Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions

被引：6

作者：

Xie, Shengli ^{[1
]}

机构：

[1] Anhui Univ Architecture, Dept Math & Phys, Hefei 230022, Anhui, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

integro-differential functional evolution equation; mild solution; nonlocal conditions; fixed point; Banach spaces; MILD SOLUTIONS; CAUCHY-PROBLEM; CONTROLLABILITY;

D O I：

10.1186/1687-2770-2012-100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Monch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach spaces. Some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, and compactness conditions of evolution operators or compactness conditions on a nonlinear term have been weakened. Our results extend and improve many known results.

引用

页数：8

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