Parcourir par
Revues
Séminaires
Livres
Congrès
Sources
Geodesic
Parcourir par
Revues
Séminaires
Livres
Congrès
Sources
Differencialʹnye uravneniâ
Tome 6 (1970)
Précédent
Suivant
Sommaire du
Fascicule no. 1
On the theory of equations of mixed type
A. V. Bitsadze
p. 3-6
A lower bound of the sum of the squares of the fundamental functions, and of the number of the fundamental values, for an arbitrary
$FSF$
of Laplace's operator
V. A. Il'in
p. 7-16
Certain models connected with Euler's equations
A. A. Dezin
p. 17-26
Inverse problems of generalized magnetic potentials
A. I. Prilepko
p. 27-38
Exterior contact inverse problems of generalized magnetic potentials of variable densities
A. I. Prilepko
p. 39-49
Certain estimates of the solutions of nonlinear equations of mixed type
D. K. Gvazava
p. 50-55
The principle of limiting amplitude for the Cauchy-Poisson problem in a strip. I
E. K. Isakova
p. 56-71
The Dirichlet problem for a certain class of elliptic systems of second order differential equations
R. S. Saks
p. 72-85
Normal solvability of the Dirichlet problem for a certain class of systems of elliptic type
Nguyen Thya Hop
p. 86-98
A boundary value problem for equations of mixed type with two intersecting curves of degeneracy
M. M. Zainulabidov
p. 99-108
A certain boundary value problem for vortical and potential flows of an ideal fluid in the axisymmetric case
I. I. Vainshtein
p. 109-122
The critical points of the Green's function of Laplace's equation
A. Yanushauskas
p. 123-128
Conservation laws and a priori estimates for certain nonlinear parabolic equations
S. I. Pokhozhaev
p. 129-136
The Cauchy problem for the nonlinear Schr\"odinger equation
A. V. Zhiber
;
A. B. Shabat
p. 137-146
The Harnack inequality for generalized solutions of second order nonlinear
$(k,\,0)$
-elliptic equations
L. P. Kuptsov
p. 147-156
Weak solutions of second order quasilinear elliptic systems
G. N. Yakovlev
p. 157-163
The
$L_p$
summability of eigenfunction series
Sh. A. Alimov
p. 164-171
The summability of Fourier series in a fundamental function system of Laplace's operator, in an arbitrary
$N$
-dimensional domain (
$N\ge4$
), by the
$T_s(\alpha\lambda_k)$
method
G. I. Furletov
p. 172-189
A uniqueness condition of the Dirichlet problem for an equation of mixed type in a cylindrical domain
A. M. Nakhushev
p. 190-191
Methods of stating well-posed problems for second order linear hyperbolic equations on the plane
A. M. Nakhushev
p. 192-195
Certain problems of the type of the Cauchy problem for a certain degenerate equation
V. A. Eleev
p. 196-199
A certain mixed problem for the Tricomi equation
V. I. Paškovskii
p. 200-203
On the question of asymptotic stability of solutions of parabolic equations
È. N. Rudenko
p. 204-208
The smoothness of solutions of the first boundary value problem for a degenerate elliptic equation
V. N. Vragov
p. 209-212
Sommaire du
Fascicule no. 2
Existence, uniqueness and convergence of successive approximations for nonlinear integral equations with deviating argument
N. V. Azbelev
;
L. F. Rakhmatullina
;
A. I. Chigirev
p. 223-229
Solution of the Ljapunov stability problem by the first approximation
R. È. Vinograd
;
N. A. Izobov
p. 230-242
A reduction to block-triangle form, and necessary and sufficient conditions for the stability of the characteristic exponents of a linear system of differential equations
B. F. Bylov
p. 243-252
The loss of reducibility of systems with quasiperiodic coefficients due to an insufficiently rapid decrease of the Fourier coefficients or to the nonalgebraic nature of the frequency basis
I. N. Blinov
p. 253-259
The study of singular controls by means of a variation packet
R. Gabasov
;
V. A. Srochko
p. 260-275
Several remarks on the uniqueness of the solution of boundary value problems
Yu. A. Klokov
p. 276-282
On the question of the uniqueness of the solutions of integral equations with distributed lag
A. I. Logunov
p. 283-288
The asymptotic solutions of certain linear differential equations in a Banach space that contain an unbounded operator
L. A. Groza
p. 289-297
The existence and uniqueness of the solutions of a multi-point de la Vall\'ee Poussin problem for nonlinear differential equations
G. A. Bessmertnykh
p. 298-310
Theorems on difference inequalities for a multi-point boundary value problem that differs from the de la Vall\'ee Poussin problem
