Existence for Second Order Semilinear Impulsive Delay Integrodifferential Equations with Nonlocal Conditions  

作　　者：李美丽 宋雯 贾军国 

机构地区：[1]College of Science,Donghua University [2]Department of Mathematics,Zhengzhou University

出　　处：《Journal of Donghua University(English Edition)》2011年第5期488-490,共3页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.10971139)

摘　　要：A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness condition on the cosine family of operators,we give some sufficient conditions for the existence of mild solutions of such system.Finally,an example is presented to illustrate the utility of the proposed result.The results improve some recent results.A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions. Without imposing compactness condition on the cosine family of operators, we give some sufficient conditions for the existence of mild solutions of such system. Finally, an example is presented to illustrate the utility of the proposed result. The results improve some recent results.

关 键 词：impulsive delay integrodifferential equations nonlocal conditions mild solution 

分 类 号：O157[理学—数学]