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1982, Volume 18, Number 3
Ordinary Differential Equations
Criterion for upper semicontinuity of the
$i$
th Lyapunov exponent of a linear Hamiltonian system of differential equations
V. V. Veremenyuk
371–383
On the unconditional stability of a mathematical model of the solar system
N. I. Gavrilov
383–397
The analytic structure of solutions of nonlinear Pfaffian systems with bounded coefficients in transcendental cases
È. I. Grudo
397–409
On the construction of attracting manifolds and stabilization of nonlinear systems
E. I. Ivanova, V. D. Furasov
409–418
Special classes of solutions of Painlevé equations
V. I. Gromak, N. A. Lukashevich
419–429
On an infinite-dimensional analogue of a problem of the control of ordinary differential equations
M. T. Saksonov
430–439
Partial Differential Equations
The asymptotic behavior of the solution to a second-order elliptic equation with a small parameter multiplying the highest derivatives
R. G. Akhmetov
440–450
On a class of eigenvalue problems that contain a spectral parameter in a boundary condition
S. A. Gabov
450–457
Conservation laws for linear systems
V. V. Zharinov
458–466
Sobolev imbeddings of the weighted closure of the functions of compact support
J. V. Rybalov
466–476
Orthogonal expansions on the boundary of the domain in elliptic boundary value problems
V. Ya. Tereshchenko
476–486
Integral Equations
Factorization of measurable matrix-valued functions and related problems in the theory of systems of singular integral equations and the vector Riemann boundary
I. M. Spitkovsky
487–498
Numerical inversion of integral operators of the first kind of simple layer potential type
M. M. Khapaev (Jr.)
498–505
Some integral representations of
$y^k$
-analytic functions and their applications to the theory of filtration in an inhomogeneous medium
D. Z. Khoang
505–514
Short Communications
Solvability of the first boundary value problem for a differential equation of elliptic type in fractional B-spaces
S. A. Abdymanapov
515–520
Linear Pfaffian equations
N. D. Vasilevich
520–523
Representation of solutions of linear equations with a nonequivalent change of variable
V. M. Zubov
523–526
On the method of lines for solving mixed boundary value problems in multiply connected domains
V. T. Ivanov
526–529
On the existence in the large of a generalized solution of the system of Vlasov equations in an unbounded domain
M. Ismatov
530–533
On the behavior of characteristics of equations of mixed type with a closed line of degeneracy
A. G. Kuz'min
533–534
On a topological imbedding of an interval in the set of solutions of an ordinary differential equation
A. Ya. Lepin, V. D. Ponomarev
535–537
Zeta functions and trace formulas for a boundary value problem for a functional-differential equation
M. Martinovič
537–540
The Dirichlet problem for weakly connected elliptic systems of differential equations with continuous boundary conditions
È. P. Meliksetyan
541–544
Approximation of linear stationary differential equations with deviating argument
N. P. Oparin
545–547
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