G. V. Gusel'nikova
p. 311-319
The Cauchy matrix of a linear system of ordinary differential equations
M. I. Urbanovich
p. 320-327
A system of differential equations with an algebraic curve of third order as a particular integral
L. S. Lavrinovich
p. 328-334
Asymptotic relations between the solutions of linear homogeneous differential and integro-differential equations
Yu. A. Ved'
;
S. S. Bayalieva
p. 335-342
A mixed problem for certain nonstationary equations with discontinuous coefficients
V. I. Korzyuk
p. 343-357
The construction of solvable extensions in a parallelepiped for linear differential operators with constant coefficients
A. Kh. Mamyan
p. 358-370
A bilateral estimate of the norms of the solutions of a certain class of nonlinear systems
V. P. Rudakov
p. 371-372
The continuity of the generalized Bellman function
N. N. Petrov
p. 373-374
Differential equations with a generalized {\v C}eby{\v s}ev operator in
$K'$
I. M. Karasev
p. 375-376
Conditions for the existence of periodic trajectories in dynamic systems with cylindrical phase space
E. A. Nazarov
p. 377-380
Quadratic integrals of linear systems of differential equations
N. A. Zboychik
p. 381-384
Asymptotic equilibrium
T. H. Nguyên
p. 385-386
A connection between two necessary conditions for the optimality of singular controls
V. A. Srochko
p. 387-389
Рецензия на книгу Н.\,Н.~Боголюбова, Ю.\,А.~Митропольского, А.\,М.~Самойленко «Метод ускоренной сходимости в~нелинейной механике»
N. P. Erugin
p. 390-391
Второй семинар-симпозиум по применению метода функции Ляпунова в~энергетике
M. A. Tagirov
Sommaire du
Fascicule no. 3
The reducibility of multifrequency systems of differential equations with summable series
E. A. Grebenikov
;
F. K. Vaskan
p. 403-411
Optimal realization of a given process by a discontinuous exit signal of a transmission system
S. T. Zavalishchin
p. 412-419
The stabilization of linear systems with stochastic properties
I. Ya. Kats
p. 420-424
On the theory of Painlev\'e's equations
N. A. Lukashevich
p. 425-430
Conditional stability on a finite interval of time
S. S. Belyavsky
p. 431-434
Certain boundary value problems with conditions at infinity
È. G. Khalikov
p. 435-442
Almost differentiability, with respect to parameters, of the solutions of a certain differential equation
N. A. Ivanov
p. 443-453
Sufficient conditions for the absence of integral cycles for dynamical systems on manifolds
V. S. Medvedev
p. 454-466
Behavior of solutions in the large of a certain automatic control system
M. A. Balitinov
p. 467-474
An application of Galerkin's method to the integration of systems of nonlinear ordinary equations
È. I. Kucherenko
p. 475-482
Stokes multipliers for various systems of linear differential equations. I
V. R. Smilyanskii
p. 483-496
The expansion in principal functions of a nonselfadjoint differential operator of order
$2n$
with spectral singularities
G. M. Kesel'man
;
V. È. Lyantse
p. 497-512
Selfadjointness of operators that are generated by the Schr\"odinger equation and by inhomogeneous boundary conditions on a part of the boundary
V. V. Barkovskii
p. 513-524
The representability of boundary value problems in the form of systems of section-problems
Yu. A. Dement'ev
p. 525-530
A solution of the stationary problem of the theory of heat conductivity for wedge-shaped bodies with a boundary condition of the third kind
B. A. Vasil'ev
p. 531-537
The summability of Fourier series for functions from
$L_p$
in terms of eigenfunctions
Sh. A. Alimov
p. 538-547
A certain method of constructing the solution of an integral equation of the first kind
S. I. Mel'nik
p. 548-551
The relative distribution of the solutions of two stationary linear differential systems
Yu. S. Bogdanov
;
A. F. Naumovich
p. 552-554
On the generalization of a certain theorem of N. N. Bogoljubov on averaging
Hoang Van Tao
p. 555-557
Parametric functions of several matrices and of a countable set of matrices
V. N. Laptinskii
p. 558-560
Theorems on the estimation of the invariant
$A_1$
of the characteristic equation for an
$n$
th order linear homogeneous
G. A. Los'
p. 561-564
A solution of the stability problem for a system of linear differential equations with
$\pi $
-periodic coefficients by means of the
$\pi /4$
-characteristic equation
