A. T. Assanova, A. E. Imanchiev, “On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations”, Eurasian Math. J., 2015, Volume 6, Number 4,Pages <nobr>19

This article is cited in 11 papers

On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations

A. T. Assanova^a, A. E. Imanchiev^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, K. Zhubanov Aktobe Regional State University, 34 A. Moldagulova St., Aktobe 030000, Kazakhstan

Abstract: A nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations is investigated. Based on the results for linear problems coefficient conditions are established ensuring the existence of classical solutions to nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations, and algorithms of finding these solutions are suggested.

Keywords and phrases: nonlocal problem, multi-point condition, quasi-linear hyperbolic equation, solvability.

MSC: 35L20, 35L55, 34B08, 35L72

Received: 18.06.2015

Language: English