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

被引：0
|
作者：
Nouri Boumaza
Billel Gheraibia
机构：
[1] Larbi Tebessi University,Department of Mathematics and computer Science
[2] Larbi Ben M’Hidi University,Department of Mathematics and Computer Science
来源：
Boletín de la Sociedad Matemática Mexicana | 2020年 / 26卷
关键词：
Nonlinear hyperbolic equation; Faedo–Galerkin’s method; Integro-differential equation; Integral boundary condition; Local existence; 35L70; 35R09; 35A01;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：521 / 534
页数：13
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