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Differencialʹnye uravneniâ
Tome 8 (1972)
Précédent
Suivant
Sommaire du
Fascicule no. 1
A mixed problem for a hyperbolic equation degenerate on a part of the bounday of a region
V. A. Bryukhanov
p. 3-6
The Goursat and Darboux problems for a certain class of hyperbolic equations
V. N. Vragov
p. 7-16
Certain estimates for equations of mixed type
D. K. Gvazava
p. 17-23
The generalized solvability of boundary value problems for systems of differential equations of mixed type
V. P. Didenko
p. 24-29
The uniqueness of the solution of the contact inverse problem of potential theory
V. M. Isakov
p. 30-40
A criterion for the continuity of the solution of the Goursat problem for a certain degenerate equation
T. Sh. Kal'menov
p. 41-54
Equations of mixed type and degenerate hyperbolic equations in multidimensional domains
G. D. Karatoprakliev
p. 55-67
Weak solutions of the Darboux problem
V. V. Kovrizhkin
p. 68-75
The Cauchy problem for a second order quasilinear hyperbolic equation with initial data on the curve of parabolicity
N. A. Lar'kin
p. 76-84
Asymptotic behavior of the solution of the Cauchy problem as
$t\rightarrow \infty $
for a certain hyperbolic system that describes the motion of a rotating fluid
V. N. Maslennikova
p. 85-96
The Darboux problem for a degenerate hyperbolic system
M. Meredov
p. 97-106
On apriori estimates for the Tricomi and Darboux problems
A. M. Nakhushev
p. 107-117
An interior inverse problem of the metaharmonic potential for a body that is close to the given one
A. I. Prilepko
p. 118-125
Boundary value problems for the system
${\rm rot}\ u+\lambda u=h$
R. S. Saks
p. 126-133
Certain boundary value problems for equations of mixed type with one and two curves of degeneracy
M. S. Salakhitdinov
;
A. Tolipov
p. 134-142
The uniqueness of the solution of a certain problem of A.\,V.~Bicadze
A. P. Soldatov
p. 143-146
A certain class of projection methods
V. D. Charushnikov
p. 147-153
Interior inverse problems for the logarithmic potential
V. G. Cherednichenko
p. 154-163
A one-dimensional scattering theory.~I
A. B. Shabat
p. 164-178
Reduction of the problem of the oblique derivative to a Fredholm integro-differential equation
A. Yanushauskas
p. 179-189
Comment on conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators
V. A. Il'in
;
Sh. A. Alimov
Sommaire du
Fascicule no. 2
On the theory of necessary second order optimality conditions.~I
E. E. Barbashina
p. 199-213
The differential equation that is connected with the problem of the conformal mapping of a circular pentagon with a slit
È. N. Bereslavskii
p. 214-222
The periodic oscillations with large amplitude of certain classes of nonlinear systems
Ya. V. Bykov
;
R. Kabulov
p. 223-229
The structure of the solutions of a certain system of two differential equations.~II
È. I. Grudo
p. 230-242
On the game-theoretical problem of deflection
N. N. Krasovskii
p. 243-248
Linear differential systems
V. N. Laptinskii
p. 249-253
The complete controllability of a linear system with lag
S. A. Minyuk
p. 254-259
Linear differential pursuit games in the presence of lags
M. S. Nikol'skii
p. 260-267
On a conjecture of Smale
V. A. Pliss
p. 268-282
The stability of dynamical systems on a given time interval
V. D. Furasov
p. 283-289
The behavior of the solution of a boundary value problem for a system of ordinary differential equations with a small parameter multiplying the derivative
A. A. Shishkin
p. 290-299
Linear dynamical systems with control
F. A. Sholokhovich
p. 300-308
The index and the normal solvability of a general elliptic boundary value problem with a finite group of shifts on the boundary
A. B. Antonevich
p. 309-317
On the Gevrey theory for parabolic potentials.~IV, V
L. I. Kamynin
p. 318-332
Some new relations between control systems and equations of mathematical physics.~I
E. M. Polishchuk
p. 333-348
The uniqueness of a solution of the Cauchy problem for second order equations
V. S. Ryzhii
p. 349-361
Asymptotically bilateral methods of solution of partial differential equations
V. K. Saul'ev
p. 362-371
The divergence on a set of positive measure of the Riesz means of kernels of fractional order
V. A. Il'in
;
Sh. A. Alimov
p. 372-373
The solutions of the equation
$\Delta \Delta u=f$
in a piecewise smooth domain
V. A. Koldorkina
p. 374-376
On the question of the stability in the large of a certain class of nonlinear control systems
D. A. Ovsyannikov
p. 377-379
Discrete groups of problems
E. N. Petrov
p. 380-382
