Controllability of measure driven evolution systems with nonlocal conditions

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• 作者：Yueju Cao^a ; ^b ; Jitao Sun ; ^b ; ^{sunjt@sh163.net} ; ^{sunjt@tongji.edu.cn}
• 关键词：Measure differential equations ; Semilinear evolution equations ; Controllability ; Lebesgue&ndash ; Stieltjes integral ; Measure of noncompactness
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：299
• 期：Complete
• 页码：119-126
• 全文大小：359 K
• 卷排序：299

文摘

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.