Ordinary Differential Equations


A method for superfast convergence and the reducibility of almost periodic systems I. N. Blinov

187 

Nonregular pencils of differential operators in a space of vector functions A. I. Vahabov

199 

Lyapunov functions for a class of secondorder autonomous systems G. S. Krechetov

207 

On the theory of optimization from initial data of systems with aftereffect S. A. Minyuk, V. V. Sen'ko

212 

Meromorphic solutions of firstorder differential equations A. Z. Mokhon'ko

222 

Prolongation of the loss of stability in the case of dynamic bifurcations. II A. I. Neishtadt

226 

Realization of a given trajectory of motion and of a pencil of trajectories A. T. Taldykin, T. A. Ulanova

234 

On relatedness theorems for equations with retarded argument V. P. Tikhonov

240 

Some methods for obtaining estimates for the solutions of inequalities Z. B. Tsalyuk

250 

Observability of objects of neutral type by means of linear operations B. Sh. Shklyar

258 

Partial Differential Equations


Investigation of the convergence of difference schemes for calculating a process of the heat treatment of composite materials by means of infrared radiation P. A. Vakulchik, I. S. Shchukina

267 

The Cauchy problem in classes of increasing functions for some nonlinear pseudoparabolic equations A. L. Gladkov

277 

Stabilization of the solution of the Cauchy problem for the heat equation V. N. Denisov

288 

Fundamental solutions of differential equations containing a Bessel operator A. A. Kulikov

299 

The generalized Poisson integral and the smoothness of the solution of the Dirichlet problem for degenerate elliptic operators P. I. Lizorkin, N. V. Miroshin

305 

On the theory of fractional calculus A. M. Nakhushev

313 

Formulas for the inversion of integral representations of some $p$analytic functions and for their application D. Z. Khoang

324 

Short Communications


Some remarks on solutions of autonomous equations that approach finite limits at infinity S. A. Bespalova, Yu. A. Klokov

336 

Dependence of the stability of linear periodic systems on the period N. A. Bodunov, F. F. Kotchenko

338 

Normal local controllability of objects that can be described by a system of secondorder differential equations with one control parameter A. V. Boltyanskii

341 

An angular boundary layer in the asymptotics of the solution of a singularly perturbed system of equations of elliptic type V. F. Butuzov, A. G. Nikitin

343 

On the uniform boundedness of solutions E. V. Voskresenskii

346 

Localization of the solutions of the Cauchy problem for $\vec{2b}$parabolic systems in classes of generalized functions V. V. Gorodestkii

348 

Inverse problem for an integrodifferential equation of the second order with a singularity M. S. Eremin

350 

Dependence of the interval of existence of the solution of a differential equation on the initial data B. V. Zadvornyi

351 

Twosided estimates for $s$numbers of integral operators that increase smoothness G. G. Islamov

353 

Convergence in $L^2$ of families of solutions of nonlinear systems with a small parameter multiplying the derivative V. P. Skripnik

357 

Conditions for the maximal dissipativity of differentialboundary operators in a space of vector functions O. G. Storozh

359 

Smooth equivalence of systems of differential equations with power asymptotics of the solutions and of their discrete analogues in a neighborhood of an invariant manifold S. P. Tokarev

361 