This article is cited in 2 papers

Differential Equations

On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary

V. A. Eleev, A. Kh. Balkizova

Dept. of Function Theory and Functional Analysis, Kabardino-Balkar State University, Nal'chik

Abstract: The one-valued solvability of the conjugation problems of parabolic and hyperbolic equations in finite domains was proved by the method of equivalent reduction to Volterra integral equation of the second kind.

Keywords: Volterra integral equation, conjugation problems, Bessel functions.

UDC: 517.956.6

MSC: 35M10

Original article submitted 18/XI/2010
revision submitted – 25/VIII/2011

DOI: 10.14498/vsgtu850

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