G. A. Los'
p. 565-568
The method of differentiation with respect to a parameter as applied to the problem of determining periodic solutions of differential equations
L. N. Karmov
p. 569-570
Sommaire du
Fascicule no. 4
A differential guidance game
N. N. Krasovskii
;
A. I. Subbotin
p. 579-591
Some unsolved problems of automatic control theory
A. M. Letov
p. 592-615
Linear equations with deviating argument
N. V. Azbelev
;
L. F. Rakhmatullina
p. 616-628
On the theory of the existence of solutions of boundary value problems for systems of differential equations
V. I. Zubov
p. 629-631
Construction of program motions in linear control systems
V. I. Zubov
p. 632-633
A certain dynamical problem of mechanics without uniqueness
M. A. Krasnosel'skii
;
A. D. Myshkis
p. 634-643
An example of nonlinear synthesis
V. G. Boltyanskii
p. 644-649
Differential and difference systems of equations with a small parameter in the case when the unperturbed (degenerate) system is situated on the spectrum
V. F. Butuzov
;
A. B. Vasil'eva
p. 650-664
On the theory of necessary conditions for higher order optimality
R. Gabasov
;
F. M. Kirillova
p. 665-676
The local diagram of an equilibrium state
A. F. Andreev
p. 677-686
A comparison of the solutions of two differential equations
A. N. Erugin
The Cauchy problem for the equation of vibration of a plate
M. L. Rasulov
p. 688-691
A theory of the functional equations of Malju{\v z}inec. I. The homogeneous functional equations. General properties of the solutions. Special cases
A. A. Tuzhilin
p. 692-704
On mixed problems for certain semihyperbolic equations
N. I. Brisch
p. 705-720
The principle of limiting amplitude for the Cauchy--Poisson problem.~II
E. K. Isakova
p. 721-730
Periodic solutions of nonlinear second order parabolic equations
S. N. Kruzhkov
p. 731-740
The rate of stabilization of the solution of a parabolic equation in an unbounded domain
A. K. Gushchin
p. 741-761
Sommaire du
Fascicule no. 5
A certain case of generation of limit cycles on a plane
I. S. Kukles
;
I. G. Rozet
p. 771-778
The absence of limit cycles for a certain differential equation that has a structurally unstable focus
L. A. Cherkas
p. 779-783
A proof of the existence of a value for a pursuit game with restricted time
N. N. Petrov
p. 784-797
Integral manifolds for nonlinear differential equations with retarded argument
V. I. Fodchuk
p. 798-808
Multidimensional transmission systems of generalized processes.~I, II
S. T. Zavalishchin
p. 809-816
The dissipativity of a certain nonlinear differential equation
N. N. Kushkov
p. 817-826
On the theory of representations of integral matrices of linear differential systems
V. N. Laptinskii
p. 827-837
The asymptotics of the eigenvalues of a selfadjoint second order singular operator
G. V. Zhdanova
p. 838-851
The stability in the large of a certain control system
I. V. Gaishun
p. 852-860
The Cauchy problem for an
$n{\rm th}$
order linear equation with a small parameter multiplying the highest derivative in the case of singular initial data
A. B. Zimin
p. 861-870
A certain iteration process for the solution of ordinary differential equations
O. Ashirov
;
Ya. D. Mamedov
p. 871-876
Boundary value problems for natural differential operators on manifolds
N. T. Pham
p. 877-888
An investigation of certain classes of second order quasilinear elliptic equations.~II, III
A. D. Dzhabrailov
p. 889-899
A solution of the first boundary value problem for Lam\'e's equation by means of finite difference operators of an invariant form
I. B. Kozhahmedov
p. 900-912
The almost periodic solutions of a certain class of partial differential equations with small parameters
D. U. Umbetzhanov
p. 913-916
A certain exponential estimate of the solutions of differential equations with lag
M. I. Artem'ev
p. 917-920
On the solution of two ordinary differential equations
R. S. Kuznetskiy
p. 921-923
The method of lines for a conjugacy problem of a parabolic and a hyperbolic equation
V. N. Abrashin
p. 924-928
An investigation of the stability of the numerical integration of systems of ordinary differential equations that arise in the application of the multilayer method of lines
A. F. Klement'ev
p. 929-932
Межвузовская конференция по качественной теории дифференциальных уравнений в~Рязани
I. P. Makarov
p. 933-934
Sommaire du
