On Stability of Hyperbolic-Elliptic Differential Equations with Nonlocal Integral Condition

被引：1

作者：

Ashyralyev, Allaberen ^{[1
]}

Ozger, Zeynep Odemis ^{[1
]}

Ozger, Faruk ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012) | 2012年 / 1470卷

关键词：

Hyperbolic-Elliptic equations; Nonlocal integral condition; Stability estimates; Applications; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1063/1.4747642

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlocal boundary value problem for hyperbolic-elliptic equations u(tt)(t) + Au(t) = f (t), 0 <= t <= 1, -u(tt)(t) + Au(t) = g(t), - 1 <= t <= 0, u(-1) = integral(1)(0) alpha(s)u(s)ds + psi, u(0) = phi in a Hilbert space H with the self-adjoint positive definite operator A is considered. The stability estimates for the solution of this problem are established. To validate the main result, some stability estimates for solutions of the mixed-type boundary value problems for hyperbolic-elliptic equations are given.

引用

页码：73 / 76

页数：4

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