Nonlocal Problem for Fourth-Order Loaded Hyperbolic Equations

被引：2

作者：

Abdikalikova, G. A. ^{[1
]}

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

Shekerbekova, Sh. T. ^{[3
]}

机构：

[1] Zhubanov Aktobe Reg Univ, Aktobe 030000, Kazakhstan

[2] Inst Math & Math Modeling, Alma Ata 050012, Kazakhstan

[3] Abai Kazakh Natl Pedag Univ, Alma Ata 050012, Kazakhstan

来源：

RUSSIAN MATHEMATICS | 2022年 / 66卷 / 08期

关键词：

fourth-order loaded hyperbolic equation; nonlocal problem; system of loaded hyperbolic equations; problem with parameter; algorithm; solvability; BOUNDARY-VALUE-PROBLEMS; DIRICHLET PROBLEM; WELL-POSEDNESS; SOLVABILITY; SYSTEMS;

D O I：

10.3103/S1066369X22080011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the nonlocal problem for fourth-order loaded hyperbolic equations with two independent variables. This problem is reduced to an equivalent problem consisting of a nonlocal problem for a system of loaded hyperbolic equations of the second order with functional parameters and integral relations by the method of introducing new unknown functions. Algorithms for finding solution to the equivalent problem are proposed. Conditions for well-posedness to the nonlocal problem for the system of loaded hyperbolic equations of the second order are obtained. Conditions for the existence of a unique classical solution to the nonlocal problem for fourth-order loaded hyperbolic equations are established.

引用

页码：1 / 18

页数：18

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