A. I. Kozhanov, A. V. Dyuzheva, “Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations”, Mathematical notes of NEFU, 2020, Volume 27, Issue 4,Pages <nobr>30

This article is cited in 1 paper

Mathematics

Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations

A. I. Kozhanov^ab, A. V. Dyuzheva^c

^a Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
^b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
^c Samara State Technical University, 244 Molodogvardeyskaya Street, Samara 443100, Russia

Abstract: We study solvability of a nonlocal problem with integral conditions for Sobolev-type differential equations of the third order. Using spectral decompositions, we prove existence and uniqueness theorems for solutions with all generalized S. L. Sobolev derivatives entering the equation.

Keywords: Sobolev-type differential equation, problem with integral conditions, regular solution, existence, uniqueness.

UDC: 517.946

Received: 12.11.2020
Accepted: 29.11.2020

DOI: 10.25587/SVFU.2020.80.43.003