A plane boundary value problem for determination of the initial stresses in a soil formation that is anisotropic with respect to water permeability
V. A. Ryzhkov
;
P. I. Kharitonenko
p. 383-386
Sommaire du
Fascicule no. 3
On the topology of the family of integral curves of a homogeneous differential equation
A. N. Berlinskii
p. 395-405
On the question of the homogeneity of minimal sets
I. U. Bronshtein
;
M. Sh. Kholodenko
p. 406-414
The almost periodic solutions of certain nonlinear systems of differential equations with deviating argument
D. A. Vzovsky
p. 415-423
On the theory of differential
$n$
-person games
V. V. Gorokhovik
p. 424-434
Realization of a prescribed motion in the case of constantly acting perturbations by a sampled-data correction
S. T. Zavalishchin
p. 435-442
Conditions for negativity of the Green's function of a two-point boundary value problem with deviating argument
I. I. Kobyakov
p. 443-452
The almost periodic solutions of homogeneous differential equations
A. I. Perov
;
Q. H. Ta
p. 453-458
A generalization of the perturbation method for equations with lag, and application of it to the computation of transition processes in automatic control systems
A. M. Rodionov
;
V. S. Toroptsev
p. 459-464
Asymptotic properties of the solutions of nonlinear differential equations with retarded argument
V. B. Uvarov
p. 465-472
A certain class of functional equations
V. P. Gromov
p. 473-485
The third exterior boundary value problem for a second order elliptic equation.~II
I. A. Danilova
p. 486-493
Gevrey’s theory for parabolic potentials.~V
L. I. Kamynin
p. 494-509
The integration of a system of linear partial differential equations with retarded argument
N. A. Sotnichenko
p. 510-522
On the theory of linear equations with functional argument
L. F. Rakhmatullina
p. 523-528
The decomposition of G.~P\'olya and G.~Mammana for a system of equations
M. K. Bugir
p. 529-530
The stability in the large of a certain system of
$n$
nonlinear differential equations
L. I. Burganskaya
p. 531-533
Differential inequalities for linear differential equations with retarded argument
Yu. I. Zubko
p. 534-538
The existence and uniqueness of solutions of nonlinear equations
V. I. Zubov
p. 539-540
The determination of elements of motion
V. I. Zubov
p. 541-542
A qualitative investigation of certain differential equations
Yu. K. Metlyaev
p. 543-544
A certain method of solving an integral equation
A. A. Mirolubov
;
V. T. Shishina
p. 545-548
Multipoint boundary value problems for linear integro-differential equations in a class of smooth functions
I. V. Parkhimovich
p. 549-552
The behavior of the solutions of a periodic system of two differential equations that has an integral set of zero measure
V. A. Pliss
p. 553-555
Nontopological mapping of the phase plane in the qualitative theory of first order differential equations
A. M. Tezin
p. 556-558
Mazit Ifatovi{\v{c}} Al'muhamedov
I. Kh. Mudarisov
;
B. G. Gazizov
p. 559-560
Sommaire du
Fascicule no. 4
A certain class of linear dynamical systems
V. A. Baidosov
p. 571-580
The influence of local perturbations on the solution of a boundary value problem
A. B. Vasil'eva
p. 581-589
A boundary value problem on the half-axis for an equation with a discontinuous right hand side
A. I. Kolosov
p. 590-597
The solution of a boundary value problem for a certain class of nonlinear ordinary differential equations by the method of successive approximations
G. N. Pihteev
;
L. V. Myachina
p. 598-606
The degenerate periodic boundary value problem
A. Ya. Khokhryakov
p. 607-614
Asymptotic behavior of solutions of boundary value problems for systems of linear ordinary differential equations with a small parameter multiplying the derivative
A. A. Shishkin
p. 615-632
Certain questions of the instability of systems with aftereffect
G. S. Yudaev
p. 633-638
Asymptotically almost periodic solutions of certain nonstationary boundary value problems
B. G. Ararktsyan
p. 639-644
Certain properties of differential operators with variable coefficients that depend on the form of the domain
N. A. Zhikhar
p. 645-651
The problem of quasi-inversion for the heat equation in a uniform metric
V. K. Ivanov
p. 652-658
Expansion in eigenfunctions of the operator of elasticity theory
M. Ismatov
p. 659-670
A certain problem for a degenerate nonlinear system of equations of elliptic type
I. V. Maiorov
p. 671-677
On the problem of analytic construction of regulators for equations of parabolic and hyperbolic type
G. N. Mil'shtein
p. 678-695
