一类脉冲分数阶半线性泛函微分方程的弱解的存在性(英文)  

Existence of Mild Solutions for Impulsive Fractional Order Semilinear Functional Differential Equations

作　　者：蒋和平[1] 蒋威[2] 丁文国[1] 

机构地区：[1]黄山学院数学系,安徽黄山245041 [2]安徽大学数学科学学院,安徽合肥230039

出　　处：《数学研究》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)

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

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 

分 类 号：O175[理学—数学]