Well-posedness of a periodic boundary value problem for the system of hyperbolic equations with delayed argument

被引：12

作者：

Assanova, A. T. ^{[1
,2
,3
]}

Iskakova, N. B. ^{[4
]}

Orumbayeva, N. T. ^{[5
,6
]}

机构：

[1] Inst Math & Math Modeling CS MES RK, Phys Math Sci, Alma Ata, Kazakhstan

[2] Inst Math & Math Modeling CS MES RK, State Tax Serv, Alma Ata, Kazakhstan

[3] Inst Math & Math Modeling CS MES RK, Alma Ata, Kazakhstan

[4] Abai Kazakh Natl Pedag Univ, Alma Ata, Kazakhstan

[5] Ye A Buketov Karaganda State Univ, Phys Math Sci, Karaganda, Kazakhstan

[6] Ye A Buketov Karaganda State Univ, Dept Math Anal & Differential Equat, Karaganda, Kazakhstan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2018年 / 89卷 / 01期

关键词：

periodic boundary value problem; system of hyperbolic equations; delayed argument; family of periodic boundary value problems; system of differential equations with delayed argument; algorithm; unique solvability; well-posedness;

D O I：

10.31489/2018M1/8-14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The periodic boundary value problem for the system of hyperbolic equations with delayed argument is considered. By method of introduction a new functions the investigated problem reduce to an equivalent problem, consisting the family of periodic boundary value problem for a system of differential equations with delayed argument and integral relations. Relationship of periodic boundary value problem for the system of hyperbolic equations with delayed argument with the family of periodic boundary value problems for the system of ordinary differential equations with delayed argument is established. Algorithms for finding solutions of the equivalent problem are constructed and their convergence is proved. Sufficient and necessary conditions of well-posedness of periodic boundary value problem for the system of hyperbolic equations with delayed argument are obtained.

引用

页码：8 / 14

页数：7

共 8 条

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