A. A. Abashkin, “One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, Issue 2(83),Pages <nobr>5

This article is cited in 1 paper

Mathematics

One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation

A. A. Abashkin

Dept. of Higher Mathematics, Samara State University of Architecture and Construction

Abstract: A nonlocal boundary value problem for degenerate elliptic equation is considered. Boundary value of this problem considerably depend on low derivative coefficient changes. Existence and uniqueness of a solution are proved.

Keywords: non-local problem, Bessel equation, Riesz basis, uniform convergence of series.

UDC: 517.956

Received: 27.04.2010
Revised: 20.06.2011