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1980, Volume 16, Number 12  


Ordinary Differential Equations
Expansion in eigenfunctions of a fourth-order differential operator with discontinuous coefficients
A. B. Budak
2115–2126
On integral asymptotic behavior in certain boundary value problems
Z. I. Kanevskii
2127–2132
Two fundamental systems of solutions of a class of equations of the mechanics of a deformable body
A. D. Lizarev
2133–2139
A manifold that determines the type of asymptotically stable invariant set
S. Yu. Pilyugin
2140–2147
On a system with a triple zero root of the characteristic equation. I
V. B. Pilyugina
2148–2155
Representations of $TO$-solutions of the equation $X(x,\,y)dy=Y(x,\,y)dx$ in the quasianalytic case
T. V. Stepanova
2156–2161
Attainability of central exponents of a linear Hamiltonian system. II
Fam Fu
2162–2176
On the solution of nonlinear equations in certain normed spaces
A. A. Fonarev
2177–2180

Partial Differential Equations
Smooth multipliers of the Fourier–Bessel transformation
A. L. Brodskii
2181–2185
On the question of the solution of nonlinear boundary value problems by the Kantorovich–Vlasov method
V. Ph. Kirichenko, V. A. Krys'ko
2186–2189
Solution of a boundary value problem on the scattering of a wave of type $H_{10}$ by a cylindrical inhomogeneity of elliptic profile in a rectangular waveguide
A. V. Moshinskii
2190–2204
Galilean systems of differential equations
S. M. Shugrin
2205–2218

Integral Equations and Integral-Differential
Nonlinear integral equations with an operator of inner superposition
M. E. Drakhlin, L. M. Kultysheva
2219–2229
A nonlinear integro-differential system of equations of the kinetics of reactors
Yu. A. Kuznetsov, V. V. Shashkov
2230–2246
The averaging method in the “predator-prey” system
G. S. Larionov
2247–2254
Approximate solution of singular integral equations by the degenerate kernel method
M. A. Sheshko, V. S. Mastyanitsa
2255–2267

Short Communications
Numerical solution of the problem of diffraction of an electrical dipole field by a circular aperture in a screen
V. I. Adamovič, E. A. Ivanov
2268–2271
On the normal Hausdorff solvability of a two-dimensional singular integral equation
I. I. Komyak
2272–2275
Suppression of the rotation of an inert rigid body
A. M. Meilakhs
2276–2277
Investigation of a complex singular point of a differential system by the blow-up method
Yu. N. Merenkov
2278–2280
On a change of variables in ordinary differential equations
A. E. Rodkina
2281–2283
An elementary proof and applications of a theorem of F. Takens
A. P. Sadovskii
2284–2287
 
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