A. T. Assanova, A. P. Sabalakhova, “On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations”, Eurasian Math. J., 2018, Volume 9, Number 3,Pages <nobr>14

On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations

A. T. Assanova^a, A. P. Sabalakhova^b

^a Department of Differential Equations, Institute of Mathematics and Mathematical Modeling MES RK, 125 Pushkin St, 050010 Almaty, Kazakhstan
^b Faculty of Physics and Mathematics, M. Auezov South-Kazakhstan State University, 5 Tauke Khan St, 160012 Shymkent, Kazakhstan

Abstract: A nonlocal problem with integral conditions for a hybrid system of partial differential equations is investigated. Based on the results for nonlocal problems for a system of hyperbolic equations coefficient conditions are established ensuring the existence of classical solutions to a nonlocal problem with integral conditions for a hybrid system of partial differential equations, and algorithms of finding such solutions are suggested.

Keywords and phrases: hybrid system, nonlocal problem, integral condition, solvability, algorithm.

MSC: 34A38, 34B10, 34K34, 35G45, 35L50

Received: 28.10.2016

Language: English

DOI: 10.32523/2077-9879-2018-9-3-14-24