ON A NONLINEAR ABSTRACT VOLTERRA EQUATION

被引：0

作者：

Emmrich, Etienne ^{[1
]}

Vallet, Guy ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] CNRS, UMR 5142, Lab Math & Applicat Pau, IPRA BP 1155, F-64013 Pau, France

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2016年 / 28卷 / 01期

关键词：

Nonlinear Volterra equation; time discretization; existence;

D O I：

10.1216/JIE-2016-28-1-75

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of solutions is shown for equations of the type Av + B(KGv, v) = f, where A, B and G are possibly nonlinear operators acting on a Banach space V, and K is a Volterra operator of convolution type. The proof relies on the convergence of a suitable time discretization scheme.

引用

页码：75 / 89

页数：15

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