| SOLUTIONS FOR SECOND ORDER IMPULSIVE INTEGRO- DIFFERENTIAL EQUATION ON UNBOUNDED DOMAINS IN BANACH SPACES |
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| 引用本文： | 陈芳启,田瑞兰,陈予恕. SOLUTIONS FOR SECOND ORDER IMPULSIVE INTEGRO- DIFFERENTIAL EQUATION ON UNBOUNDED DOMAINS IN BANACH SPACES[J]. 应用数学和力学(英文版), 2006, 27(6): 721-729. DOI: 10.1007/s 10483-006-0602-1 |
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| 作者姓名： | 陈芳启 田瑞兰 陈予恕 |
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| 作者单位： | School of Science Nanjing University of Aeronautics and Austronautics Nanjing 210016，P. R. China Department of Mechanics，Tianjin University，Tianjin 300072，P. R. China，Department of Mechanics Tianjin University，Tianjin 300072，P. R. China，Department of Mechanics Tianjin University，Tianjin 300072，P. R. China |
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| 基金项目： | 中国科学院资助项目;南京航空航天大学校科研和教改项目 |
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| 摘 要： | Under loose conditions, the existence of solutions to initial value problem are studied for second order impulsive integro-differential equation with infinite moments of impulse effect on the positive half real axis in Banach spaces. By the use of recurrence method, Tonelii sequence and the locally convex topology, the new existence theorems are achieved, which improve the related results obtained by Guo Da-jun.
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| 关 键 词： | 积分微分方程 极大域 BANACH空间 冲量效应 |
| 收稿时间： | 2005-03-15 |
| 修稿时间： | 2006-02-28 |
Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces |
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| Fang-qi Chen Doctor,Rui-lan Tian,Yu-shu Chen. Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(6): 721-729. DOI: 10.1007/s 10483-006-0602-1 |
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| Authors: | Fang-qi Chen Doctor Rui-lan Tian Yu-shu Chen |
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| Affiliation: | 1. School of Science, Nanjing University of Aeronautics and Austronautics, Nanjing 210016, P. R. China;Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China |
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| Abstract: | Under loose conditions, the existence of solutions to initial value problem are studied for second order impulsive integro-differential equation with infinite moments of impulse effect on the positive half real axis in Banach spaces. By the use of recurrence method, Tonelii sequence and the locally convex topology, the new existence theorems are achieved, which improve the related results obtained by Guo Da-jun. |
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| Keywords: | impulsive integro-differential equation Tonelii sequence locally convex topology measure of noncompactness |
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