Existence of solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions

被引：3

作者：

Yan, Zuomao ^{[1
]}

Wei, Ping ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

AEQUATIONES MATHEMATICAE | 2010年 / 79卷 / 03期

关键词：

Nonlinear functional integrodifferential evolution equations; fixed point; resolvent operators; nonlocal conditions; CAUCHY-PROBLEM; BANACH-SPACES; RESOLVENT OPERATORS;

D O I：

10.1007/s00010-010-0017-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of mild solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by using the theory of resolvent operators and Leray-Schauder nonlinear alternative.

引用

页码：213 / 228

页数：16

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