The solution of mixed boundary value problems in nonhomogeneous media for multiply connected domains of complex form by the lattice method
V. L. Rvachev
;
A. P. Slesarenko
p. 696-705
The stability of the Dirichlet problem for elliptic equations of arbitrary order
È. M. Saak
p. 706-714
The existence of a Nash point in the problem of program control
È. M. Vaisbord
p. 715-717
On the question of incidence of the representing point with the sliding surface in the method of modified differential descent
S. M. Gerashchenko
p. 718-720
Some topological properties of a certain integral operator
M. E. Drakhlin
p. 721-724
Conditions for the existence of a solution of a certain multipoint boundary value problem for a system of differential equations
L. I. Zagulyaeva
p. 725-726
Group properties of ordinary second order linear differential equations
E. S. Kostenko
p. 727-730
A certain method for the representation of the solutions of differential equations
S. S. Kutateladze
;
A. M. Rubinov
p. 731-733
A certain application of Picard's theorem to higher order differential equations
A. Z. Samuilov
p. 734-736
The convergence phenomenon of a certain nonlinear system
V. N. Shchennikov
p. 737-739
Всесоюзная конференция по качественной теории дифференциальных уравнений в г. Рязани
Sommaire du
Fascicule no. 5
On the theory of necessary second order optimality conditions.~II
E. E. Barbashina
p. 751-761
On the theory of singularly perturbed problems with branch points for degenerate equations
Yu. P. Boglaev
p. 762-766
Theory of the controllability of linear discrete systems. I.~The defining equation
R. Gabasov
;
F. M. Kirillova
;
V. V. Krakhotko
;
S. A. Minyuk
p. 767-773
Conditions for the solvability of a certain boundary value problem for a system of differential equations
L. I. Zagulyaeva
p. 774-777
An integral comparison theorem for certain systems of linear differential equations
I. V. Kamenev
p. 778-784
On the question of the asymptotic behavior of oscillatory solutions of a second order nonlinear differential equation
A. G. Katranov
p. 785-789
Energy functions for certain dynamical systems
N. N. Ladis
p. 790-794
The instability of the characteristic exponents of systems of linear differential equations with almost periodic coefficients
V. L. Novikov
p. 795-800
On the Poincar\'e--Denjoy theory of multidimensional differential equations
A. I. Perov
;
I. Yu. Ègle
p. 801-810
Asymptotic behavior of the eigenvalues and eigenfunctions of the Sturm--Liouville operator with a complex-valued polynomial potential.~I
M. V. Fedoryuk
p. 811-816
A certain class of singular problems that can be solved by means of special integral transformations with respect to cylindrical functions
I. T. Efimova
p. 817-822
The method of a small parameter for hyperbolic equations
P. P. Zabreiko
;
Yu. I. Fetisov
p. 823-834
Exponential dichotomy for partial differential equations
S. G. Krein
;
Yu. B. Savchenko
p. 835-844
Problems of the stability of nonlinear Goursat--Darboux systems
V. I. Plotnikov
;
V. I. Sumin
p. 845-856
Certain new connections of control systems with equations of mathmatical physics.~II
E. M. Polishchuk
p. 857-870
The convergence of certain iteration processes to the solution of a boundary value problem
G. F. Aliev
;
Ya. D. Mamedov
p. 871-880
The solution by difference methods of an ill-posed Cauchy problem for a second order abstract differential equation
A. B. Bakushinskii
p. 881-890
The method of lines for quasilinear elliptic equations
A. D. Lyashko
p. 891-901
The existence of a solution for a linear programming
$n$
-person differential game with quadratic cost functions
È. M. Vaisbord
p. 902-905
The asymptotic stability of a certain system with lag
I. V. Gaishun
p. 906-908
Relations between the lengths of subcritical intervals of interpolation problems
Sh. G. Gamidov
;
K. G. Kerimov
p. 909-912
An investigation of the stability of the solutions in a certain nonlinear fourth order system
V. N. Gorbatenko
p. 913-916
The higher approximations in the averaging method
G. S. Larionov
;
R. M. Sunchaliev
p. 917-920
Almost periodic solutions of equations of elliptic type
P. A. Mishnaevskii
p. 921-924
The asymptotic behavior of the Jost function and of the eigenvalues of the Regge problem
A. G. Sergeev
p. 925-927
Solution of second order elliptic equations in weight spaces
G. N. Yakovlev
p. 928-930
Рецензия на книгу Ю.\,А.~Митропольского «Метод усреднения в~нелинейной механике»
N. P. Erugin
p. 931-933
Sommaire du
Fascicule no. 6
Periodic oscillations with large amplitude.~I
Ya. V. Bykov
;
K. A. Kiriy
p. 943-952
