摘要
在本文中,我们通过利用线性算子的解析半群理论和不动点定理对一类脉冲分数阶半线性泛函微分方程的弱解的存在性进行讨论.
In this paper, we use the analytic method to prove the existence of mild solution equations in a Banach space. semigroup theory of linear operators and fixed point for impulsive fractional order functional differential
出处
《数学研究》
CSCD
2011年第4期336-346,共11页
Journal of Mathematical Study
基金
supported by the National Nature Science Foundation of China (No.11071001)
the Foundation of Education Department of Anhui province(KJ2011B167,KJ2010B217)
the Natural Science Foundation of Huangshan University(No.2010xkj014)
关键词
弱解
脉冲分数阶半线性泛函微分方程
BANACH不动点定理
解析半群
Mild solution
Impulsive fractional order semilinear functional differential equations
Banach fixed point theorem
Analytic semigroup.
