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Differencialʹnye uravneniâ
Tome 9 (1973)
Précédent
Suivant
Sommaire du
Fascicule no. 1
Всесоюзный симпозиум по избранным вопросам уравнения с~частными производными
A. M. Nakhushev
p. 3-4
A certain problem for the Tricomi equation
M. Kh. Abregov
p. 5-17
The solutions of elliptic equations that are degenerate on the boundary of the domain
D. K. Gvazava
p. 18-24
Natural differential operators and the separation of variables
A. A. Dezin
p. 25-31
Well-posed boundary value problems for equations of mixed-composite type
T. D. Dzhuraev
;
U. Rakhmanov
p. 32-40
The Holmgren problem for a certain equation with singular coefficients
V. I. Evsin
p. 41-48
Conditions for the convergence of spectral decompositions that correspond to selfadjoint extensions of elliptic operators. IV.~Theorems of negative type for an arbitrary extension of a general second order selfadjoint elliptic operator
V. A. Il'in
p. 49-73
An inverse problem of potential theory for the string equation
V. M. Isakov
p. 74-83
The characteristic Cauchy problem for a certain class of degenerate hyperbolic equations
T. Sh. Kal'menov
p. 84-96
Smoothness of the solutions of the generalized Tricomi problem
V. V. Kovrizhkin
p. 97-105
Certain boundary value problems with a shift for the Lavrent'ev--Bicadze equation
S. K. Kumykova
p. 106-114
Certain problems for equations of hyperbolic and mixed types
T. I. Lanina
p. 115-122
Certain singular boundary value problems for an equation of Fuchs class in a space of generalized functions
I. P. Leskovsky
p. 123-129
The correct formulation of boundary value problems for parabolic equations with a characteristic form of variable sign
A. M. Nakhushev
p. 130-135
A certain class of integral equations of the first kind
A. I. Prilepko
p. 136-141
Certain boundary value problems for a certain class of equations of mixed type
M. S. Salakhitdinov
;
A. Tolipov
p. 142-148
The asymptotic behavior of the solutions of a certain problem with a discontinuous nonlinearity
V. B. Smirnova
p. 149-157
Energy relations for multidimensional equations of mixed type
N. G. Sorokina
p. 158-161
A certain boundary value problem with a shift
Kh. G. Bzhikhatlov
p. 162-165
A certain class of elliptic equations that degenerate on the boundry
V. A. Bryukhanov
p. 166-168
A certain equation of mixed-composite type
V. N. Vragov
p. 169-171
Certain boundary value problems for a multi-dimensional equation of mixed type
V. P. Didenko
p. 172-174
Critical points of the harmonic Green's function for the exterior of a domain that is homeomorphic to a ball
V. I. Ermakov
p. 175-176
A certain equation whose order degenerates along the curve of type change
M. M. Zainulabidov
p. 177-179
Solvability of the Dirichlet problem in the spaces
$C^{(\alpha)}(G)$
and
$L_q^{(\alpha)}(G)$
I. M. Karasev
p. 180-182
The Cauchy problem for a certain class of fourth order equations
I. N. Lanin
p. 183-185
The Cauchy problem for a degenerate hyperbolic equation
N. A. Lar'kin
p. 186-188
Series in powers of one variable that satisfy partial differential equations
A. I. Yanushauskas
p. 189-191
Letters to the editors
A. M. Kamachkin
Letter to the editors ("The existence of families of periodic solutions of a system of
$n$
second order differential equations in the resonance case'', Differencial'nye Uravnenija \textbf{5} (1969), 1984--1989)
I. A. Pasynkova
Sommaire du
Fascicule no. 2
On the question of the unique solvability of a linear periodic boundary value problem
M. I. Alekseenko
p. 203-210
A certain autonomous system of differential equations with zero roots of the characteristic equation
È. I. Grudo
p. 211-219
The solvability of a certain boundary value problem
V. V. Gudkov
;
A. Ya. Lepin
p. 220-227
Fractional powers of ordinary differential operators
I. D. Evzerov
;
P. E. Sobolevskii
p. 228-240
Stability in the large of the zero solution of a certain system of two differential equations
I. G. Egorov
p. 241-250
Construction of homogeneous Ljapunov--Krasovski{\v\i} functions
A. Ya. Kanevskii
;
L. É. Reiziņš
p. 251-259
The form and existence of the solutions of Li\'enard type equations with a movable algebraic singular point
S. G. Kondratenya
;
E. G. Prolisko
p. 260-264
Relative controllability of systems with distributed lag
V. V. Krakhotko
p. 265-270
A uniqueness theorem for the solution of the inverse problem of spectral analysis in the case of a differential equation with periodic boundary conditions
V. A. Sadovnichii
p. 271-277
Certain properties of averaged solutions of a control system with a discontinuous nonlinearity
V. S. Tonkova
;
E. L. Tonkov
p. 278-289
The behavior of the solutions of the Cauchy problem for a second order quasilinear parabolic equation as
