N. V. Beylina, “On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 2(23),Pages <nobr>34

This article is cited in 4 papers

Differential Equations

On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition

N. V. Beylina

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

Abstract: In this paper we study an inverse problem with an integral overdetermination condition for a hyperbolic equation with an unknown coefficient in equation. The existence and uniqueness of a solution is proved with the help of an a-priory estimate and Galyorkin procedure.

Keywords: inverse problem, integral condition, solvability.

UDC: 517.956.37

MSC: Primary 35R30; Secondary 35L10

Original article submitted 25/IV/2011
revision submitted – 05/V/2011

DOI: 10.14498/vsgtu957