Approximate controllability of impulsive partial neutral stochastic functional integro-differential inclusions with infinite delay

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• 作者：Zuomao Yan ; Fangxia Lu
• 关键词：34A37 ; 60H10 ; 34K50 ; 93B05 ; approximate controllability ; impulsive partial neutral stochastic functional integro ; differential inclusions ; infinite delay ; analytic resolvent operator ; fixed point
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,374 KB
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

In this paper, the approximate controllability of partial neutral stochastic functional integro-differential inclusions with infinite delay and impulsive effects in Hilbert spaces is considered. By using H?lder’s inequality, stochastic analysis and fixed point strategy with the properties of analytic resolvent operator, a new set of sufficient conditions is formulated, which guarantees the approximate controllability of the nonlinear impulsive stochastic system. The results are obtained under the assumption that the associated linear system is approximately controllable. An example is given to illustrate our results.