$t\rightarrow \infty $
Yu. P. Gor'kov
p. 290-298
A certain class of nonstrictly hyperbolic operators
V. Ya. Ivrii
p. 299-306
The behavior of the eigenfunctions and eigenvalues of elliptic boundary value problems under variation of the domain
L. A. Kotko
p. 307-319
The Neumann problem for the general Lavrent'ev--Bicadze equation
L. M. Nevostruev
p. 320-324
A certain problem of the theory of functions
A. P. Soldatov
p. 325-332
Inverse problems of the logarithmic potential with analytic density
V. G. Cherednichenko
p. 333-342
The completeness of special families of solutions of degenerate equations
A. Yanushauskas
p. 343-348
The stability of the solutions of summary difference equations
Ya. V. Bykov
;
V. G. Linenko
p. 349-354
Once again on absolutely stable explicit difference schemes
V. K. Saul'ev
p. 355-360
Local controllability of differential inclusions
V. I. Blagodatskikh
p. 361-362
The role of Perron's non-regularity coefficient in the detection of stability of two-dimensional systems with respect to the first approximation
N. E. Bol'shakov
p. 363-365
A remark on the stability in the large of the solutions of a certain nonlinear system
L. I. Burganskaya
;
I. V. Gaishun
p. 366-367
Construction of controls in pursuit problems
V. I. Zubov
p. 368-369
Oscillation critieria for a linear second order equation that are connected with the existence of a ``principal'' solution
I. V. Kamenev
p. 370-373
The equivalence of a certain type of the Riemann boundary value problem for a system of
$n$
pairs of functions to a complete singular integral equation with a Cauchy kernel
V. G. Kravchenko
;
A. M. Nikolaichuk
p. 374-376
The fundamental system of solutions of an equation of Fuchs class in the space
$K'$
I. P. Leskovsky
p. 377-380
Application of the theory of continuous transformation groups to the qualitative investigation of second order dynamical systems
È. Kh. Naziev
;
G. I. Keleinikova
p. 381-382
The stability of motion in the critical case of
$2k$
zero roots
V. P. Prokop'ev
p. 383-385
Limit positions of osculating planes of the trajectories of linear systems
S. È. Cheran
p. 386-388
Vasili{\v\i} Sergeevi{\v{c}} Vladimirov (on his fiftieth birthday)
N. N. Bogolyubov
;
N. P. Erugin
;
A. V. Bitsadze
p. 389-391
Sommaire du
Fascicule no. 3
Qualitative investigation of a dynamical system on a cylinder
L. N. Belyustina
;
V. N. Belykh
p. 403-415
A sufficient optimality condition
V. I. Blagodatskikh
p. 416-422
The method of penalty functions and necessary optimality conditions for generalized solutions of an optimal control problem
Yu. M. Volin
;
G. M. Ostrovskii
;
A. V. Finkelstein
p. 423-429
The point-wise completeness of systems with lag
A. M. Zverkin
p. 430-436
The uniqueness of
$O$
-curves in a normal domain of the second kind
R. S. Levitin
p. 437-448
Second order systems without moving critical singular points
N. A. Lukashevich
;
V. I. Matatov
p. 449-455
Differential inequalities for the Sturm--Liouville problem
A. K. Ratyni
p. 456-464
Topological equivalence of differential equations with splitting truncation
A. A. Reinfeld
p. 465-468
On the question of the algebraic integrals of a certain system of differential equations
V. F. Filiptsov
p. 469-476
Spectral expansions of functions of the class
$L_p^\alpha$
Sh. A. Alimov
p. 477-486
Constant traces and the moduli of smoothness of the traces of functions of several variables on hyperplanes of different dimensions
F. G. Bulaevskaya
p. 487-493
A certain conjugacy problem of two systems of equations of different form
S. I. Gaiduk
p. 494-503
Positive solutions of the Neumann problem for quasilinear elliptic equations
V. S. Klimov
p. 504-510
Decrease of the solution of a certain boundary value problem for an equation of Sobolev
V. G. Lezhnev
p. 511-526
A certain boundary value problem for a system of partial differential equations with constant coefficients
G. B. Savchenko
p. 527-532
Linear scalar partial differential equations with regular singularities on a hyperplane
V. Kh. Froim
p. 533-541
Necessary optimality conditions of equality type in discrete systems
R. Gabasov
;
F. M. Kirillova
p. 542-546
The uniform convergence of spectral expansions of functions of the class
$L_p^\alpha$
Sh. A. Alimov
p. 547-548
Necessary optimality conditions of Kopp--Moyer type for the case of a closed control domain
E. E. Barbashina
p. 549-552
Centers of attraction of dynamical systems
V. M. Gershtein
p. 553-555
A source function for the Laplace operator for a parabolic-cylindrical domain
A. M. Glyuzman
p. 556-557
Orbit stability of trajectories
V. A. Dobrynskii
;
A. N. Sharkovskii
p. 558-559
