This article is cited in 5 papers

Problems involving equations of hyperbolic type in the plane or three-dimensional space with conjugation conditions on a characteristic

M. V. Dolgopolov, I. N. Rodionova

Samara State University

Abstract: For an equation of hyperbolic type in the plane or one of its third-order analogues in three-dimensional space, we solve boundary-value problems in special classes introduced by the authors on domains containing two lines (planes) of singularity of the coefficients of these equations under conjugation conditions on a characteristic line (plane).

Keywords: integral equation, boundary-value problem, equation of hyperbolic type.

UDC: 517.95

MSC: Primary 35L10; Secondary 35L25, 35L51

Received: 25.05.2009
Revised: 19.04.2010

DOI: 10.4213/im4117

 English version: Izvestiya: Mathematics, 2011, 75:4, 681–689

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