On the existence of impulsive neutral evolution differential inclusions with infinite delay

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• 作者：Kai-Biao Lin ; Hsiang Liu ; Chin-Tzong Pang
• 关键词：condensing mapping ; evolution family ; fixed point principle ; impulsive neutral evolution differential inclusions ; infinite delay ; measure of noncompactness
• 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：1,665 KB
• 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, we use a fixed point principle regarding a condensing mapping with some measure of noncompactness. We assume there is no compactness assumption, and we give sufficient conditions for the existence of mild solutions to some classes of impulsive neutral evolution differential inclusions with infinite delay. A concrete example is presented in the end to illustrate the abstract theorem.