The structure of the family of trajectories in the neighborhood of a singular point of a first order differential equation of second degree
N. S. Muminov
p. 953-963
A direct method in linear differential games with general integral constraints
M. S. Nikol'skii
p. 964-971
Analysis of the necessity of the conditions of Smale and Robbin for structural stability for periodic systems of differential equations
V. A. Pliss
p. 972-983
Spectral analysis and the scattering problem for the operator
$-d^2/dx^2+A(x)$
.~I
M. V. Fedoryuk
p. 984-994
The unique solvability of two-point boundary value problems for ordinary differential equations
V. A. Churikov
;
Z. I. Drogovoz
;
A. N. Samborskaya
p. 995-1003
Solution of a boundary value problem of the theory of the diffraction of electromagnetic waves by a circular opening in a plane screen between two media
E. A. Ivanov
;
V. I. Adamovič
p. 1004-1014
On the Gevrey theory for parabolic potentials.~VI
L. I. Kamynin
p. 1015-1025
An effective solution of the Cauchy problem for a system of equations of viscoplastic media
M. L. Rasulov
p. 1026-1035
A theorem of Gauss
K. S. Kuz'min
;
K. V. Temko
;
S. V. Temko
p. 1036-1047
On the theory of the solutions of differential equations with Volterra operator
Ya. D. Mamedov
;
G. M. Novruzov
p. 1048-1057
A certain integral equation of the smooth transition type
Fan Tang Da
p. 1058-1067
On the optimization of discrete systems
L. T. Ashchepkov
;
R. Gabasov
p. 1068-1080
Theory of the controllability of linear discrete systems. II. Ordinary systems
R. Gabasov
;
F. M. Kirillova
;
V. V. Krakhotko
;
S. A. Minyuk
p. 1081-1091
The divergence in
$L_p$
of the Riesz means of spectral expansions
Sh. A. Alimov
;
V. A. Il'in
p. 1092-1094
The limit cycles of the equation
$\ddot x+f(x,\,\dot x)\dot x+g(x)=0$
E. D. Zhitelzeif
p. 1095-1097
Impulse calculus for operators that act in a space of distributions
S. T. Zavalishchin
p. 1098-1100
Construction of controls according to measurements with lag
V. I. Zubov
p. 1101-1102
Continuous dependence of the solution of a countable system of integro-differential equations on a parameter and the averaging method
T. Kadyrbekov
p. 1103-1107
The nonoscillatoriness of the solutions of a second order linear differential equation
I. V. Kamenev
p. 1108-1110
The asymptotic behavior of oscillating solutions of the equation
$\ddot x+f(t,\,x)g(\dot x)=0$
A. G. Katranov
p. 1111-1115
Topological equivalence of certain differential systems
N. N. Ladis
p. 1116-1119
Representation of the Green's function near the boundary and the solvability of generalized boundary value problems for second order elliptic equations
T. V. Lossievskaya
p. 1120-1123
A certain generalization of the Cauchy problem
N. M. Matveev
p. 1124-1125
The existence and uniqueness of
$O$
-curves in normal domains
V. V. Nikonenko
p. 1126-1129
On the question of the asymptotic behavior of the regular solutions of the first and second Painlev\'e equations
A. I. Yablonskii
p. 1130-1132
Sommaire du
Fascicule no. 7
Stability with respect to the first approximation in the case of
$g$
-perturbations
N. E. Bol'shakov
p. 1143-1152
The solutions of the Briot and Bouquet equation with a quasiholomorphic right hand side
È. I. Grudo
p. 1153-1167
The stability of the solutions of differential-recurrence equations. I.~Linear systems
I. P. Dimitrov
p. 1168-1175
Certain properties of trajectories on a surface of genus two
G. M. Erahtina
p. 1176-1186
Spectral analysis and the scattering problem for the operator
$-d^2/dx^2+A(x)$
.~II
M. V. Fedoryuk
p. 1187-1194
The asymptotic representation of the solutions of the equation
$u^{''}=a(t)|u|^n\operatorname{sign}u$
T. A. Chanturiya
p. 1195-1206
The limit cycles of certain differential equations
L. A. Cherkas
;
L. I. Zhilevich
p. 1207-1213
The spectrum of nonselfadjoint ordinary differential operators of higher order
R. A. Shirikyan
p. 1214-1224
The solution by the method of parabolic potentials of a certain heat conduction problem with concentrated thermal capacities
E. A. Baderko
p. 1225-1234
Estimation and stability of the solution of a parabolic equation with retarded argument
T. S. Sulavko
p. 1235-1241
Estimation in the
$L_2$
metric of the derivatives of the solutions of linear nonhomogeneous equations of elliptic type and arbitrary order near the boundary of the domain
A. S. Fokht
p. 1242-1255
The Cauchy problem for abstract Love equations
P. I. Kharitonenko
;
N. J. Yurchuk
p. 1256-1266
Dirichlet series that are composed of the eigenvalues of boundary value problems for an arbitrary second order elliptic differential operator
