A. I. Kozhanov, N. R. Pinigina, “Boundary value problems for certain classes of high order composite type equations”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>842

This article is cited in 7 papers

Differentical equations, dynamical systems and optimal control

Boundary value problems for certain classes of high order composite type equations

A. I. Kozhanov^ab, N. R. Pinigina^c

^a Sobolev Institute of Mathematics, pr. Academician Koptyug 4, 630090, Novosibirsk, Russia
^b Novosibirsk State University, ul. Pirogova 2, 630090, Novosibirsk, Russia
^c Ammosov North-Eastern Federal University, ul. Belinskogo 58, 677000, Yakutsk, Russia

Abstract: Solvability questions for boundary and initial-boundary value problems for some classes of high order composite-type equations are studied and, as a result, the existence and uniqueness of regular solutions is proved.

Keywords: Sobolev type equation, boundary value problem, regular solutions, uniqueness, existence, a priori estimates.

UDC: 517.954

MSC: 35M99

Received December 26, 2014, published November 18, 2015

DOI: 10.17377/semi.2015.12.070