On a Solution of a Nonlinear Nonlocal Boundary Value Problem for one Class of Hyperbolic Equation

被引：5

作者：

Abdimanapova, P. B. ^{[1
,2
]}

Temesheva, S. M. ^{[1
,3
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Dept Math, Alma Ata 050040, Kazakhstan

[2] Almaty Technol Univ, Dept Higher Math & Phys, Alma Ata 050012, Kazakhstan

[3] Inst Math & Math Modeling, Dept Differential Equat, A26G7T4, Alma Ata 050010, Kazakhstan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 07期

关键词：

nonlocal boundary value problem; family of nonlinear boundary value problems; integral-differential equation; sufficient conditions; isolated solution; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; UNIQUE SOLVABILITY; WELL-POSEDNESS; SYSTEMS;

D O I：

10.1134/S1995080223070028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2529 / 2541

页数：13

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