Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

Date

2017-07-06

Authors

Assanova, Anar

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions. The original problem is reduced to an equivalent problem consisting of the Goursat problems for a hyperbolic equation with parameters and the boundary value problem with integral condition for the ordinary differential equations with respect to the parameters. Based on the algorithms for finding solutions to the equivalent problem, we propose algorithms for finding the approximate solutions, and prove their convergence. Coefficient criteria for the unique solvability of nonlocal problem with integral conditions for hyperbolic equation with mixed derivative are also established.

Description

Keywords

Hyperbolic equation, Nonlocal problem, Integral condition, Algorithm, Approximate solution

Citation

Assanova, A. T. (2017). Solvability of a nonlocal problem for a hyperbolic equation with integral conditions. <i>Electronic Journal of Differential Equations, 2017</i>(170), pp. 1-12.

Rights

Attribution 4.0 International

Rights Holder

Rights License