Stability of a certain system of differential equations with periodic lag
Yu. F. Dolgii
;
S. N. Shimanov
p. 560-562
On the theory of the controllability of linear nonstationary systems
L. E. Zabello
p. 563-564
Conditions for the splitting of matrix telegraph equations
M. H. Zakhar-Itkin
p. 565-567
Necessary optimality conditions for singular controls
A. I. Kalinin
p. 568-573
A certain specific nonlinear oscillation theorem
I. V. Kamenev
p. 574-576
A certain new method of solving the Robin problem
L. G. Lamanova
p. 577-580
The oscillatoriness of the solutions of a system of nonlinear differential equations
J. D. Mirzov
p. 581-583
О~работе секции дифференциальных уравнений Майкопской конференции
K. S. Mamii
p. 584-585
Sommaire du
Fascicule no. 4
The global structure of the decomposition of the cylindrical phase space of a certain nonautonomous system
L. N. Belyustina
;
V. N. Belykh
p. 595-608
An approximate method of integrating differential equations with polynomial coefficients
N. D. Egupov
;
A. N. Dmitriev
p. 609-613
Controllability, stability of certain nonlinear systems
V. I. Korobov
p. 614-619
The solvability of linear boundary value problems for an equation of neutral type
O. I. Kyun
p. 620-625
Continuous dependence of the solution of boundary value problems for ordinary differential equations
A. Ya. Lepin
;
V. D. Ponomarev
p. 626-629
Stability and dissipativity of a certain class of nonlinear differential equations
M. M. Lychak
p. 630-636
Certain questions of the asymptotic behavior of the solutions of nonlinear differential equations with retarded argument
O. N. Odarich
;
V. N. Chevelo
p. 637-646
The phase diagrams of systems of differential equations that satisfy axiom~
$A$
S. Yu. Pilyugin
p. 647-649
The problem of distinguishing the center and the focus
A. P. Sadovskii
p. 650-659
The boundary value problem for a system of ordinary differential equations with a complex parameter
N. I. Shkil'
;
V. V. Terletskii
p. 660-668
Uniform convergence and summability of the spectral expansions of functions from
$L_p^\alpha$
Sh. A. Alimov
p. 669-681
The Cauchy problem in classes of increasing functions for certain quasilinear degenerate second order parabolic equations
A. S. Kalashnikov
p. 682-691
Solution of one-dimensional problems for a parabolic system of arbitrary order in unbounded domains
Yu. A. Mamedov
p. 692-701
Optimal stopping of diffusion processes, and parabolic variational inequalities
T. Tobias
p. 702-708
Asymptotic estimates of the convergence of the Ritz method in the eigenvalue problem for a degenerate elliptic operator
T. O. Shaposhnikova
p. 709-716
Pointwise error estimates of the difference solution of a boundary value problem for an ordinary differential equation
E. A. Volkov
p. 717-726
Optimal control of discrete systems
B. Mordukhovich
p. 727-734
A certain equation with deviating argument
R. G. Aliev
p. 735-739
The absence of a nontrivial solution belonging to
$L_2[x_0,+\infty)$
of the equation
$y^{(n)}+p(x)y=0$
L. I. Anikeeva
p. 740-742
The maximum principle for processes with distributed parameters and retarded arguments
K. K. Gasanov
p. 743-746
Systems of pseudodifferential equations in
$R^n$
A. A. Kuleshov
p. 747-750
Movable singular points of a certain system of differential equations
A. M. Markina
p. 751-753
Estimation of the value of a known functional from an unknown solution
A. D. Myshkis
;
N. P. Parshikova
p. 754-756
Connected partial differential operators and boundary value problems
V. I. Paškovskii
p. 757-760
Integration of an evolution equation in Banach space
Yu. V. Plyushchev
p. 761-763
On the question of the existence of solutions of Li\'enard type equations with a movable algebraic singular point
E. G. Prolisko
p. 764-767
Solutions bounded on the halfaxis of a second order nonlinear elliptic equation in a Banach space
V. G. Raskin
p. 768-770
The solution of certain nonlinear boundary value problems for domains of complex form by the lattice method
V. L. Rvachev
;
A. P. Slesarenko
p. 771-773
A variant of the problem with a contact discontinuity for systems of three quasilinear equations
A. D. Sidorenko
p. 774-777
Three theorems on the Poincar\'e index for the equation
$y'=P_4(x,y)/Q_4(x,y)$
P. T. Cherevichny
p. 778-779
Всесоюзный симпозиум по дифференциальным и интегральным уравнениям
B. Aliev
Sommaire du
Fascicule no. 5
On the distinguishing problem for
$N_2$
in
$R^n$
A. F. Andreev
p. 791-796
Differential inequalities and the structure of the integral vortex of systems of functional differential equations of neutral type
R. R. Akhmerov
;
A. E. Rodkina
p. 797-806
The optimal control problem under constraints on the phase coordinates
G. M. Begalishvili
p. 807-814
Autooscillations of arbitrary period
