| Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces |
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| 作者姓名： | 陈芳启 田瑞兰 |
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| 作者单位： | SchoolofSciences,TianjinUniversity,Tianjin300072,China |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina(No.10251001)andLiuhuiCenterforAppliedMathematics,NankaiUniversityandTianjinUniversity. |
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| 摘 要： | In this paper, the existence of solutions is studied for nonlinear impulsive Volterra integral equations with infinite moments of impulse effect on the half line R^ in Banach spaces. By the use of a new comparison result and recurrence method, the new existence theorems are achieved under a weaker compactness-type condition, which generalize and improve the related results for this class of equations with finite moments of impulse effect on finite interval and infinite moments of impulse effect on infinite interval.
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| 关 键 词： | 非线性积分方程 Banach空间 存在性定理 循环方法 |
Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces |
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| CHEN Fangqi,TIAN Ruilan.Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces[J].Transactions of Tianjin University,2005,11(2):152-155. |
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| Authors: | CHEN Fangqi TIAN Ruilan |
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| Abstract: | In this paper, the existence of solutions is studied for nonlinear impulsive Volterra integral equations with infinite moments of impulse effect on the half line R~+ in Banach spaces.By the use of a new comparison result and recurrence method, the new existence theorems are achieved under a weaker compactness-type condition, which generalize and improve the related results for this class of equations with finite moments of impulse effect on finite interval and infinite moments of impulse effect on infinite interval. |
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| Keywords: | nonlinear impulsive Volterra integral equation Tonelii's method extremal solutions |
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