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2005, Volume 41, Number 9  


Partial Differential Equations
A Generalization of the Neumann Problem for the Helmholtz Equation Outside Cuts on the Plane
P. A. Krutitskii, V. V. Kolybasova
1155
Application of Integral Equations to Finding Asymptotics of Solutions of Singularly Perturbed Semilinear Heat Equations
G. A. Nesenenko
1166
On the Three-Dimensional Neumann Boundary Value Problem with a Generalized Boundary Condition in a Domain with Smooth Closed Boundary
A. V. Setukha
1177
Existence and Uniqueness of a Solution of a Singular Volume Integral Equation in a Diffraction Problem
Yu. G. Smirnov, A. A. Tsupak
1190

Integral Equations
A Generalized Overrelaxation Method for Solving Singular Volume Integral Equations in Low-Frequency Scattering Problems
N. V. Budko, A. B. Samokhin, A. A. Samokhin
1198
Integro-Functional Equations for Solving the Inverse Problem for a Nonlinear Ordinary Differential Equation
A. M. Denisov
1203
On Normalizing Spaces for a Singular Integral Operator with Degenerating Symbol
G. V. Kovaleva
1210
Singular Integral Equations with a Fixed Hypersingularity on an Arbitrary Piecewise Smooth Curve
A. F. Matveev
1218
Inversion of Singular Integrals with Cauchy Kernels in the Case of an Infinite Integration Domain
D. Pylak, M. A. Sheshko
1229
Estimates for Weakly Singular Integral Operators Defined on Closed Integration Contours and Their Applications to the Approximate Solution of Singular Integral Equations
V. N. Seichuk
1242

Numerical methods
Acoustic Scattering by a Cross-Shaped Hole on a Smooth Boundary Surface Near a Resonance Point of the Interior Domain
E. V. Zakharov, S. I. Safronov, R. P. Tarasov
1252
Models of Radiation Scattering by Crystalline Plates on the Basis of the Method of Integral Representations for Fields
Yu. A. Eremin, V. I. Ivakhnenko
1261
Analysis of Some Computational Schemes for a Hypersingular Integral Equation on an Interval
I. K. Lifanov, A. S. Nenashev
1270
On a Method for Approximate Analysis of Linear Stochastic Integro-Differential Systems
I. E. Poloskov
1276
On the Numerical Solution of a Class of Singular Integral Equations on an Infinite Interval
J. G. Sanikidze
1280
On an Algorithm for Solving Fredholm Equations with Analytic Coefficients
S. G. Solodkii
1286

Short Communications
A Remark on the Controllability Problem for Differential-Algebraic Dynamical Systems
V. V. Krakhotko, G. P. Razmyslovich
1291
 
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