This article is cited in 2 papers

Differential Equations

Boundary Value Problem For the Equation of Mixed Type with Singular Coefficient in the Domain where the Elliptical Part Is a Half-band

M. Kh. Ruziev

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan

Abstract: Boundary value problem is studied in the unbounded domain. Uniqueness of the problem is proven with the help of the extreme principle. Existence of the problem is established by methods of separation of variables and integral equations.

Keywords: half–band, mixed type equation, boundary value problem, uniqueness, existence.

UDC: 517.956.6

MSC: 35M10

Original article submitted 28/X/2008
revision submitted – 05/II/2009

DOI: 10.14498/vsgtu645

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