This article is cited in 2 papers

Differential Equations

On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation

A. A. Abashkin

Samara State Academy of Architecture and Construction, Samara, Russia

Abstract: Boundary value problem in an infinity half-strip for biaxisymmetric Helmholtz equation is explored. Existence conditions of this problem are gotten with help of Fourier–Bessel series expansion. Uniqueness of solution of this boundary value problem is proved for some parameters values. Lack of uniqueness of solution is proved for some other parameters values.

Keywords: Helmholtz equation, boundary value problem, Fourier–Bessel series, Bessel functions, maximum principle.

UDC: 517.956.223

MSC: Primary 35J05; Secondary 35J25, 35B30

Original article submitted 08/XII/2011
revision submitted – 27/II/2012

DOI: 10.14498/vsgtu1023

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