N. D. Golubeva, “Mixed problem with integral condition for the hyperbolic equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 4(25),Pages <nobr>154

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Short Communication
Differential Equations

Mixed problem with integral condition for the hyperbolic equation

N. D. Golubeva

Dept. of Higher Mathematics and Applied Informatics, Samara State Technical University, Samara

Abstract: In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.

Keywords: nonlocal problem, integral condition, a priori estimates.

UDC: 517.956.32

MSC: 35L20

Original article submitted 10/X/2011
revision submitted – 11/XI/2011

DOI: 10.14498/vsgtu1004