Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution

被引：18

作者：

Dzhumabaev, Dulat S. ^{[1
,2
]}

机构：

[1] MES RK, Inst Math & Math Modeling, Dept Differential Equat, 125 Pushkin Str, Alma Ata 050010, Kazakhstan

[2] Int Informat Technol Univ, Dept Math & Comp Modeling, 34A Dzhandossov Str, Alma Ata 050034, Kazakhstan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 01期

关键词：

Loaded hyperbolic equations; General solution; Solvability criteria; Algorithm;

D O I：

10.1016/j.jmaa.2017.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article introduces a new general solution to a family of loaded ordinary differential equations and discusses its properties. It provides necessary and sufficient conditions for the well-posedness of a linear nonlocal boundary value problem for a system of loaded hyperbolic equations with mixed derivatives. Algorithms for solving the boundary value problems for loaded differential equations are proposed. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：817 / 836

页数：20

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