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

页码：521 / 534

页数：13

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