A. I. Kozhanov, G. A. Lukina, “Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics”, Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 3,Pages <nobr>37

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Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics

A. I. Kozhanov^ab, G. A. Lukina^c

^a Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia
^b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
^c Mirnyi Polytechnic Institute (Branch of the North-Eastern Federal University in Mirnyi), 5/1, Tikhonov St., Mirnyi 678175, Russia

Abstract: We study the solvability of new local and nonlocal boundary-value problems for degenerate differential equations with multiple characteristics. For the problems under consideration, we prove the theorems on the existence of regular solutions (which have all generalized Sobolev derivatives occurring in the equation). We give also the possible generalizations and strengthening of the results.

Keywords: degenerate differential equations with multiple characteristics, nonlocal problems, regular solutions, existence.

UDC: 517.946

Received: 29.11.2016

DOI: 10.17377/PAM.2017.17.4