S. E. Kholodovskii, N. N. Shadrina, “Solution of boundary-value problems with generalized transmission conditions of the type of a crack or a screen”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 6,Pages <nobr>100

This article is cited in 1 paper

Solution of boundary-value problems with generalized transmission conditions of the type of a crack or a screen

S. E. Kholodovskii^a, N. N. Shadrina^b

^a Chair of Fundamental and Applied Mathematics, Transbaikal State Humanitarian Pedagogical University, Chita, Russia
^b Chair of Information Science, Computer Engineering and Applied Mathematics, Chita State University, Chita, Russia

Abstract: We obtain formulas for solutions of boundary-value problems similar to classical ones in cylindrical domains under additional generalized transmission conditions of the type of a strongly permeable crack or a weakly permeable screen. The obtained solutions are operations that affect the known function only in one variable. By a composition of the mentioned operators we solve boundary-value problems with generalized transmission conditions on intersecting surfaces.

Keywords: boundary-value problems, cracks, screens, method of convolution of Fourier expansions.

UDC: 517.956

Received: 01.02.2010