文章基本信息

标题：Nonlocal Impulsive Cauchy Problems for Evolution Equations
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作者：Jin Liang ; Zhenbin Fan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：784161
DOI：10.1155/2011/784161
语种：English
出版社：Hindawi Publishing Corporation
摘要：Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed point theory, new existence theorems are obtained, which generalize and improve some previous results since neither the Lipschitz continuity nor compactness assumption on the impulsive functions is required. An application to partial differential equations is also presented.
关键词：Banach Space ; Cauchy Problem ; Evolution Equation ; Fixed Point Theorem ; Mild Solution