V. I. Voilokov
p. 815-820
Investigation of the neighborhood of a family of invariant toroidal manifolds
A. S. Gurtovnik
;
Yu. I. Neimark
p. 821-831
A boundary value problem for systems of conditionally stable type with different small parameters multiplying the higher derivatives
T. D. Kozlovskaya
p. 832-845
The stability of a program manifold.~I
I. A. Mukhametzyanov
p. 846-856
A certain theorem on the characteristic exponents of not almost reducible systems of linear differential equations with almost periodic coefficient matrices
V. L. Novikov
p. 857-859
The absence of the value of a pursuit game
N. N. Petrov
p. 860-867
On the question of the regularization of linear boundary value problems
L. F. Rakhmatullina
;
A. G. Terent'ev
p. 868-873
The method of initial functions for equations of superneutral type
V. P. Skripnik
p. 874-879
Singlevaluedness of movable singular points of a certain equation
L. P. Sulima
p. 880-889
Pseudodifferential operators in
$R^n$
.~I
A. A. Kuleshov
p. 890-900
Essential and nonessential boundary sets for the Neumann problem
E. I. Moiseev
p. 901-911
Equations of continuum mechanics
V. M. Šalov
p. 912-921
The method of Volterra integral equations in eigenvalue problems with several parameters
B. A. Bel'tyukov
;
N. N. Kochetkov
p. 922-930
A certain class of integral equations
A. G. Ramm
p. 931-941
The qualitative behavior of the real solutions of the first Painlev\'e equation
D. A. Bartashevich
p. 942-944
Certain critical cases for equations of neutral type with small lag
A. B. Vasil'eva
;
A. A. Plotnicov
p. 945-946
The Picard method
N. P. Erugin
p. 947-950
A necessary and sufficient condition for the discreteness of the spectrum of a monomial operation in the matrix case
G. A. Kalyabin
p. 951-954
Invariance of a certain linear system with lag
V. P. Kirlitsa
p. 955-957
Preservation of the asymptotic stability property in the case of a zero root
G. S. Krechetov
p. 958-960
Inequalities of the Wa{\.z}ewski inequality type for the system
$x^{''}=A(t)x$
V. N. Laptinskii
p. 961-964
The convergence properties of a third order differential equation
E. A. Nazarov
p. 965-966
A certain generalization of three-dimensional harmonic functions
Yu. N. Nemish
p. 967-968
Lev Dmitrievi{\v{c}} Kudrjavcev (on his fiftieth birthday)
N. P. Erugin
;
S. M. Nikol'skii
;
G. N. Yakovlev
p. 969-973
Sommaire du
Fascicule no. 6
The singular solutions of nonlinear differential equations.~I
Ya. V. Bykov
;
N. I. Fomina
p. 983-994
Construction of the equations for stable programmed motion of mechanical systems
A. F. Vishnyakov
p. 995-1000
A generalized Euler method for the integration of a linear system with variable coefficients
N. A. Izobov
p. 1001-1018
The integral configurations of linear differential systems
O. A. Kastritsa
;
G. N. Petrovskiǐ
p. 1019-1025
The representation of the solutions of a linear functional-differential equation
V. P. Maksimov
;
L. F. Rakhmatullina
p. 1026-1036
The stability of a programmed manifold.~II
I. A. Mukhametzyanov
p. 1037-1048
The stability of certain systems with perturbed argument
V. P. Skripnik
p. 1049-1057
Certain questions of the control theory in the plane
N. N. Petrov
p. 1058-1067
The limit sets of two-dimensional unstable manifolds in three-dimensional systems of differential equations
S. Yu. Pilyugin
p. 1068-1072
Simple exceptional sets of nonautonomous quasihomogeneous systems
Yu. V. Churin
p. 1073-1084
Difference schemes of first order accuracy for quasilinear hyperbolic systems.~I
V. N. Abrashin
;
P. A. Vakulchik
p. 1085-1098
Pseudodifferential operators in
$R^n$
.~II
A. A. Kuleshov
p. 1099-1108
The behavior near the boundary of the Green's functions of the Dirichlet and Neumann problems for a second order elliptic equation.~I
T. V. Lossievskaya
p. 1109-1122
Local and global theorems for the existence and uniqueness of solutions of nonlinear singular integral equations on a countable set of contours
G. M. Magomedov
p. 1123-1132
A remark on a certain boundary value problem
V. V. Gudkov
p. 1133-1135
The uniqueness of the solution of a generalized Neumann--Tricomi problem
V. P. Egorov
p. 1136-1137
The Cauchy formula for a linear equation of general form in generalized functions
S. T. Zavalishchin
p. 1138-1140
The divergence on a set of positive measure of the spectral decompositions of kernels of fractional order
N. Mahmedzhanov
p. 1141-1142
Conditions for the existence of solutions that go to zero for a certain nonlinear first order differential equation
G. S. Krechetov
p. 1143-1145
The removal of the singularity of a differential equation in a certain case
G. S. Osipenko
p. 1146-1148
On the question of the existence of a transformation to normal form