V. E. Shatalov
p. 1267-1282
Theory of the controllability of linear discrete systems. III.~Systems with aftereffect
R. Gabasov
;
F. M. Kirillova
;
V. V. Krakhotko
;
S. A. Minyuk
p. 1283-1291
Realization of a given motion under arbitrary perturbation by an impulse correction (difference schemes)
S. Y. Drozdenko
;
S. T. Zavalishchin
p. 1292-1301
A remark on a certain theorem of Wong
N. S. Borodin
;
K. S. Mamii
p. 1302-1304
Solution of an infinite system of second order ordinary differential equations of a special form
M. V. Butrov
p. 1305-1306
On the solution of the problem of the diffraction of a dipole field by a circular aperture in a plane screen in the presence of a coaxial circular disc
E. A. Ivanov
p. 1307-1308
The limit cycles of the Rayleigh equation
E. D. Zhitelzeif
p. 1309-1311
Stabilization of the motion of certain nonlinear systems with respect to linear approximation
N. F. Kirichenko
p. 1312-1315
Improvement of the conditions for the stability of difference schemes of increased accuracy for the heat equation by the ``vanishing viscosity'' method
A. F. Klement'ev
p. 1316-1319
A linearized method of determining the general solution of a finite equation
V. A. Ptichkin
p. 1320-1322
Certain sufficient criteria for the reducibility of second order linear systems
L. V. Trigubovich
p. 1323-1325
On the construction of a multiperiodic solution of a certain system of partial differential equations with a common principal part
D. U. Umbetzhanov
p. 1326-1329
Рецензия на книгу В.\,М.~Волосова, Б.\,И.~Моргунова «Метод осреднения в~теории нелинейных
E. A. Grebenikov
p. 1330-1331
Поправки к~статье: ``Об устойчивости в целом одной системы
$n$
~нелинейных дифференциальных
L. I. Burganskaya
Letter to the editors
P. K. Senatorov
Sommaire du
Fascicule no. 8
A generalized Bohr--Neugebauer theorem
R. Boles Basit
;
L. Tsend
p. 1343-1348
The construction of a set of systems of differential equations that have prescribed curves as their limit cycles
T. F. Bulatskaya
p. 1349-1356
Inverse problems of the dynamics of a heavy solid body with one fixed point
A. S. Galiullin
p. 1357-1362
A certain formulation of linear pursuit problems
P. B. Gusyatnikov
p. 1363-1371
The stability of the solutions of differential-recurrence equations. II.~Stability under linear approximation
Y. P. Dimitrov
p. 1372-1376
Uniqueness of the solution of boundary value problems for systems of two first order differential equations
Yu. A. Klokov
p. 1377-1385
Certain problems of the optimal control of the intensity of random perturbations
V. B. Kolmanovskii
p. 1386-1395
The solutions of differential equations with singular initial conditions
S. G. Kondratenya
;
E. G. Prolisko
;
T. I. Shved
p. 1396-1403
On the theory of Painlev\'e's sixth equation
N. A. Lukashevich
p. 1404-1408
On the question of algebraic movable singularities
A. M. Markina
;
A. I. Yablonskii
p. 1409-1415
Simultaneous accessibility of the central exponents of two-dimensional linear systems
Т. Е. Nuzhdova
p. 1416-1422
A model example of the pursuit game problem with incomplete information.~II
V. S. Patsko
p. 1423-1434
Conditions for the center for certain equations of the form
$yy'=P(x)+Q(x)y+R(x)y^2$
L. A. Cherkas
p. 1435-1439
The behavior of the solutions of a quasi-linear parabolic equation in divergence form as
$t\rightarrow \infty $
Yu. P. Gor'kov
p. 1440-1446
Existence and uniqueness of the generalized solution of a certain nonlinear problem in an infinite domain
V. R. Portnov
p. 1447-1451
Weighted spaces. The imbedding theorem
V. N. Sedov
p. 1452-1462
Exponential decrease at infinity of certain solutions of elliptic equations
G. N. Finozhenok
p. 1463-1472
Conditions for the complete continuity of integral operators with fixed singularities in the space of continuous functions
V. G. Ogandzhanyan
p. 1473-1485
The construction of
$s$
-adjoints to integro-differential operators
I. V. Parkhimovich
p. 1486-1493
The source function of the Laplace operator for a domain that is bounded by a hyperboloid of rotation
A. M. Glyuzman
;
F. K. Minikeeva
p. 1494-1497
Necessary optimality conditions for systems that are not solved with respect to the derivative
M. L. Gusakova
p. 1498-1500
The connection between the Bellman function and matrix impulses
A. I. Kalinin
p. 1501-1504
Existence and uniqueness of the periodic solution of a relay system with hysteresis
A. M. Kamachkin
p. 1505-1506
The identifiability of linear nonstationary systems
T. B. Kopeikina
p. 1507-1510
Certain special transformations of matrix differential equations of Riccati type
