Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay

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摘要

This paper deals with the controllability of a class of impulsive neutral stochastic functional differential inclusions with infinite delay in an abstract space. Sufficient conditions for the controllability are derived with the help of the fixed point theorem for discontinuous multi-valued operators due to Dhage. An example is provided to illustrate the obtained theory.

论文关键词:34A37,60H20,93B05,Controllability,Multi-valued map,Impulsive neutral stochastic functional differential inclusion,Infinite delay,Mild solution

论文评审过程:Received 8 May 2009, Revised 7 October 2010, Available online 25 November 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.10.051