This article is cited in 2 papers

Mathematics

About uniqueness of the solution of semi-integral problem for one equation of the fourth order

E. A. Utkina

Dept. of Information Technologies in Education, Tatar State Humanitarian-Pedagogical University, Kazan, 420021, Russia

Abstract: In the rectangular domain, formed by the characteristic planes of the equation of the fourth order with twofold higher order partial derivative, sufficient conditions of uniqueness of solution of semi-integral problem are calculated. These conditions are written in terms of coefficients of the equation, and the carried reasonings are based on the method of a priori estimate.

Keywords: pseudoparabolic equations, Gurs task, integral conditions.

UDC: 517.956

Received: 04.03.2010
Revised: 04.03.2010