On a Solution of a Nonlinear Nonlocal Boundary Value Problem for one Class of Hyperbolic Equation
Abdimanapova P.B. Temesheva S.M.
July 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 72529 - 2541 pp.
Abstract: In this paper we consider a nonlinear nonlocal boundary value problem for one class of systems of hyperbolic equations with mixed derivatives. The problem under consideration is investigated by reducing it to a family of nonlinear boundary value problems for integro-differential equations. One algorithm modification’s of D.S. Dzhumabaev parametrization method is proposed and its convergence is proved. Sufficient conditions for the existence of isolated in some set solutions of nonlinear nonlocal boundary value problem for systems of hyperbolic equations with mixed derivatives are revealed.
family of nonlinear boundary value problems , integral-differential equation , isolated solution , nonlocal boundary value problem , sufficient conditions
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Department of Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Higher Mathematics and Physics, Almaty Technological University, Almaty, 050012, Kazakhstan
Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Almaty, 050010/A26G7T4, Kazakhstan
Department of Mathematics
Department of Higher Mathematics and Physics
Department of Differential Equations
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