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1992, Volume 28, Number 12  


Ordinary Differential Equations
The method of Lyapunov functions for systems with perturbations
O. V. Anashkin, M. M. Khapaev
2027
An approach to the study of exponents of exponential growth of solutions of differential systems with impulse action
L. D. Zamkobaya
2030
Estimates for characteristic Lyapunov exponents of linear systems with exponentially decreasing perturbations
N. A. Izobov
2036
Some sufficient conditions for the upper semistability of Lyapunov exponents of nonhomogeneous linear systems. III
O. I. Morozov
2049
On the global stability of a nonlinear differential equation
B. N. Skachkov
2054
Solvability in the large of the Cauchy problem for systems of nonlinear differential equations with fast and slow variables of a special form
V. A. Strizhkov
2057
Stability of stochastic systems of neutral type with small deviations of the argument
D. Ya. Khusainov, A. S. Bychkov
2060

Partial Differential Equations
A boundary value problem for a differential inequality
A. Kh. Amirov
2070
An analogue of the Darboux problem for the two-dimensional wave equation. I
A. B. Bazarbekov
2075
Solution of a problem of heat propagation in a circular two-layer plate with a heat source that moves along its surface
D. B. Potyagailo, Ya. P. Romanchuk
2085
On the existence of a solution to the Tricomi problem
K. B. Sabitov
2092
On the existence of a solution in the problem of determining the coefficient in a semilinear equation of parabolic type
V. V. Solov'ëv
2101
Local solvability of the Cauchy problem in the space of complex-analytic branching functions
B. Yu. Sternin, V. E. Shatalov
2110
The existence of optimal domains in problems with $B$-symmetric, $B$-positive operators
V. M. Filippov, A. È. Avakyan
2123

Numerical methods
Mathematical modeling of problems of electrophoretic separation of biological mixtures. II
S. V. Ermakov, O. S. Mazhorova, Yu. P. Popov
2129
Difference algorithms for solving a problem of heat convection
S. L. Lapko
2137
Qualitative analysis of difference schemes for a model nonlinear equation with sign-variable viscosity
I. B. Palymskiy
2148
Methods for the numerical investigation of the stability of the solution of stationary problems
R. J. Čiegis
2158

Short Communications
Linearly ordered periodic solutions of the Riccati equation connected with a third-order linear differential equation
M. A. Dobrokhotova
2166
Existence and asymptotics of solutions of an implicit Cauchy problem with a singularity
A. E. Zernov
2168
Investigation of the stability of systems that have invariant toroidal manifolds
M. G. Medvedeva
2169
Weighted boundary value problems for strongly degenerate equations
È. N. Sabziev
2172
Conditions for the nonoscillation of regular solutions of a differential equation of Emden–Fowler type
Ch. A. Skhalyaho
2175
Some cases of the reduction and generalization of the Abel differential equation of the second kind
P. G. Todorov, G. A. Krystev
2178
Analogues of the Schwarz formula for the inhomogeneous Cauchy–Riemann system
T. V. Chekmarev
2180
The relaxation character of the interaction of a strongly fertile population with its food base with moderate natural fluctuations
Yu. S. Kolesov
2182
Robust stability with respect to nonlinear parameters
Yu. I. Neimark
2185
On the Abel differential equation of the second kind
L. Zh. Palandzhyants
2187
The regularization method in a problem of the optimal control of a nonlinear hyperbolic system
S. Ya. Serovaĭskiĭ
2188

Chronicle
Воронежская весенняя математическая школа «Современные методы качественной теории краевых задач»
V. A. Il'in, S. A. Lomov, Yu. V. Pokornyi
2191
 
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