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奇异半正二阶脉冲Dirichlet边值问题的正解 被引量：2

Positive Solution of Semipositone Singular Dirichlet Boundary Value Problems for Second Order Impulsive Differential Equations
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摘要 该文利用锥不动点定理讨论了奇异半正二阶脉冲Dirichlet边值问题正解的存在性. In this paper,the existence of positive solution to semipositone singular Dirichlet boundary value problems with impulsive effects is discussed.Our analysis relies on a cone fixed point theorem.
作者 盖永杰 蒋达清 祖力 翁世有 魏君
机构地区 长春大学理学院 东北师范大学数学与统计学院 苏州市职业大学基础部 吉林大学农业部
出处 《数学物理学报（A辑）》 CSCD 北大核心 2009年第5期1415-1425,共11页 Acta Mathematica Scientia
基金 国家自然科学基金(10571021)资助
关键词 脉冲微分方程 奇异边值问题 半正问题 锥不动点定理 Impulsive differential equation Singular boundary value problem Semipositone problem Fixed point theorem in cones
分类号 O211.4 [理学—概率论与数理统计]
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参考文献13

  • 1Agarwal R P, O'Regan D. Multiple nonnegative solutions for second order impulsive differential equations. Appl Math Comput, 2000, 114:51-59.
  • 2Lin X N, Jiang D Q. Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations. J Math Anal Appl, 2006, 321:501-514.
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同被引文献17

  • 1李永祥.抽象半线性发展方程初值问题解的存在性[J].数学学报（中文版）,2005,48(6):1089-1094. 被引量：66
  • 2余庆余.半序Banach空间中凝聚映射及其正不动点[J].兰州大学学报：自然科学版,1979,(2):1-5.
  • 3Laksllmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations [ M ]. Singapore : World Scientific, 1989 : 1 - 265.
  • 4Lin X N, Jiang D Q. Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equa- tions[J]. Math Anal Appl,2006,321:501 -514.
  • 5Lee E K, Lee Y H. Multiple positive solutions of singular two point boundary value problems for second order impulsive differenti- al equation[J]. Appl Math Comput,2004,158:745 -759.
  • 6Li Z, Jiang D Q, Donal O R. Existence theroy for multiple solutions tosemipositone Dirichlet boundary value problems with singular dependent nonlinearities for second- order impulsive differential equations [ J ]. Appl Math Comput ,2008,195:240 -255.
  • 7Heinz H P. On the behaviour of measure of noncompaetness with respect to differentiation and integration of rector - value func- tions[ J]. Nonlinear Anal, 1983,7:1351 - 1371.
  • 8李永祥,郭长辉.有序Banach空间非线性二阶边值问题的正解[J].兰州大学学报（自然科学版）,2008,44(6):120-123. 被引量：5
  • 9高云风,闫宝强.半正奇异边值问题二阶脉冲微分方程正解的存在性[J].应用泛函分析学报,2009,11(2):178-183. 被引量：3
  • 10高云风,闫宝强.半正奇异Dirichlet边值问题二阶脉冲微分方程正解的存在性[J].科学技术与工程,2009,9(14):4107-4110. 被引量：2

引证文献2

二级引证文献5

数学物理学报（A辑）
2009年 第5期

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