V. N. Laptinskii
;
V. V. Pugin
p. 1511-1514
Systems of differential equations with selective switching
T. È. Mozhdzher
p. 1515-1516
A remark on the theory of integral equations
A. G. Ramm
p. 1517-1520
The Cauchy problem for a certain class of differential equations
N. A. Sidorov
p. 1521-1524
Sommaire du
Fascicule no. 9
Inverse problems of dynamics and problems of control of the motions of material systems
A. S. Galiullin
p. 1535-1541
The Cauchy problem for differential equations with retarded argument
N. V. Azbelev
;
L. F. Rakhmatullina
p. 1542-1552
Necessary conditions for the extremum of a function
V. G. Boltyanskii
p. 1553-1559
On the question of solutions that are close to continuous ones in a system of conditionally stable type with a small parameter multiplying the derivatives
A. B. Vasil'eva
p. 1560-1568
Positive cycles in a system with a limiting factor
Yu. I. Gil'derman
;
K. N. Kudrina
p. 1569-1576
Nonstability of the exponent of exponential separatedness of the solutions of a system of differential equations and nonsymmetry of the relation of almost reducibility of systems of differential equations with integral separatedness of the solutions
S. A. Grishin
p. 1577-1586
Dynamical systems with aftereffect
V. K. Dubolar'
p. 1587-1597
A certain method of solving linear differential equations of order
$n\leq +\infty $
A. A. Tunda
p. 1598-1608
Fractional powers of elliptic operators and isomorphism of classes of differentiable functions
Sh. A. Alimov
p. 1609-1626
The branchings of the solutions of a certain class of nonlinear partial differential equations
Ya. V. Bykov
;
K. A. Kiriy
p. 1627-1638
Well-posed formulation of a mixed problem for the nonstationary transport equation
Yu. A. Kuznetsov
;
S. F. Morozov
p. 1639-1648
The fundamental solutions of a certain class of elliptic-parabolic second order equations
L. P. Kuptsov
p. 1649-1660
Difference methods of solving ill-posed Cauchy problems for evolution equations in a complex
$B$
-space
A. B. Bakushinskii
p. 1661-1668
The method of successive approximations in connection with second order differential equations
Ya. B. Kadymov
;
G. B. Abdulov
p. 1669-1673
Factorized Rothe schemes for quasilinear parabolic equations
A. D. Lyashko
p. 1674-1681
Investigation of the qualitative behavior of the trajectories of a certain system of differential equations
V. T. Borukhov
p. 1682-1683
The stability of relay systems
A. Kh. Gelig
p. 1684-1686
On the theory of optimal processes in linear systems
S. Daiovich
p. 1687-1690
Limit cycles in the case of the center
M. V. Dolov
p. 1691-1692
The stability of multicomponent periodic motions
V. I. Zubov
p. 1693-1694
The {\v C}aplygin problem for a certain first order differential equation
G. S. Krechetov
p. 1695-1697
Regularization of equations with a closed operator
O. A. Liskovets
p. 1698-1700
The boundedness and unboundedness of the solutions of a second order ordinary differential equation
S. N. Olekhnik
p. 1701-1704
The stability of certain systems with transformed argument
V. P. Skripnik
p. 1705-1708
Investigation of the trajectories of a certain dynamical system
V. F. Filiptsov
p. 1709-1712
Sommaire du
Fascicule no. 10
Representations of the
$TO$
-solutions of the equation
$X(x,y)dy=Y(x,y)dx$
A. F. Andreev
;
G. I. Gleizer
p. 1723-1737
A condition for the completeness of the system of root subspaces of a Sturm--Liouville type operator in Hilbert space
E. A. Begovatov
p. 1738-1744
Criteria for the optimality of discrete processes
V. G. Boltyanskii
p. 1745-1752
Sufficient conditions for the existence of solutions with stationary critical singular points for first order equations
N. S. Kolesnikova
;
N. A. Lukashevich
p. 1753-1760
The construction of the equations of a programmed motion having extremal properties
E. S. Lehnitsky
p. 1761-1766
A certain differential game
A. V. Mezentsev
p. 1767-1771
The existence of a locally invariant surface for certain strongly nonlinear systems of differential equations
V. N. Monakov
p. 1772-1778
On the analytic theory of the equation
$z^2u^{''}-f(z)u=0$
.~I, II
V. K. Polishchuk
p. 1779-1790
Coefficient criteria for the existence of separatrix cycles for a certain quadratic equation
I. G. Rozet
p. 1791-1796
A certain differential pursuit game with information lag in the presence of integral constraints
B. N. Sokolov
p. 1797-1804
Diffraction of the radiation field of a horizontal dipole by a circular opening in a plane screen in the presence of a circular disc that is coaxial to it
A. Karpuk
p. 1805-1815
