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空间中混合单调脉冲微分-积分方程解的存在性 被引量:1

EXISTENCE OF SOLUTIONS FOR MIXED MONOTONEIMPULSIVE ITEGRO-DIFFERENTIALEQUATION IN BANACH SPACES
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摘要 利用两个新的比较结果,本文给出了Banach空间中混合单调脉冲微分-积分方程解,最小最大耦合解的存在性及单调迭代方法,改进和推广了的相应结果. By using two new comparison results, some existence theorems of solutions and coupled minimal and maximal solutions for mixed monotone impulsive integro-differential eqations in Banach spaces are obtained, which improve and generalize the related results in [1-5].
出处 《应用数学学报》 CSCD 北大核心 2004年第3期449-465,共17页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(19871048号) 山东省自然科学基金(Z2000A02号)资助项目.
关键词 混合单调 脉冲微分-积分方程 耦合解 迭代方法 微分方程 闭凸集 Mixed monotone impulsive integro-differential equation, coupled lower and upper solutions, coupled solutions, mixed monotone iterative method
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参考文献13

  • 1Liu Lishan. Iterative Method for Solutions and Coupled Quasi-solutions ofNonliear Integro-differential Equations of Mixed Type in Banach Spaces. Nonlinear Anal., 2000, 42:583-598
  • 2Guo Dajun, Liu Xinzhi. Extremal Solutions of Nonliear Impulsive Integro-differential Equations in Banach Spaces. J. Math. Anal. Appl., 1993, 177:538-552
  • 3孙经先,刘立山.Banach 空间中混合型微分-积分方程的单调迭代方法[J].系统科学与数学,1993,13(2):160-166. 被引量:28
  • 4陈芳启.Banach空间中混合单调脉冲微分-积分方程解的存在性[J].系统科学与数学,1999,19(1):111-115. 被引量:9
  • 5Lu Huiqin. Extremal Solutions of Nonlinear First Order Impulsive Integro-differential Equations in Banach Spaces. India J. Pure Appl. Math., 1999, 30(11): 1181-1197
  • 6Lakshmikantham V, Bainor D D, Simeonov P S. Theory of Impulsive Differential Equations. Singapore: World Sci. Publishin Co., 1989
  • 7郭大钧.非线性分析中的半序方法.济南:山东科学技术出版社,2000(Guo Dajun. The Semi-order Method in Nonlinear Analysis. Jinan: Technology Sci. Publish inShangdong, 2000)
  • 8Guo Dajun, Lakshmikantham V. Coupled Fixed Points of Nonlinear Operators with Applications.Nonlinear Anal., TMA, 1987, 11:623-632
  • 9Guo Dajun. Impulsive Integral Equations in Banach Spaces and Applications. J. Appl. Math. Stoch.Anal., 1992, 5:111-122
  • 10Heinz HR. On the Behavior of Measure of Noncompactness with Respect to Differentiation andItegration of Vector-valued Functions. Nonliear Anal., 1983, 7:1351-1371

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