| PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES |
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| 引用本文： | Liu Xinzhi,Guo Dajun. PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES[J]. 数学年刊B辑(英文版), 1998, 19(4): 517-528 |
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| 作者姓名： | Liu Xinzhi Guo Dajun |
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| 作者单位： | LIU XINZHI;(Department of Applied Mathematics，University of Waterloo，Waterloo，Ontario，Canada NZL 3GI.)GUO DAJUN ;(Department of Mathematics，Shandong Universityl Jinan 250100，China.) |
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| 摘 要： | 1.IntroductionInthispaper,weinvestigatetheperiodicboundaryvalueproblem(PBVP)forfirstordernonlinearimpulsiveintegro-differentialeauationsofmixedtypeinaBanachspaceE:wherefEC[JxExExE,E],J=[0,2r]ticECIE,E](k=1,2,',m:KECID,R ],D={(t,s)EJxJ:t2s},HEC[JxJ,R ],R denotesthesetofallnonnegativenumbers,and0
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| 关 键 词： | 周期边值问题 脉冲积分-微分方程 有序巴拿赫空间 最大解 最小解 |
| 收稿时间： | 1996-01-05 |
| 修稿时间： | 1996-04-08 |
PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES |
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| Liu Xinzhi and Guo Dajun. PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES[J]. Chinese Annals of Mathematics,Series B, 1998, 19(4): 517-528 |
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| Authors: | Liu Xinzhi and Guo Dajun |
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| Affiliation: | [1]DepartmentofAppliedMathematics,UniversityofWaterloo,Waterloo,Ontario,CanadaN2L3G1 [2]DepartmentofMathematics,ShandongUniversity,Jinan250100,China |
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| Abstract: | This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained. |
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| Keywords: | Periodic boundary Value problem Impulsive integro-differential equation Ordered Banach space Maximal solution Minimal solution |
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