Branching of the solutions of the equation
$\Delta u+\lambda u=f(u)$
on the sphere
B. V. Loginov
p. 1816-1824
Expansion of functions belonging to
$L_p$
in the eigenfunctions of certain elliptic operators
N. Mahmetzhanov
p. 1825-1834
Weight spaces. Boundary conditions
V. N. Sedov
p. 1835-1847
A representation of the analytic solutions of certain matrix-valued partial differential equations
V. Kh. Froim
p. 1848-1856
On necessary conditions for high order optimality for singular controls of discrete systems
L. Ashchepkov
p. 1857-1867
The space-time version of the method of straight lines, and its realization
F. V. Lubyshev
p. 1868-1875
On the existence of periodic solutions to nonlinear systems
N. G. Bulgakov
p. 1876-1877
On the question of the estimation of domains of attraction
I. V. Gaishun
p. 1878-1879
The singular points of the Darboux differential equation
N. N. Dedok
p. 1880-1881
The almost differentiability with respect to parameters of the solutions of a system of first order ordinary differential equations
N. A. Ivanov
p. 1882-1885
The solutions of a certain differential system in a complex domain
S. G. Kondratenya
p. 1886-1888
On the question of the stability of the solutions of linear systems of differential equations with lag
N. I. Krupnova
p. 1889-1891
An estimate of the sector of absolute stability of a certain third order nonlinear equation
S. N. Kustarov
p. 1892-1893
The boundedness and unboundedness of the solutions of certain systems of second order equations
S. N. Olekhnik
p. 1894-1897
A certain class of integrable equations with limit cycles
G. E. Popov
p. 1898-1900
Global topological equivalence of nonlinear flows
A. A. Reinfeld
p. 1901-1903
Solvability in the large of the first boundary value problem for a certain class of quasilinear one-dimensional parabolic equations
Yu. T. Sil'chenko
;
P. E. Sobolevskii
p. 1904-1905
A certain oblique derivative problem for harmonic functions of three independent variables
M. S. Shneerson
;
N. F. Kudryashova
p. 1906-1908
Sommaire du
Fascicule no. 11
The nonstationary singularities of a certain class of nonlinear equations
B. P. Bogoslovskii
p. 1919-1926
Discrete maximum principle (method of local sections)
V. G. Boltyanskii
p. 1927-1935
On the question of the existence of solutions of differential equations with deviating argument of neutral type
L. A. Zhivotovskii
p. 1936-1942
Topological equivalence of linear systems of Pfaffian equations in neighborhoods of their one-dimensional closed characteristics
I. P. Karklin'
p. 1943-1949
On the theory of invariance of dynamical systems
V. P. Kirlitsa
p. 1950-1956
On the question of the existence of solutions of differential equations with deviating argument
N. P. Kovalevskiǐ
p. 1957-1962
The instability of the solutions of linear systems of differential equations with lag
N. I. Krupnova
;
S. N. Shimanov
p. 1963-1968
The boundedness of infinitely continuable solutions of a system of two equations with quadratic right hand sides, and the set of characteristic Ljapunov exponents of the solutions of this system
A. A. Levakov
;
È. S. Shpigelman
p. 1969-1976
Convergence of the small parameter method in the construction of periodic solutions of ordinary differential equations of neutral type with small lag
D. K. Lika
;
Yu. A. Ryabov
p. 1977-1987
\"Uber die Approximation der L\"osungen von linearen Gleichungen im Banachraum
A. A. Martynyuk
p. 1988-1993
Existence of optimal controls in a problem with a free right-hand end point
B. Mordukhovich
p. 1994-1998
On the analytic theory of the equation
$z^2u^{''}-f(z)u=0$
.~I, II
V. K. Polishchuk
p. 1999-2011
A certain class of almost periodic motions in systems with pulses
V. F. Rozhko
p. 2012-2022
The direct and inverse boundary value problems for the heat equation
V. T. Ivanov
;
G. P. Smirnov
;
F. V. Lubyshev
p. 2023-2028
A certain system of quasilinear parabolic equations with splitting principal parts
Ya. I. Kanel'
p. 2029-2037
Semigroups of the classes
$A^{n,\alpha}$
and the abstract Cauchy problem
S. M. Ponomarev
p. 2038-2047
Non-regular differential operators. Elliptic equations
V. N. Sedov
p. 2048-2061
Poisson stable solutions of linear systems of difference equations
I. M. Shtefanitse
p. 2062-2072
Linear differential equations that are invariant with respect to a finite group of linear-fractional substitutions
E. P. Belan
;
A. M. Eyshinsky
p. 2073-2075
Some remarks on differential equations of the form
$y^{''}+a_0(x)y=\varphi(x)y^\alpha$
L. M. Berkovich
;
N. Kh. Rozov
p. 2076-2079
On the question of the integration in
