Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 565-572.
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(Department of Mathematics, Shandong University, Jinan 250100)
Online:
Published:
Abstract:
In this paper, by use of the fixed point theory, the existence of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces is investigated, and the results in [1] are extended.
Key words: Impulsive integro-differential, Banach spaces, Initial value problem, Measure of noncompactness.
CLC Number:
Zhang Jinqing. Solutions of Second Order Impulsive Integro-Differential Equations in Banach Spaces[J].Acta mathematica scientia,Series A, 1999, 19(5): 565-572.
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１ ＧｕｏＤａｊｕｎ．ＩｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｓｅｃｏｎｄｏｒｄｅｒｉｍｐｕｌｓｉｖｅｉｎｔｅｇｒｏｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｉｎＢａｎａｃｈＳｐａｃｅｓ．ＣｈｉｎＡｎｎｏｆＭａｔｈ，１９９７，１８Ｂ（４）：４３９－４４８ ２ ＧｕｏＤａｊｕｎ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＬｉｕＸ．Ｎｏｎｌｉｎｅａｒｉｎｔｅｇｒａｌｅｑｕａｔｉｏｎｓｉｎａｂｓｔｒａｃｔｓｐａｃｅｓ．Ｄｏｒｄｒｅｃｈｔ：ＬＫｌｕｗｅｒＡｃａｄｅｍｉｃＰｕｂｌｉｓｈｅｒｓ，１９９６ ３ ＧｕｏＤａｊｕｎ．ＥｘｉｓｔｅｎｃｅｏｆｓｏｌｕｔｉｏｎｓｏｆｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｎｏｎｌｉｎｅａｒｓｅｃｏｎｄｏｒｄｅｒｉｍｐｕｌｓｉｖｅｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｉｎＢａｎａｃｈＳｐａｃｅｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９４，１８１：４０７－４２１ ４ 郭大钧．非线性泛函分析．济南：山东科技出版社，１９８５ ５ Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＢａｉｎｏｖＤＤ，ＳｉｍｅｏｎｏｖＰＳ．Ｔｈｅｏｒｙｏｆｉｍｐｕｌｓｉｖｅｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＷｏｒｌｄＳｉｎｇａｐｏｒｅ，１９８９ ６ ＭａｒｔｉｎＲ Ｈ．ＮｏｎｌｉｎｅａｒｏｐｅｒａｔｏｒｓａｎｄｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｉｎＢａｎａｃｈＳｐａｃｅｓ．Ｎｅｗ Ｙｏｒｋ：Ｗｉｌｅｙ，１９７６
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