Fascicule no. 6
The simultaneous stability of the characteristic exponents of mutually adjoint systems of linear differential equations
B. F. Bylov
p. 943-947
The asymptotic representation of the solutions of nonlinear second order differential equations
T. A. Chanturiya
p. 948-961
Similarity of the solutions of a perturbed and an unperturbed system with a divided-diagonal matrix
È. A. Tikhonova
p. 962-974
Asymptotic integration of certain classes of nonautonomous systems of differential equations by means of differential invariants
I. A. Pavlyuk
p. 975-988
Integrals of a linear equation of order
$m+n$
with a small parameter multiplying the derivatives
P. E. Tovstik
p. 989-999
Construction in finite form of the solutions of certain classes of nonautonomous systems of ordinary differential equations
L. D. Vishnevskii
p. 1000-1006
Synthesis of optimal control for a second order nonlinear system of special form
A. G. Pashkov
p. 1007-1016
A certain class of systems of two differential equations
L. S. Lavrinovich
p. 1017-1025
Certain iteration processes for the solution of differential equations in a Banach space
O. Ashirov
p. 1026-1033
On the question of constructing coordinate sequences
V. L. Rvachev
p. 1034-1047
A theory of the functional equations of Malju{\v z}inec. II. The theory of infinite Barnes products. General solutions of homogeneous functional equations of Malju{\v z}inec. Various representations of the fundamental solutions
A. A. Tuzhilin
p. 1048-1063
The behavior of the solution of a boundary value problem for a second order quasilinear parabolic equation as
$t\rightarrow \infty $
Yu. P. Gor'kov
p. 1064-1072
The behavior on the boundary of the solutions of a degenerate second order elliptic equation with discontinuous coefficients
A. T. Abbasov
p. 1073-1085
The equivalence of the
$T_s(\alpha,\lambda_k)$
methods,
$s>0$
, the Ces\`aro and Riesz methods of arbitrary positive order, and Abel's method, for Fourier series in fundamental function systems of Laplace's operator
G. I. Furletov
p. 1086-1098
A certain modification of Fourier's method for a certain class of polyharmonic equations of parabolic type with coefficients that are dependent on the time
T. L. Anikst
p. 1099-1111
The asymptotic behavior of the solutions of a renewal equation
Z. B. Tsalyuk
p. 1112-1114
A remark on the asymptotic behavior of the solutions of the equation
$u''+a(t)u=0$
I. T. Kiguradze
;
T. A. Chanturiya
p. 1115-1117
Partial averaging in systems of ordinary differential equations
A. N. Filatov
p. 1118-1120
A certain approximate method of solving an abstract parabolic equation
S. Ashirov
p. 1121-1124
Three variants of averaging in integro-differential equations
G. S. Larionov
p. 1125-1126
A test for the existence of a periodic solution of the Li\'enard equation
E. D. Zhitelzeif
p. 1127-1130
The asymptotic behavior of the solutions of nonlinear systems of differential equations
G. A. Leonov
p. 1131-1132
Sommaire du
Fascicule no. 7
A generalized principle of localization for the Riesz means of a Fourier series in an arbitrary fundamental system of functions of the Laplace operator with discrete spectrum
V. A. Il'in
p. 1143-1158
A generalized principle of localization for the Riesz means that correspond to an arbitrary selfadjoint nonnegative extension of the Laplace operator
V. A. Il'in
p. 1159-1169
Some tests for the absence or uniqueness of limit cycles
L. A. Cherkas
;
L. I. Zhilevich
p. 1170-1178
Multidimensional transmission systems of generalized processes.~I, II
S. T. Zavalishchin
p. 1179-1187
A certain method of investigating separatrices
N. I. Avdonin
p. 1188-1199
The essential singularities of the solutions of certain systems of differential equations
S. G. Kondratenya
p. 1200-1206
The Stokes multipliers for different systems of differential equations. II
V. R. Smilyanskii
p. 1207-1210
A certain application of qualitative methods in the theory of the stability of nonlinear systems
I. V. Gaishun
p. 1211-1220
Similarity and homeomorphism of a perturbed and an unperturbed system with block-triangular matrix
È. A. Tikhonova
p. 1221-1229
Stability in a product of spaces
I. I. Matveeva
p. 1230-1234
The stability of linear equations of neutral type
V. B. Kolmanovskii
p. 1235-1246
