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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 5(21), Pages 263–267 (Mi vsgtu825)

This article is cited in 5 papers

Short Communication
Differential Equations

The Boundary Value Problem for the Loaded Equation of Mixed Parabolic-Hyperbolic Type in Rectangular Area

A. V. Tarasenko

Dept. of Higher Mathematics, Samara State Academy of Architecture and Construction, Samara

Abstract: In work necessary and sufficient conditions of uniqueness of the decision of a regional problem for the loaded equation mixed parabolic hyperbolic type in rectangular area are established. The problem decision is constructed in the form of the number sum on own functions of a corresponding one-dimensional problem on own values.

Keywords: loaded equation of mixed type, spectral method, uniqueness, existence.

UDC: 517.956.6

MSC: 35M12

Original article submitted 01/IX/2010
revision submitted – 11/X/2010

DOI: 10.14498/vsgtu825



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