A. V. Osipov
p. 1149-1150
The stability of a certain nonlinear third order system
L. S. Tchebykin
p. 1151-1153
Integration of certain classes of systems of two first order ordinary differential equations
V. P. Shapovalov
p. 1154-1155
Asymptotic behavior of the solutions of one-point and two-point problems with singular perturbations for systems of linear ordinary differential equations
A. A. Shishkin
p. 1156-1160
Поправки к~статье: «О~характеристической задаче Коши для одного класса вырождающихся
T. Sh. Kal'menov
Поправки к~статье: «Дифракция поля излучения горизонтального диполя на круговом отверстии
A. Karpuk
Поправки к~статье: «Критерий единственности траектории, входящей в~точку покоя по заданному
L. É. Reiziņš
;
L. A. Bieza
Sommaire du
Fascicule no. 7
The contraction spectrum of the generating operator of an
$\varepsilon $
controlled linear dynamical system
V. A. Baidosov
p. 1171-1176
Periodic oscillations with large amplitude.~II
Ya. V. Bykov
;
K. A. Kiriy
p. 1177-1186
The solvability of boundary value problems in the small
N. I. Vasilyev
;
Yu. A. Klokov
p. 1187-1194
Investigation of a discrete relay system by the method of point transformations of the switching domains.~I
V. A. Gustomesov
p. 1195-1206
On the question of the positivity of a Cauchy function
Yu. I. Zubko
;
V. A. Tyshkevich
p. 1207-1213
Systems of two differential equations having no solutions with movable essential singular points
S. G. Kondratenya
p. 1214-1221
Topological equivalence of linear flows
N. N. Ladis
p. 1222-1235
Certain properties of entire solutions of nonlinear differential equations
L. G. Oreschenko
p. 1236-1243
The properties of the Bellman function
T. Yu. Petrenko
p. 1244-1255
The phase diagrams of three-dimensional systems of differential equations of Morse--Smale type
S. Yu. Pilyugin
p. 1256-1261
Uniform stability under parametric perturbations
E. S. Pyatnitskii
p. 1262-1274
Certain methods of investigating equations with deviating argument
A. G. Terent'ev
;
T. Ya. Shishova
p. 1275-1280
Algebraic limit cycles
V. F. Filiptsov
p. 1281-1288
Behavior of the solutions of quasihomogeneous systems having only simple exceptional sets
Yu. V. Churin
p. 1289-1297
Differential equations for the Feynman integral of the self-energy diagram
V. A. Golubeva
p. 1298-1309
Connection between the fundamental solutions in cylindrical and spherical coordinates (with the same origin) for certain equations of mathematical physics
V. T. Erofeenko
p. 1310-1317
The solvability of generalized boundary value problems for second order elliptic equations
T. V. Lossievskaya
p. 1318-1325
The Goursat and the Darboux problem for a certain class of hyperbolic systems
M. Meredov
p. 1326-1333
On the question of the abstract Cauchy problem
S. M. Ponomarev
p. 1334-1338
The Cauchy problem for a certain nonstationary equation
I. V. Suveyka
p. 1339-1346
The relative position of the integral tubes of two linear differential systems
O. A. Kastritsa
;
G. N. Petrovskiǐ
p. 1347-1348
Forms of movable singularities of a certain differential system
A. M. Markina
p. 1349-1350
On the theory of the third order homogeneous equation of degree two
L. P. Sulima
The asymptotic stability of a second order linear system that depends on parameters
L. V. Trigubovich
p. 1352-1354
Sommaire du
Fascicule no. 8
The support principle in optimal control problems
V. G. Boltyanskii
p. 1363-1370
Affine invariants of a system with quadratic nonlinearities
È. F. Gasinskaya
;
K. S. Sibirskii
p. 1371-1382
Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. I.~Dependence of the optimal control on the initial state and on the parameters
T. Gichev
p. 1383-1392
Asymptotic solutions of second order linear homogeneous differential equations in a Banach space with a small parameter multiplying the highest derivative
L. A. Groza
p. 1393-1402
Investigation of a discrete relay system by the method of point transformations of the switching domains.~II
V. A. Gustomesov
p. 1403-1416
Linear equations with integral separation that are everywhere dense in the set of all linear differential equations of order
$n$
Kamal Ahmed Dib
p. 1417-1424
Conditions for a priori boundedness of the solutions of boundary value problems for third order equations
Yu. A. Klokov
;
L. N. Pospelov
p. 1425-1431
The cycles of the equation
$y'=Q_2(x,y)/P_2(x,y)$
L. A. Cherkas
p. 1432-1437
Estimates of the fundamental potentials for parabolic equations of higher order.~I
E. A. Baderko
p. 1438-1451
The axially symmetric Dirichlet problem of the static theory of elasticity in displacements for a domain that is bounded by a cylindrical and a spherical surface
V. T. Erofeenko
p. 1452-1463