Differential equations with deviating argument dependent on the derivative of the solution, considered in a Banach space with a cone
L. A. Zhivotovskii
p. 1247-1256
Oscillations of linear systems with autonomous self-regulating lag
R. E. Ginzburg
p. 1257-1264
Asymptotics of the width of lacunae in the spectrum of a Sturm--Liouville operator with periodic analytic potential
S. G. Simonyan
p. 1265-1272
Regularization of equations with a closed linear operator
O. A. Liskovets
p. 1273-1278
An investigation of certain classes of second order quasilinear elliptic equations. II, III
A. D. Dzhabrailov
p. 1279-1288
The principle of limiting amplitude for the Cauchy--Poisson problem.~III
E. K. Isakova
p. 1289-1297
Remarks on the Kupradze--Aleksidze method
A. B. Bakushinskii
p. 1298-1301
Estimates of weak solutions in
$C_{l+\alpha(r)}$
of systems that are elliptic in the sense of Douglis and Nirenberg
M. V. Ivanovich
p. 1302-1307
The estimation of the domains of nonnegativity of the Cauchy function and its derivatives up to order
$n-1$
for an
$n$
th order ordinary linear differential equation
N. Z. Gabbasov
;
E. S. Chichkin
p. 1308-1310
The stability in the large of the zero solution of certain nonlinear third order differential equations
L. I. Burganskaya
p. 1311-1313
The stability in the large of the zero solution of certain nonlinear fourth order differential equations
L. I. Burganskaya
p. 1314-1317
Formulae for the computation of the index of a singular point of the equation
$y'=\frac{P_3(x,y)}{Q_3(x,y)}$
in terms
P. T. Cherevichny
p. 1318-1319
Partial differential equations with involutions
I. Ya. Viner
p. 1320-1322
Nearly periodic solutions of a system of Volterra equations
V. R. Vinokurov
p. 1323-1324
The approximate solution of nonlinear integro-difference equations by the method of averaging functional corrections
M. M. Gal'
p. 1325-1328
An integral estimate of the derivatives of a harmonic function of an
$N$
-dimensional region in the
$L_p$
metric, and some
A. S. Fokht
p. 1329-1332
Sommaire du
Fascicule no. 8
On the problem of constructing systems of differential equations
A. S. Galiullin
p. 1343-1348
Variational and boundary value problems with deviating argument
G. A. Kamenskii
p. 1349-1358
Relative controllability of linear stationary systems with deviating argument of neutral type
R. Gabasov
;
V. V. Krakhotko
p. 1359-1365
The fundamental system of solutions of an ordinary linear differential equation with a small parameter
B. G. Razumeiko
p. 1366-1377
Canonical integrals and singular cycles
M. V. Dolov
p. 1378-1383
Necessary and sufficient conditions for the existence of a solution of the two-point boundary value problem for a second order nonlinear ordinary differential equation
A. Ya. Lepin
p. 1384-1388
On the question of almost periodic solutions of equations with deviating argument
L. M. Artyushenko
p. 1389-1394
The recurrent solutions of differential equations with after-effect in a Banach space
V. K. Dubolar'
p. 1395-1401
Dynamical systems on a surface of genus two
G. M. Erahtina
p. 1402-1412
The singular solutions of a certain class of differential equations
R. Kabulov
p. 1413-1417
Approximate solution of integro-differential equations with retarded argument by the method of oscillating functions
N. V. Sharkova
p. 1418-1423
The integral representation of functions by an ordinary differential operator
V. R. Portnov
p. 1424-1438
Certain integral operators
A. G. Ramm
p. 1439-1452
The solution by the method of regularization of ill-posed problems with nonlinear unbounded operators
V. A. Morozov
p. 1453-1458
The Cauchy problem for a second order hyperbolic equation with a singularity in the coefficient (the case
$1\alpha2$
)
F. T. Baranovskii
p. 1459-1466
An investigation of the differential properties of generalized solutions of certain classes of second order quasilinear parabolic equations
A. D. Dzhabrailov
p. 1467-1480
An investigation of the stability of the solutions of the fundamental gas dynamics equations of the theory of the detonation of arbitrary substances
S. K. Aslanov
;
V. N. Budzirovsky
p. 1481-1489
The solution of linear ill-posed problems in Hilbert space
V. N. Strakhov
p. 1490-1495
The estimation of the solution of certain nonlinear integro-differential and operator equations with lag
Yu. I. Kovach
;
L. I. Savchenko
p. 1496-1505
