Existence and regularity of solutions to nonlocal retarded differential equations

被引：12
作者：
Dubey, Shruti A. [1 ]
Bahuguna, Dhirendra [2 ]
机构：
[1] Univ Toulouse, CNRS, LAAS, Toulouse, France
[2] Indian Inst Technol, Kanpur 208016, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期
关键词：
Retarded differential equation; Nonlocal history conditions; C-0; semigroup; Mild; Strong and classical solutions; SEMILINEAR INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEM; UNIQUENESS;
D O I：
10.1016/j.amc.2009.08.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the existence and uniqueness of different types of solutions to a class of semi-linear retarded differential equations with nonlocal history conditions are obtained by a fixed point argument. Also finite dimensional approximation of these solutions in a Hilbert space is established. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2413 / 2424
页数：12
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