The branching of the solutions of differential equations with a degeneracy
N. A. Sidorov
p. 1464-1481
The approximation of the solutions of boundary value problems in unbounded domains
L. Shimon
p. 1482-1492
On the approximate solution of singular integrodifferential equations. I.~Linear equations
I. V. Boykov
;
I. I. Zhechev
p. 1493-1502
Regularization of ill-posed convolution type equations by means of generalized summation of integrals
O. A. Liskovets
p. 1503-1510
Set-valued mappings in the theory of integral equations with a discontinuous operator
L. N. Lyapin
p. 1511-1519
Bifurcations of the separatrices and limit cycles of a two-dimensional dynamical system under a rotation of the field
N. N. Butenina
p. 1520-1522
Sufficient conditions for the oscillatoriness of the solutions of nonlinear finite difference equations
Ya. V. Bykov
;
L. V. Zhivoglyadova
;
E. I. Shevtsov
p. 1523-1524
On the optimization of motions
V. I. Zubov
p. 1525-1526
Sufficient conditions for stability and instability in the sense of V.\,I.~Zubov of invariant manifolds of differential systems
I. G. Krosko
p. 1527-1529
Partial stability in the first approximation
A. V. Lutsenko
;
L. V. Stadnikova
p. 1530-1533
Meromorphic solutions of linear differential equations with meromorphic coefficients
V. D. Mokhon'ko
p. 1534-1536
A fixed point method in certain boundary value problems for ordinary differential equations with discontinuous right hand side
R. K. Ragimkhanov
p. 1537-1539
A proof of the presence of an infinite number of limit cycles for the equation
$\ddot y+\mu\ sin$
$(\dot y+\theta )+y=0$
G. S. Rychkov
p. 1540-1542
Rafa\`el' Aramovi{\v{c}} Aleksandrjan (on the occasion of his fiftieth birthday)
S. N. Mergelyan
;
I. M. Gel'fand
;
O. A. Oleinik
p. 1543-1546
Sommaire du
Fascicule no. 9
Sufficient conditions for the oscillatoriness of the solutions of nonlinear differential equations with deviating argument
Ya. V. Bykov
;
L. Ya. Bykova
;
E. I. Shevtsov
p. 1555-1560
Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. II.~Dependence of the optimal trajectory on the initial state, on the perturbations and on the parameters
T. Gichev
p. 1561-1571
Movable singular points of a completely integrable first order total differential equation
È. I. Grudo
p. 1572-1582
Existence, uniqueness and convergence of successive approximations for differential equations of neutral type with lag
M. E. Drakhlin
;
T. K. Plyshevskaya
p. 1583-1592
A general class of systems of two differential equations that have no solutions with movable essential singularities
S. G. Kondratenya
p. 1593-1600
Nonselfadjoint abstract differential operators with discrete spectrum
A. N. Kochubei
p. 1601-1608
The averaging of the trajectories of slow dynamical systems
S. M. Meerkov
p. 1609-1617
The boundary of the set of controllability of plane holomorphic systems
N. N. Petrov
p. 1618-1626
Representation of the solutions of linear differential-difference equations of neutral type
V. M. Polischuk
;
A. N. Sharkovskii
p. 1627-1645
Estimates of the fundamental potentials for parabolic equations of higher order.~II
E. A. Baderko
p. 1646-1653
Asymptotic behavior of the solution of the equation
$\mu^2\Delta u-k^2(x,y)u=f(x,y)$
in a rectangular domain
V. F. Butuzov
p. 1654-1660
A certain method for the solution of partial differential equations
V. M. Darevskii
p. 1661-1672
A uniqueness theorem for a certain inverse problem for a system of hyperbolic equations of order~
$n$
S. Elubaev
p. 1673-1682
Diffraction of electromagnetic waves in a cylinder by a sphere
V. T. Erofeenko
p. 1683-1692
Solution of a certain boundary value problem of the theory of the diffraction of waves for a region that is bounded by a plane and by the surface of an elliptic cylinder
E. A. Ivanov
;
V. V. Makarova
p. 1693-1699
The smoothness of the eigenfunctions of a compressed plate near the corners
È. A. Pais
p. 1700-1706
Normal solvability in the sense of Hausdorff of a certain nonlinear problem
V. R. Portnov
p. 1707-1717
Certain necessary conditions for the stability in the large of the zero solution of a certain system of
$n$
~nonlinear differential equations that satisfy generalized Routh--Hurwitz conditions
L. I. Burganskaya
p. 1718-1720
Necessary conditions for the optimality of multidimensional singular controls
S. Ya. Gorokhovik
p. 1721-1724
The Goursat problem over Gevrey spaces
K. I. Kol'tsova
p. 1725-1727
The optimal control of a system with free initial and final states in Hilbert space
M. M. Kopets
p. 1728-1729
Certain boundary value problems and their approximate solutions
V. S. Mokeichev
p. 1730-1733
A study of the set of periodic solutions of a certain system of second order differential equations without dissipation