The nonoscillatory solutions of third order linear differential equations
A. Ya. Divakova
p. 1506-1509
The oscillatability of the solutions of a nonlinear equation with multiplicatively separated right hand side
I. V. Kamenev
p. 1510-1513
The limit cycles of a certain system of nonlinear oscillations
O. A. Kononova
p. 1514-1515
On the theory of observability in Banach spaces
R. V. Zhevnyak
p. 1516-1519
The use of recurrence relations for MacDonald integrals to derive expressions for electromagnetic fields produced by dipoles in the presence of a perfectly conducting halfplane
A. A. Tuzhilin
p. 1520-1523
The uniqueness of the solution of a certain mixed boundary value problem for the equation
$z_{xx}+K(y)z_{yy}=0$
I. N. Lanin
p. 1524-1527
The branching of the solutions of a mixed problem for a certain operator-differential equation
M. A. Yagubov
p. 1528-1531
Поправки к~статье: «Грубые свойства линейных систем дифференциальных уравнений»
V. M. Millionshchikov
Letter to the editors
A. D. Myshkis
Letter to the editors
V. R. Vinokurov
Sommaire du
Fascicule no. 9
Solution of the Cauchy problem for a system of elasticity theory in an arbitrary domain
M. L. Rasulov
p. 1543-1551
A problem on the diffraction of a dipole field by a circular opening in a plane screen in the presence of a circular disc coaxial with it
E. A. Ivanov
p. 1552-1561
Certain questions on the stability of differential equations with aftereffect
S. N. Shimanov
;
G. S. Yudaev
p. 1562-1566
On the question of the asymptotic behavior of the solutions of Volterra's linear integral equations
Z. B. Tsalyuk
;
M. M. Shamsutdinov
p. 1567-1573
Certain properties of the integrating fractor
N. F. Otrokov
p. 1574-1586
An analysis of a discrete relay system on the phase plane
E. I. Gerashchenko
;
V. A. Gustomesov
p. 1587-1598
Second solutions of the nonlinear de la Vall\'ee Poussin problem
Yu. V. Pokornyi
p. 1599-1605
Differentiability with respect to the functional parameter of the solutions of differential equations with lag
M. Kiselevich
p. 1606-1614
A stationary integro-differential transport equation
S. F. Morozov
p. 1615-1623
A mixed problem for certain pluriparabolic differential equations
N. I. Brisch
;
N. J. Yurchuk
p. 1624-1630
The Dirichlet problem for elliptic equations with unbounded lowest coefficients.~I, II
N. I. Brisch
;
I. N. Yashkina
p. 1631-1642
Weak solutions of quasilinear parabolic equations
G. N. Yakovlev
p. 1643-1651
Analytic continuation of the Dirichlet series of elliptic boundary value problems.~I, II
V. E. Shatalov
;
I. A. Shishmarev
p. 1652-1672
Boundary estimates of the derivatives of the solutions of a certain class of hypoelliptic equations in the
$L_2$
metric
A. S. Fokht
p. 1673-1682
On the question of the stability of a certain discontinuous solution of the equations of gas dynamics
A. I. Karagodov
p. 1683-1690
Some new integral transforms
I. S. Zeinalov
p. 1691-1696
The application of the method of wave regions to the solution of a mixed problem for quasilinear hyperbolic equations
K. K. Gasanov
p. 1697-1707
The extension of Bendixson's method for a two-dimensional system to multidimensional analytic system
A. A. Shestakov
p. 1708-1712
The real singular points of the solutions of second order nonlinear differential equations
A. V. Kostin
p. 1713-1715
Construction of adjoint differential systems in the analytic case
S. S. Belyavsky
p. 1716-1717
The oscillatoriness of the solutions of a second order nonlinear equation with a sign-variable coefficient
I. V. Kamenev
p. 1718-1721
Second solutions of equations with positive operators
I. N. Astafieva
p. 1722-1724
The stability of the solution of the Dirichlet problem for an elliptic equation under a perturbation in measure of its coefficients
P. K. Senatorov
p. 1725-1726
A certain variant of the method of collocation by lines
Yu. P. Jarcev
p. 1727-1731
Sommaire du
Fascicule no. 10
A differential game of approach. II. Regular mixed strategies
N. N. Krasovskii
p. 1743-1751
Algebraic integrals of a certain system of differential equations
A. I. Yablonskii
p. 1752-1760
Conditions for the existence of a loop of a separatrix
N. F. Otrokov
p. 1761-1771
Integral curves of a certain dynamic system
V. F. Filiptsov
p. 1772-1779
Construction of algebraic trajectories and a qualitative investigation in the large of the behavior of the integral curves of a certain system of differential equations
