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1971, Volume 7, Number 2  


Николай Иванович Мусхелишвили (к 80-летию со дня рождения)
A. V. Bitsadze, I. N. Vekua, N. P. Erugin, V. D. Kupradze, A. N. Tikhonov
195

Ordinary Differential Equations
Asymptotic representation of the solutions of a certain system of two differential equations
È. I. Grudo
196
The oscillatoriness of the solutions of second order differential equations
Yu. I. Domshlak
205
Certain functional methods in the theory of almost periodic solutions. I
V. V. Zhikov
215
Certain sufficient tests for the existence of limit cycles of a certain dynamic system
I. A. Konovalov
226
Exponential solutions of the Cauchy problem with a constant operator
G. I. Laptev
232
The eigenfunction expansion of a second order differential equation with one turning point
O. F. Mikulina
244
The structural stability of a sequence of linear systems of second order differential equations with periodic coefficients
V. A. Pliss
261
Estimates of the solutions of certain systems of differential equations with time lag
V. I. Rozhkov, A. M. Popov
271
The qualitative behavior of the trajectories of a certain class of differential systems
A. I. Yablonskii
279

Partial Differential Equations
The eigenfunction expansion for the Schrödinger operator
Sh. A. Alimov
286
The stabilization of the solution of the Cauchy problem for a parabolic equation
A. K. Gushchin, V. P. Mikhailov
297
On the Gevrey theory for parabolic potentials. I, II
L. I. Kamynin
312
The stabilization of the solution of a boundary value problem for a fourth order parabolic equation
D. V. Proka
329
Optimal approximate methods for the solution of linear problems
V. D. Charushnikov
344

Short Communications
Transformations of ordinary nonlinear differential equations
L. M. Berkovich
353
The approximate solution of singular integro-differential equations by the method of averaging of functional corrections
V. G. Ivanic'kii
357
The isochrony of a certain system of differential equations
Z. M. Kochetkova
359
The perturbations that preserve the stability property
G. S. Krechetov
363
Sets of bilateral attraction
N. N. Ladis
365
The computation of the quadratic functional in a certain special case
E. M. Markushin
368
The computation of quadratic functionals for systems with time lag
E. M. Markushin
369
Necessary and sufficient conditions for the realizability of the limiting amplitude principle
A. G. Ramm
371
The eigenfunction expansion of a certain linear operator
V. G. Hryptun
373
Linear zero-divergence transformations and the Hall effect
M. S. Shneerson, N. F. Kudryashova
376

Letters to the Editor
Letter to the editor
E. A. Baderko
378
Letter to the editor
B. S. Kalitin
378
 
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