A. I. Kozhanov, N. S. Popov, “On solvability to nonlocal boundary value problems for pseudoparabolic equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2010, Volume 10, Issue 3,Pages <nobr>46

This article is cited in 4 papers

On solvability to nonlocal boundary value problems for pseudoparabolic equations

A. I. Kozhanov^ab, N. S. Popov^c

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University
^c North-Eastern Federal University named after M. K. Amosov

Abstract: The nonlocal boundary value problems connected with the problems with A. A. Samarskii conditions and the problems with integral conditions for pseudoparabolic equations
$$u_t-a(x,t)u_{xx}+c(x,t)u-u_{xxt}=f(x,t)$$
are investigated. The existence and uniqueness of regular solutions are proved.

Keywords: pseudoparabolic equations; nonlocal boundary value problem; regular solutions; existence; uniqueness.

UDC: 517.946

Received: 02.09.2009