具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性(英文)  

Controllability of Nonlinear Stochastic Impulsive Functional Differential Inclusions with Hille-Yosida Operators

作　　者：李燕[1] 胡军浩[2] 

机构地区：[1]华中农业大学理学院,湖北武汉430070 [2]中南民族大学数学与统计学院,湖北武汉430074

出　　处：《应用数学》2013年第1期104-113,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China under Grant(60904005);the Hubei Provincial Natural Science Foundation of China under Grant(2009CDB026)

摘　　要：本文研究具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性.假设多值非线性和脉冲函数满足由非紧性测度表示的正则性条件,利用非紧性测度理论和多值凝聚不动点定理,得到这类微分包含的可控性的充分条件.In this paper,the controllability of nonlinear stochastic impulsive functional differential inclusions with Hille-Yosida operators is investigated. Assuming that the multivalued nonlinearity and impulsive function satisfy the regularity conditions expressed in terms of the measures of non- compactness,the sufficient conditions for the controllability of these inclusions are obtained by using the theory of the measure of noncompactness and the fixed-point theorem of condensing multivalued map.

关 键 词：可控性 随机微分包含 脉冲 不动点 非紧性测度 

分 类 号：O175[理学—数学]