G. L. Yuzbashev
p. 1734-1737
Sommaire du
Fascicule no. 10
On the proof of the maximum principle for objects with continuous time
V. G. Boltyanskii
p. 1747-1753
Optimal control of a process of trajectory measurements under random perturbations
V. B. Kolmanovskii
p. 1754-1764
Conditions for the existence of solutions with singular initial conditions of a nonlinear system of two differential equations
S. G. Kondratenya
;
A. I. Yablonskii
p. 1765-1773
Generalized Ljapunov functions, and the theory of exceptional directions
Yu. V. Malyshev
p. 1774-1779
Differential equations with fixed critical singular points
I. P. Martynov
p. 1780-1791
Contact avoidance problem in differential games with nonlinear controls
E. F. Mishchenko
;
N. Satimov
p. 1792-1797
On the problem of the construction of equations of programmed motions
I. A. Mukhametzyanov
p. 1798-1809
Certain properties of the
$O$
-curves of first order equations with factored right-hand side
V. V. Nikonenko
p. 1810-1816
On the problem of the center for systems with discontinuous right-hand sides
I. I. Pleshkan
;
K. S. Sibirskii
p. 1817-1825
The almost recurrent and recurrent motions of discontinuous dynamical systems
V. F. Rozhko
p. 1826-1830
The question whether nonlinear mixed problems for almost linear hyperbolic systems in the plane are well posed
V. N. Gol'dberg
p. 1831-1844
Continuous branches of the eigenfunctions of quasilinear elliptic problems
V. S. Klimov
p. 1845-1850
Method of
$\varepsilon $
-quasisolutions for equations of the first kind
O. A. Liskovets
p. 1851-1861
The construction of order-optimal approximate solutions of linear conditionally well-posed problems
V. N. Strakhov
p. 1862-1874
Diffraction of a plane sonic wave in an angular domain whose boundaries are absolutely rigid and slippery and coated thin elastic plates
A. A. Tuzhilin
p. 1875-1888
Smoothness of generalized solutions near the vertex of a polyhedral angle
A. F. Filippov
p. 1889-1903
Existence of invariant tori for systems of difference equations
A. M. Samoilenko
;
D. I. Martynyuk
;
N. A. Perestyuk
p. 1904-1910
Comparison functions for the solutions of a certain first order nonlinear differential equation
G. S. Krechetov
p. 1911-1914
A plane mixed heat conduction problem for a wedge
L. Ya. Tikhonenko
p. 1915-1918
On a certain theorem of N.\,E.~{\v Z}ukovski{\v\i}
A. Ya. Khokhryakov
p. 1919-1921
Sommaire du
Fascicule no. 11
On the question of differential inequalities for equations with retarded argument
N. V. Azbelev
;
Yu. I. Zubko
;
S. M. Labovski
p. 1931-1936
Periodic solutions of a certain autonomous system of ordinary differential equations with discontinuous right-hand sides
M. A. Amatov
p. 1937-1944
Strictly positive solutions of periodic systems of ordinary differential equations
B. M. Arkhipov
;
A. Ya. Khokhryakov
p. 1945-1955
The differential equation of neutral type that has an integrating factor
G. A. Kamenskii
;
A. D. Myshkis
;
N. Vaynberg
p. 1956-1965
Approximate solutions of a certain class of nonlinear nonstationary equations
A. G. Zarubin
;
M. F. Tiunchik
p. 1966-1974
The stabilization of a countable system of differential equations
V. Ya. Egorov
p. 1975-1982
Contruction of the equations of programmed motions restricted by unilateral constraints
I. A. Mukhametzyanov
p. 1983-1993
The boundedness of the solutions of a certain second order differential equation
S. N. Olekhnik
p. 1994-1999
On the pursuit problem in linear differential games
N. Satimov
p. 2000-2009
On the theory of the second order differential equation of degree two
L. P. Sulima
p. 2010-2019
A generalization of Ljapunov's second method
M. M. Khapaev
p. 2020-2028
Difference schemes for nonlinear hyperbolic equations.~I
V. N. Abrashin
p. 2029-2040
The Lagrange--Charpit method in the restricted circular three-body problem
E. A. Grebenikov
;
M. N. Kiosa
p. 2041-2047
The solvability of the Dirichlet problem for an elliptic equation of order
$21$
in the class
$W_2^{(2l)}$
È. M. Saak
p. 2048-2051
The second boundary value problem for a certain fourth order equation of mixed type in the disc
M. M. Smirnov
p. 2052-2057
On the theory of Malju{\v z}inec's inhomogeneous functional equations
A. A. Tuzhilin
p. 2058-2064
On the question of the convergence of successive approximations and the uniqueness of the solution of a system of integral equations with fixed singularities
V. G. Ogandzhanyan
p. 2065-2074
An iterative method for the solution of the integral equation of the third boundary value problem
A. G. Ramm
p. 2075-2079
The oscillatoriness of the solutions of nonlinear finite difference equations
Ya. V. Bykov
;
L. V. Zhivoglyadova
p. 2080-2081
The solutions of Painlev\'e's third equation
