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 

On the unconditional stability of a mathematical model of the solar system N. I. Gavrilov

383 

The analytic structure of solutions of nonlinear Pfaffian systems with bounded coefficients in transcendental cases È. I. Grudo

397 

On the construction of attracting manifolds and stabilization of nonlinear systems E. I. Ivanova, V. D. Furasov

409 

Special classes of solutions of Painlevé equations V. I. Gromak, N. A. Lukashevich

419 

On an infinitedimensional analogue of a problem of the control of ordinary differential equations M. T. Saksonov

430 

Partial Differential Equations


The asymptotic behavior of the solution to a secondorder elliptic equation with a small parameter multiplying the highest derivatives R. G. Akhmetov

440 

On a class of eigenvalue problems that contain a spectral parameter in a boundary condition S. A. Gabov

450 

Conservation laws for linear systems V. V. Zharinov

458 

Sobolev imbeddings of the weighted closure of the functions of compact support J. V. Rybalov

466 

Orthogonal expansions on the boundary of the domain in elliptic boundary value problems V. Ya. Tereshchenko

476 

Integral Equations


Factorization of measurable matrixvalued functions and related problems in the theory of systems of singular integral equations and the vector Riemann boundary I. M. Spitkovsky

487 

Numerical inversion of integral operators of the first kind of simple layer potential type M. M. Khapaev (Jr.)

498 

Some integral representations of $y^k$analytic functions and their applications to the theory of filtration in an inhomogeneous medium D. Z. Khoang

505 

Short Communications


Solvability of the first boundary value problem for a differential equation of elliptic type in fractional Bspaces S. A. Abdymanapov

515 

Linear Pfaffian equations N. D. Vasilevich

520 

Representation of solutions of linear equations with a nonequivalent change of variable V. M. Zubov

523 

On the method of lines for solving mixed boundary value problems in multiply connected domains V. T. Ivanov

526 

On the existence in the large of a generalized solution of the system of Vlasov equations in an unbounded domain M. Ismatov

530 

On the behavior of characteristics of equations of mixed type with a closed line of degeneracy A. G. Kuz'min

533 

On a topological imbedding of an interval in the set of solutions of an ordinary differential equation A. Ya. Lepin, V. D. Ponomarev

535 

Zeta functions and trace formulas for a boundary value problem for a functionaldifferential equation M. Martinovič

537 

The Dirichlet problem for weakly connected elliptic systems of differential equations with continuous boundary conditions È. P. Meliksetyan

541 

Approximation of linear stationary differential equations with deviating argument N. P. Oparin

545 