This article is cited in 2 papers

Differential Equations

On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign

A. A. Tokova

Dept. of Mathematics, North-Caucasian State Humanitarian-Technological Academy, Cherkessk

Abstract: Non-local boundary value problem for loaded equation of parabolic type with the sign-variable characteristic form is solved. Common representation of solution is constructed. The theorems of common representation, existence and uniqueness of solution for boundary value problems set in rectangular domain are proved.

Keywords: loaded differential equation, regular solution, non-local boundary value problem, uniqueness, occurence.

UDC: 519.633

MSC: 35K10

Original article submitted 08/XI/2010
revision submitted – 30/V/2011

DOI: 10.14498/vsgtu845

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