$K'$
of differential equations with a generalized {\v C}eby{\v s}ev operator
I. M. Karasev
;
S. K. Kumykova
p. 2080-2081
A certain class of third order differential equations with stationary critical singular points
N. S. Kolesnikova
;
N. A. Lukashevich
p. 2082-2086
Selfoscillations in a generator with distributed parameters
Yu. S. Kolesov
;
V. I. Neprintsev
p. 2087-2089
Perturbations that preserve the property of stability
G. S. Krechetov
p. 2090-2092
The stability in the large of nonlinear control systems in critical cases
S. N. Kustarov
p. 2093-2095
An analogue of Perron's theorem for strongly nonlinear systems of differential equations
V. N. Monakov
p. 2096-2097
The stabilization of the solutions of second order parabolic equations with rapidly increasing coefficients
F. O. Porper
p. 2098-2101
A certain class of solutions of quasilinear systems of equations
A. D. Sidorenko
p. 2102-2105
Рецензия на книгу Е.\,А.~Гребеникова и Ю.\,А.~Рябова «Новые качественные методы в~небесной механике»
V. M. Volosov
p. 2106-2107
Рецензия на книгу И.\,3.~Штокало «Операционное исчисление (обобщения и приложения)»
N. P. Erugin
Sommaire du
Fascicule no. 12
The development of national mathematics (on the fiftieth anniversary of Soviet education)
A. N. Bogolyubov
;
I. Z. Shtokalo
p. 2119-2129
The inverse problem of spectral analysis for a certain class of problems with a parameter in the boundary conditions
E. A. Baranova
p. 2130-2139
The differentiability of the cost of a differential approach game
V. D. Batukhtin
p. 2140-2148
The convexity of spheres of attainability
V. I. Blagodatskikh
p. 2149-2155
A certain theorem of Erugin
I. M. Vul'pe
p. 2156-2162
Continuability of the solutions of functional equations with heredity
L. A. Zhivotovskii
p. 2163-2166
The stability and instability of Levinson's center
V. V. Zhikov
p. 2167-2170
Boundary value problems for a nonlinear differential equation with deviating argument of neutral type
G. A. Kamenskii
;
A. D. Myshkis
p. 2171-2179
A certain boundary value problem on a semi-infinite interval
T. K. Kravchenko
;
A. I. Yablonskii
p. 2180-2186
A metric problem for Frommer's first discrimination problem
R. S. Levitin
p. 2187-2196
Linear dependence of functions along the solutions of systems of differential equations, and systems with algebraic trajectories
V. I. Mironenko
p. 2197-2204
A criterion for the uniqueness of the trajectory that enters a stationary point in a prescribed direction
L. É. Reiziņš
;
L. A. Bieza
p. 2205-2210
The problem of an algebraic integral in the case of the center
K. S. Sibirskii
p. 2211-2214
The modulus of the Fourier exponents of almost periodic solutions
V. M. Cheresiz
p. 2215-2219
The continuation of generalized solutions of systems of differential equations from a convex domain
Sh. A. Akhmedov
p. 2220-2224
Solution of one-dimensional linear mixed problems for a system with coefficients constant in time
M. L. Rasulov
p. 2225-2234
A certain problem of optimal control of nonstationary transport processes
S. F. Morozov
;
V. I. Sumin
p. 2235-2243
On transversality conditions in the problem of optimization with singular control
S. Ya. Gorokhovik
;
N. V. Tarasenko
p. 2244-2247
Application of generalized Ljapunov functions to the study of limit cycles on the plane
V. P. Zakharov
;
Yu. V. Malyshev
p. 2248-2250
The local solvability of a boundary value problem for ordinary differential equations
V. I. Zubov
A class of third order differential equations with stationary critical singular points
N. S. Kolesnikova
p. 2252-2254
A reduction principle for certain strongly nonlinear systems of differential equations
V. N. Monakov
p. 2255-2256
The limit cycles of the equation
$u(x+1)du=(-x+ax^2+bxu+cu+du^2)dx$
G. S. Rychkov
p. 2257-2259
A quasilinearization method for ordinary differential equations with deviating argument
È. Ya. Sentebova
p. 2260-2263
Control of the rotational motion of a solid body
E. Ya. Smirnov
p. 2264-2266
An effective solution of a certain two-dimensional integral equation with a homogeneous kernel, and its applications
Z. D. Usmanov
p. 2267-2270
The absence of limit cycles of a certain differential equation
L. A. Cherkas
;
L. I. Zhilevich
p. 2271-2273
On the theory of the first approximation of discrete nonautonomous stabilization systems
A. G. Cheremensky
p. 2274-2276
A remark on the boundedness of the solutions of the differential equation
$A_0(t)x^{''}+A_1(t)x'+A_2(t)f(x)=p(t)$
P. Sholtes
p. 2277-2280
Vladimir Ivanovi{\v{c}} Krylov (on his seventieth birthday)
p. 2281-2286