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.
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页码：75 / 89
页数：15
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