R. M. Evdokimenko
p. 1780-1791
Multidimensional transmission systems of generalized processes.~III
S. T. Zavalishchin
p. 1792-1799
The existence of solutions of equations with aftereffect
A. B. Kurzhanskii
p. 1800-1809
A comparison with respect to the rate of convergence on certain modifications of differential descent
S. M. Gerashchenko
p. 1810-1817
A certain class of boundary value problems for nonlinear differential equations
V. S. Klimov
p. 1818-1823
The periodic solutions of a certain differential equation
Yu. K. Metlyaev
p. 1824-1830
The smoothness of the solution of the Dirichlet problem for second order elliptic equations in a piecewise smooth domain
V. A. Kondratiev
p. 1831-1843
Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, II
V. E. Shatalov
;
I. A. Shishmarev
p. 1844-1850
The solution of certain classes of boundary value problems for systems of bodies of complex form by the method of
$R$
-functions
A. P. Slesarenko
;
V. L. Rvachev
;
V. F. Kravchenko
p. 1851-1858
A solution of the multidimensional boundary value problems of mathematical physics by the method of planes and integral transforms
V. T. Ivanov
p. 1859-1870
The index of a linear boundary value problem for a system of composite type equations with two real characteristics
D. Murtazaev
p. 1871-1881
Systems with a finite number of singular points
Yu. V. Malyshev
p. 1882-1885
Stabilization of a programmed motion by means of a relay-discrete regulator
Z. V. Balyabina
p. 1886-1887
The uniqueness conditions for the limit cycle
L. I. Zhilevich
p. 1888-1891
The Green's matrix of certain boundary value problems
V. M. Zubov
p. 1892-1895
Sufficient conditions for the absence of integral cycles of Pfaffian systems of manifolds
V. S. Medvedev
p. 1896-1900
The existence of a periodic solution of a nonlinear system of three differential equations
N. N. Vinogradov
Drittes harmonisches Randwertproblem f\"ur eine Halbebene mit einem periodischen Koeffizienten in der Randbedingung
I. A. Strakhov
p. 1902-1904
Konstruktion formaler partikul\"arer L\"osungen eines Systems von inhomogenen Differentialgleichungen mit retardiertem Argument
Ya. P. Men'ko
;
A. A. Syrovatko
p. 1905-1906
Asymptotisches Verhalten der L\"osungen eines Systems von Differentialgleichungen zweiter Ordnung f\"ur
$h\to\infty$
in der komplexen Ebene~
$z$
I. A. Rubanov
p. 1907-1909
Einige Aufgaben der Dynamik der festen kompressiblen Medien
P. F. Sabodash
p. 1910-1911
\"Uber die N\"aherungsl\"osung hyperbolischer Systeme auf der Grundlage der Methode von Chaplygin
G. P. Kukhta
;
I. V. Popov
p. 1912-1913
Analogon der Geradenmethode f\"ur eine nichtlineare Differentialgleichung erster Ordnung mit variablem Operator im Banachraum
D. A. Ismailov
p. 1914-1915
Новые книги
Sommaire du
Fascicule no. 11
The stability of periodic motions in transcendental critical cases
Yu. N. Bibikov
p. 1927-1945
A functionalization of the parameter and a theorem of relatedness for autonomous systems
N. A. Bobylev
;
M. A. Krasnosel'skii
p. 1946-1952
The global stability of the solutions of a certain third order nonlinear system with a nonlinearity of the type of
$f(x,\,y)$
I. V. Gaishun
p. 1953-1962
Certain criteria for stability of motion in the presence of constantly acting perturbations
K. A. Karacharov
p. 1963-1969
The singular points of the solution of systems of second order differential equations
S. G. Kondratenya
;
A. I. Yablonskii
p. 1970-1975
The use of operators that have certain properties in qualitative investigations of differential equations
Yu. K. Metlyaev
p. 1976-1981
The stability of a linear system that is subject to the influence of a Markov chain
G. N. Mil'shtein
p. 1982-1993
Completeness of the sequence of solutions of a second order linear differential equation in a star-shaped domain with respect to a regular singular point of this equation
V. V. Ryndina
p. 1994-2004
Comparison theorems for the norms of the solutions of linear homogeneous differential equations in Hilbert spaces
V. V. Smagin
;
P. E. Sobolevskii
p. 2005-2010
Eigenfunction expansion of second order nonselfadjoint differential equations
V. N. Funtakov
p. 2011-2020
The Dirichlet problem for elliptic equations with unbounded lowest coefficients. I, II
N. I. Brisch
;
