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A.V. Shanin

Bio: A.V. Shanin is an academic researcher from Moscow State University. The author has contributed to research in topics: Separable partial differential equation & Hyperbolic partial differential equation. The author has an hindex of 1, co-authored 1 publications receiving 3 citations.

Papers
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Proceedings ArticleDOI
01 Jan 1999
TL;DR: In this paper, a functional equation of Wiener-Hopf type with analytical restrictions on unknown functions is derived for plane wave scattering on a strip or on a set of strips located in a plane.
Abstract: The problem of plane wave scattering on a strip or on a set of strips located in a plane is under consideration. A functional equation of Wiener-Hopf type with analytical restrictions on unknown functions is derived. It is shown that the solution of the problem (the spectrum of the scattered field) is a solution of an ordinary differential equation (ODE). The coefficients of the ODE are known up to several constants. The restrictions enabling one to determine the constants are discussed. Thus, the problem of diffraction by strips is reduced to the problem of finding the constants and solving the ODE, but not the integral equation.

3 citations


Cited by
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Proceedings ArticleDOI
01 Jan 2000
TL;DR: In this paper, the authors studied the diffraction series (Schwarzschild's series) to solve the problem of diffraction at a slit with ideal boundary conditions and derived the representation obtained by Williams (1982) and the differential equations for the unknown functions.
Abstract: We study the diffraction series (Schwarzschild's series) to solve the problem of diffraction at a slit with ideal boundary conditions. Using this series we derive the representation obtained by Williams (1982) and the differential equations for the unknown functions.

4 citations

Journal ArticleDOI
TL;DR: In this article, a diffraction series (Schwarzschild's series) that solves the problem on diffraction by a slit with ideal boundary conditions is considered, the representation obtained earlier by M. Williams is derived, and differential equations for unknown functions are obtained.
Abstract: A diffraction series (Schwarzschild's series) that solves the problem on diffraction by a slit with ideal boundary conditions is considered. Using this series, the representation obtained earlier by M. Williams is derived, and differential equations for unknown functions are obtained. Bibliography: 9 titles.

3 citations

Journal ArticleDOI
TL;DR: In this paper, a three-tier methodology of analytical identification has been provided, which unlike the known approaches is based on aggregated models, which can be used to identify the technical condition of a power-plant boiler.

2 citations