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Banach空间中一阶脉冲微分方程初值问题解的单调迭代方法 被引量：2

The Monotone Iterative Method of the Initial Value Problems for Impulsive Equations in Banach Space
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摘要 在不假定f满足非紧性测度及上下解存在的情形下,运用单调迭代方法,讨论了无穷区间上一阶脉冲微分方程初值问题解的存在性与正解的存在唯一性,对脉冲函数没有加任何单调性结果,改进了已有的结果. Neither using noncompactness measure condition,nor assuming the existence of upper and lower sohitions,the author discusses the existence and uniqueness of positive solutions on infinite, interval by way of monotone method for first-order impulsive equations. In this process, the author improves the results without assumption of monotonieity on impulsive functions.
作者 秦丽娟
机构地区 甘肃农业大学理学院
出处 《甘肃科学学报》 2011年第1期1-5,共5页 Journal of Gansu Sciences
关键词 BANACH空间 初值问题 单调迭代 正解 Banach spaces initial value problems monotone iterative positive solution
分类号 O175.25 [理学—基础数学]
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共引文献107

同被引文献17

  • 1李,秦丽娟.无穷区间上Banach空间终值问题解的存在性[J].甘肃科学学报,2005,17(1):13-15. 被引量：7
  • 2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
  • 3李永祥.抽象半线性发展方程正周期解的存在唯一性[J].系统科学与数学,2005,25(6):720-728. 被引量：11
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  • 6Ma R. Existence Theorems for a Second Order Three-point Boundary Value Problem[J]. Math. Anal. Appl, 1997,212: 430-442.
  • 7Ma R. Positive Solutions of a Nonlinear Three-point Boundary Value Problem[J]. Electron Diff. Eqns, 1999,34:1-8.
  • 8Ma R. Positive Solutions for Nonhomogeneous M-point Boundary Value Problems[J]. Appl. Math. Compu, 2004,47,689-698.
  • 9Ma R. Multiplicity of Positive Solutions for Second Order Three-point Boundary Value Problems[J]. Appl. Math. Compu, 2000,40:193- 204.
  • 10Ma R. Positive Solutions for Second-order Three-point Boundary Value Problems[J]. Appl. Math. Lett,2001,14:1-5.

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甘肃科学学报
2011年 第1期

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