I. N. Yashkina
p. 2021-2029
Estimates of the eigenfunctions of Laplace's operator in certain domains
M. L. Gol'dman
p. 2030-2040
Asymptotic formulae for eigenvalues of second order elliptic operators that are degenerate on the axis of a cylinder
A. F. Goryunov
p. 2041-2052
Ljapunov functions and Cauchy problems for certain systems of partial differential equations
S. G. Krein
;
V. B. Osipov
p. 2053-2061
An initial value problem for systems with constant coefficients
F. G. Selezneva
;
S. D. Èidel'man
p. 2062-2073
A general solution of a finite difference problem for the equation
${\rm div(K}\nabla \Psi )=F$
with piecewise constant
$\chi $
and with Neumann conditions on a part of the boundary
I. M. Velikoivanenko
;
I. I. Lyashko
;
G. E. Mistetskiy
p. 2074-2079
A theorem on the uniqueness of the
$O$
-curve in
$N_2$
under conditions of the type of the Osgood condition
A. F. Andreev
;
V. Kuznetsov
p. 2080-2082
Specialized stability in a finite interval of time
S. S. Belyavsky
p. 2083-2085
The active control of the rotational motion of a solid body
V. I. Zubov
p. 2086-2087
Estimates for the solutions of a certain first order differential equation
G. S. Krechetov
p. 2088-2091
A certain example of a dynamical system
N. N. Ladis
p. 2092-2093
The regularization of linear equations in Banach spaces. II
O. A. Liskovets
p. 2094-2095
The stability of controlled motion with aftereffect along a given trajectory
A. A. Martynyuk
;
I. G. Kozubovskaya
p. 2096-2098
Exponential decay of the solution of a hyperbolic equation
A. G. Ramm
p. 2099-2100
Power asymptotics of order
$p0$
of the solutions of a nonautonomous differential system with a singular point of higher order
A. A. Shestakov
p. 2101-2104
Sommaire du
Fascicule no. 12
The periods of the solutions of certain autonomous systems
V. V. Amel'kin
;
N. A. Lukashevich
p. 2115-2120
Sufficient conditions for the ``structural instability of the first degree'' of a dynamical system on the plane
A. A. Andronov
;
E. A. Leontovich
p. 2121-2134
On the theory of identification of dynamical systems
R. Gabasov
;
T. B. Kopeikina
p. 2135-2148
The solutions of a certain system of differential equations in a certain singular case of stability
È. I. Grudo
p. 2149-2162
The solution of ordinary linear differential equations by trigonometric series
V. M. Darevskii
p. 2163-2173
The oscillations of a pendulum with a shock impulse. II
B. S. Kalitin
p. 2174-2181
The existence and behavior of solutions that have asymptotes in the case of second order nonlinear equations
A. V. Kostin
p. 2182-2192
A complete investigation of the number of limit cycles of the equation
$(b_{10}x+y)dy=\sum_{i+j\ge1}^2a_{ij}x^iy^jdx$
G. S. Rychkov
p. 2193-2199
An application of the method of parabolic potentials to the solution of a certain heat contact boundary value problem
E. A. Baderko
p. 2200-2213
On the question of the asymptotic distribution of the eigenvalues of second order degenerate elliptic operators
A. F. Goryunov
p. 2214-2223
A construction of the Green's function of the third exterior boundary value problem for the Schr\"odinger equation
I. A. Danilova
p. 2224-2232
A representation of the Green's function by rapidly converging bilinear series
K. B. Zholdykaraev
p. 2233-2241
Diffraction of the field of a vertical dipole by a circular opening in a plane screen between two different media
E. A. Ivanov
p. 2242-2247
Asymptotic behavior of the solutions of the second exterior boundary value problem for the two-dimensional wave equation
L. A. Muravei
p. 2248-2262
The absence of solutions belonging to
$L_2(x_0,\infty)$
of a second order linear differential equation
L. I. Anikeeva
p. 2263-2266
Linear difference systems with small lag
A. B. Vasil'eva
;
È. Yuldashev
p. 2267-2269
The topological classification of linear systems of differential equations
R. G. Dymanov
p. 2270-2272
A remark on the article ``Generalized solutions of systems with control''
A. D. Ioffe
p. 2273-2276
The nonlocal existence of solutions of differential equations with retarded argument
M. V. Kozlova
p. 2277-2280
A Cauchy type problem for
$N$
th order ordinary differential equations
V. S. Mokeichev
p. 2281-2285
An application of the method of the contour integral to the solution of the Cauchy problem for a second order parabolic system
M. L. Rasulov
p. 2286-2287