This article is cited in 1 paper

Mathematics

Initial boundary value problem for some class of non-linear degenerate pseudoparabolic equations

G. S. Hakobyan^a, R. Lotfikar<sup>b

a</sup> Chair of Optimal Control and Approximation Methods YSU, Armenia
^b Azad University of Ilam, Iran Islamic Republic

Abstract: The present paper studies existence and uniqueness of solution of initial boundary value problems for the non-linear degenerate pseudoparabolic equations. It is proved that if operators $L$ and $M$ satisfy certain conditions, the problem has a unique solution in corresponding functional spaces.

Keywords: non-linear operator, pseudoparabolic, monotone operator.

Received: 09.12.2008
Accepted: 25.01.2009

Language: English