On the existence of a local solution for an integro-differential equation with an integral boundary condition

被引：6

作者：

Boumaza, Nouri ^{[1
]}

Gheraibia, Billel ^{[2
]}

机构：

[1] Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa, Algeria

[2] Larbi Ben MHidi Univ, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 02期

关键词：

Nonlinear hyperbolic equation; Faedo-Galerkin's method; Integro-differential equation; Integral boundary condition; Local existence; NONLINEAR-WAVE EQUATION;

D O I：

10.1007/s40590-019-00266-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a nonlinear hyperbolic equation with a nonlocal boundary condition. We apply the Faedo-Galerkin's method to establish the local existence and uniqueness of a weak solution.

引用

页码：521 / 534

页数：14

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