Nonlocal Impulsive Cauchy Problems for Evolution Equations

被引：4
|
作者：
Liang, Jin [1 ]
Fan, Zhenbin [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
基金：
高等学校博士学科点专项科研基金;
关键词：
BANACH-SPACES; DIFFERENTIAL-EQUATIONS; SYSTEMS;
D O I：
10.1155/2011/784161
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed point theory, new existence theorems are obtained, which generalize and improve some previous results since neither the Lipschitz continuity nor compactness assumption on the impulsive functions is required. An application to partial differential equations is also presented.
引用
收藏
页数：17
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