A. T. Assanova, Z. S. Tokmurzin, “A nonlocal multipoint problem for a system of fourth-order partial differential equations”, Eurasian Math. J., 2020, Volume 11, Number 3,Pages <nobr>8

This article is cited in 10 papers

A nonlocal multipoint problem for a system of fourth-order partial differential equations

A. T. Assanova^a, Z. S. Tokmurzin^b

^a Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010 Almaty, Kazakhstan
^b Physics and Mathematics Faculty, K. Zhubanov Aktobe Regional University, 34A A. Moldagulova Ave, 030000 Aktobe, Kazakhstan

Abstract: A nonlocal multipoint problem for a system of fourth-order partial differential equations is investigated. Based on the results obtained for a family of multipoint boundary value problems with an integral condition for a system of ordinary integro-differential equations, conditions for the existence of classical solutions of a nonlocal multipoint problem for a fourth-order partial differential equation system are established.

Keywords and phrases: system of fourth-order partial differential equations, nonlocal multipoint problem, family of multipoint boundary value problems with integral conditions, system of ordinary integrodifferential equations, solvability.

MSC: 34B08, 34B10, 35G46, 35L57, 35S11, 45J05

Received: 30.07.2019

Language: English

DOI: 10.32523/2077-9879-2020-11-3-08-20