Controllability of measure driven evolution systems with nonlocal conditions

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摘要

This paper investigates complete controllability of semilinear measure driven differential systems with nonlocal conditions. Without assuming the compactness of the evolution system related to the linear part of the measure system, some sufficient conditions for controllability are established by using the measure of noncompactness and the Mönch fixed point theorem. The results obtained here improve and generalize many known results.

论文关键词:Measure differential equations,Semilinear evolution equations,Controllability,Lebesgue–Stieltjes integral,Measure of noncompactness

论文评审过程:Received 9 May 2016, Revised 14 November 2016, Accepted 28 November 2016, Available online 12 December 2016, Version of Record 12 December 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.11.037