V. I. Gromak
p. 2082-2083
An application of the method of potentials to the solution of a certain type of boundary value problems of higher order elliptic equations in
$n$
-dimensional space
I. G. Lobodzinskaya
p. 2084-2087
The algebraic basis for a certain controllability criterion
V. M. Marchenko
p. 2088-2091
Conditions for the movable singular points of a certain system of differential equations to be single-valued
V. I. Matatov
p. 2092-2094
Certain invariant sets of control systems
N. N. Petrov
p. 2095-2096
A certain modification of Šilov's method
E. G. Sadovnikov
p. 2097-2098
A certain estimate for the solutions of systems of linear differential equations with lag
V. Z. Tsalyuk
p. 2099-2101
On the stability in the large of a third order system with ``its own'' nonlinearities in a certain special case
V. I. Shiryaev
p. 2102-2104
Viktor Dmitrievi{\v{c}} Kupradze (on the occasion of his seventieth birthday)
A. V. Bitsadze
;
N. P. Erugin
;
V. I. Krylov
p. 2105-2111
Letter to the editors: ``A sufficient optimality condition'' (Differencial'nye Uravnenija \textbf{9} (1973), 416--422)
V. I. Blagodatskikh
Sommaire du
Fascicule no. 12
A certain critical case in the theory of stability of motion
Yu. N. Bibikov
p. 2123-2135
The differentiability of solutions with respect to the initial conditions
V. I. Blagodatskikh
p. 2136-2140
Systems with an invariant set
Yu. V. Malyshev
p. 2141-2145
The oscillatory nature of the solutions of a certain system of second order ordinary differential equations
S. N. Olekhnik
p. 2146-2151
The structure of the boundary of the characteristic set of a structurally stable three-dimensional dissipative system
S. Yu. Pilyugin
p. 2152-2161
Existence of a solution of a boundary value problem with a functional boundary condition
V. D. Ponomarev
p. 2162-2165
Asymptotic properties of the solutions of differential equations with linear principal terms
L. É. Reiziņš
;
S. È. Cheran
p. 2166-2175
The smoothness of Bellman's function for a linear optimal control problem
N. Satimov
p. 2176-2179
Disconjugacy and number of switchings in a linear time-optimal nonstationary system
E. L. Tonkov
p. 2180-2185
Difference schemes of first order accuracy for quasilinear hyperbolic systems
V. N. Abrashin
;
P. A. Vakulchik
p. 2186-2201
A certain method of reducing boundary value problems of mathematical physics to a mathematical programming problem
V. L. Rvachev
;
N. F. Ganzhela
p. 2202-2206
Uniqueness conditions for the generalized solution of the Cauchy problem for a certain class of quasilinear degenerate parabolic equations
A. S. Kalashnikov
p. 2207-2212
The solution of a certain class of boundary value problems with mixed boundary conditions by the method of determining states
B. M. Lisitsyn
;
È. M. Lisitsyn
p. 2213-2221
The application of a certain difference method to abstract hyperbolic equations
V. A. Rastrenin
p. 2222-2226
Controllable integro-differential operators
Yu. K. Lando
p. 2227-2230
A linear functional-differential equation that is solved with respect to the derivative
V. P. Maksimov
;
L. F. Rakhmatullina
p. 2231-2240
Sufficient conditions for the oscillatory nature of the solutions of nonlinear finite difference equations
Ya. V. Bykov
;
E. I. Shevtsov
p. 2241-2244
Stability of a system that is described by differential equations and constraints of the type of equalities
I. V. Gaishun
p. 2245-2247
The structure of matrices of coefficients of linear spherically combined systems
O. A. Kastritsa
p. 2248-2250
Third order systems without critical movable singular points
I. A. Konoplyanik
p. 2251-2254
On the estimation of the solutions of a system of linear difference equations
V. P. Kuznetsov
p. 2255-2256
Asymptotic behavior of the solutions of quasihomogeneous differential systems
N. N. Ladis
p. 2257-2260
A certain application of parametric functions of matrices in the theory of linear systems
V. N. Laptinskii
p. 2261-2264
An overdetermined system of linear partial differential equations with constant coefficients
Kh. M. Malikov
p. 2265-2266
Systems of differential equations without movable critical singular points
V. I. Matatov
p. 2267-2269
The stabilization of linear controllable systems under constantly acting perturbations
A. M. Meilakhs
p. 2270-2271
Certain properties of homogeneous differential systems
M. G. Okhrimenko
p. 2272-2275
Integral estimates of the fractional derivatives of a harmonic function, and some of their applications
A. S. Fokht
;
V. A. Krasnov
p. 2276-2279
Properties of a certain class of degenerate elliptic systems of second order equations
R. M. Sharipova
p. 2280-2283
The minimal number of inputs of a controllable system
B. Sh. Shklyar