| Initial Value Problems for Second Order Impulsive Integro-Differential Equation in Banach Spaces |
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| 作者姓名： | 陈芳启 张海燕 |
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| 作者单位： | DepartmentofMathematics,SchoolofSciences,TianjinUniversity,Tianjin300072,China |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina(No. 10251001)，andLiuhuiCenterforAppliedMathematics，Nankai UniversityandTianjinUniversity. |
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| 摘 要： | By an established comparison result and using the upper and lower solutions, one sufficient condition of existence of minimal and maximal solutions to initial value problem for second order impulsive integro-differential equation in Banach spaces is obtained and the related results are essentially improved. At the same time, another sufficient condition of existence of minimal and maximal solutions based on the Kuratowski measure of noncompactness is given.
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| 关 键 词： | 二次脉冲积分微分方程 初值问题 巴拿赫空间 充分条件 |
Initial Value Problems for Second Order Impulsive Integro-Differential Equation in Banach Spaces |
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| CHEN Fangqi,ZHANG Haiyan.Initial Value Problems for Second Order Impulsive Integro-Differential Equation in Banach Spaces[J].Transactions of Tianjin University,2005,11(1):73-78. |
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| Authors: | CHEN Fangqi ZHANG Haiyan |
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| Abstract: | By an established comparison result and using the upper and lower solutions,one sufficient condition of existence of minimal and maximal solutions to initial value problem for second order impulsive integro-differential equation in Banach spaces is obtained and the related results are essentially improved.At the same time, another sufficient condition of existence of minimal and maximal solutions based on the Kuratowski measure of noncompactness is given. |
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| Keywords: | impulsive integro-differential equation initial value problem comparison result |
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