The method of lines applied to nonlinear nonlocal functional differential equations

被引：13

作者：

Dubey, Shruti A. ^{[1
]}

机构：

[1] Univ Toulouse, LAAS, CNRS, Toulouse, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 01期

关键词：

Nonlocal problem; Accretive operator; Strong solution; Method of lines; INTEGRODIFFERENTIAL EQUATIONS; INTEGRAL CONDITIONS; CAUCHY-PROBLEM; BANACH-SPACES; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.10.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses nonlinear functional differential equation in a real reflexive Banach space with nonlocal history condition. By using the method of lines, the existence and uniqueness of a strong solution are established. Finally, some applications of the abstract results are presented. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：275 / 281

页数：7

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