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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
2027–2029
An approach to the study of exponents of exponential growth of solutions of differential systems with impulse action
L. D. Zamkobaya
2030–2036
Estimates for characteristic Lyapunov exponents of linear systems with exponentially decreasing perturbations
N. A. Izobov
2036–2048
Some sufficient conditions for the upper semistability of Lyapunov exponents of nonhomogeneous linear systems. III
O. I. Morozov
2049–2053
On the global stability of a nonlinear differential equation
B. N. Skachkov
2054–2056
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
2057–2060
Stability of stochastic systems of neutral type with small deviations of the argument
D. Ya. Khusainov, A. S. Bychkov
2060–2069

Partial Differential Equations
A boundary value problem for a differential inequality
A. Kh. Amirov
2070–2075
An analogue of the Darboux problem for the two-dimensional wave equation. I
A. B. Bazarbekov
2075–2085
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
2085–2092
On the existence of a solution to the Tricomi problem
K. B. Sabitov
2092–2101
On the existence of a solution in the problem of determining the coefficient in a semilinear equation of parabolic type
V. V. Solov'ëv
2101–2110
Local solvability of the Cauchy problem in the space of complex-analytic branching functions
B. Yu. Sternin, V. E. Shatalov
2110–2123
The existence of optimal domains in problems with $B$-symmetric, $B$-positive operators
V. M. Filippov, A. È. Avakyan
2123–2128

Numerical methods
Mathematical modeling of problems of electrophoretic separation of biological mixtures. II
S. V. Ermakov, O. S. Mazhorova, Yu. P. Popov
2129–2137
Difference algorithms for solving a problem of heat convection
S. L. Lapko
2137–2148
Qualitative analysis of difference schemes for a model nonlinear equation with sign-variable viscosity
I. B. Palymskiy
2148–2158
Methods for the numerical investigation of the stability of the solution of stationary problems
R. J. Čiegis
2158–2165

Short Communications
Linearly ordered periodic solutions of the Riccati equation connected with a third-order linear differential equation
M. A. Dobrokhotova
2166–2168
Existence and asymptotics of solutions of an implicit Cauchy problem with a singularity
A. E. Zernov
2168–2169
Investigation of the stability of systems that have invariant toroidal manifolds
M. G. Medvedeva
2169–2172
Weighted boundary value problems for strongly degenerate equations
È. N. Sabziev
2172–2174
Conditions for the nonoscillation of regular solutions of a differential equation of Emden–Fowler type
Ch. A. Skhalyaho
2175–2177
Some cases of the reduction and generalization of the Abel differential equation of the second kind
P. G. Todorov, G. A. Krystev
2178–2179
Analogues of the Schwarz formula for the inhomogeneous Cauchy–Riemann system
T. V. Chekmarev
2180–2182
The relaxation character of the interaction of a strongly fertile population with its food base with moderate natural fluctuations
Yu. S. Kolesov
2182–2184
Robust stability with respect to nonlinear parameters
Yu. I. Neimark
2185–2187
On the Abel differential equation of the second kind
L. Zh. Palandzhyants
2187–2188
The regularization method in a problem of the optimal control of a nonlinear hyperbolic system
S. Ya. Serovaĭskiĭ
2188–2190

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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