Article

A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation

M. S. SalakhitdinovInstitute of Mathematics , Uzbek Academy of Sciences, 29F. Hodjaev street, Tashkent 700125, UzbekistanAnvar HasanovInstitute of Mathematics , Uzbek Academy of Sciences, 29F. Hodjaev street, Tashkent 700125, Uzbekistan

Complex Variables and Elliptic Equationsjournal2008en

ABI

Abstract

In the paper “Fundamental solutions of generalized bi-axially symmetric Helmholtz equation”, Complex Variables and Elliptic Equations, 52(8), 2007, 673–683, fundamental solutions of generalized bi-axially symmetric Helmholtz equation (GBSHE), were constructed in , which express confluent hypergeometric functions Kummer from three variables. In this article, using one of the constructed fundamental solutions, in the domain the boundary value problem N is solved. A solution of a boundary value problem is defined in an explicit form.

Topics

Differential Equations and Numerical Methods Nonlinear Waves and Solitons Differential Equations and Boundary Problems

Identifiers

DOI: 10.1080/17476930701769041

Citations and references

Cited by 16 15 references

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