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单调迭代法与一阶脉冲泛函微分方程周期边值问题 被引量：4

Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations
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摘要 本文利用单调迭代法与上下解方法,研究了一阶脉冲泛函做分方程周期边值问题最大解与最小解的存在性. This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations.
作者 何智敏 葛渭高
机构地区 中南大学数学科学与计算技术学院 北京理工大学应用数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2005年第1期171-176,共6页 Acta Mathematica Sinica：Chinese Series
关键词 单调迭代法 脉冲泛函微分方程 周期边值问题 解的存在性 最大解 最小解 上下解方法 Impulsive functional differential equation Periodic boundary value problem Monotone iterative technique
分类号 O175 [理学—基础数学] O177.91 [理学—基础数学]
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参考文献20

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  • 2Bainov D D, Simenov P S, Impulsive differential equations: periodic solutions and applications, Longman: Harlow, 1993.
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同被引文献17

  • 1张凤琴,马知恩,李美丽.一阶脉冲微分方程的非齐次边值问题[J].工程数学学报,2005,22(1):40-46. 被引量：2
  • 2贾梅,刘锡平.共振条件下具p-Laplace算子两点边值问题解的存在性[J].黑龙江大学自然科学学报,2006,23(4):479-482. 被引量：1
  • 3Laddle G S, Lakshmikantham V, Vatasala A S. Monotone Iterative Technique for Nonlinear Differential Equations[M]. Pitman Advance Publishing Program, Bostone, 1985.
  • 4Hristova G S, Bainov D D. Application of the monotone iterative techniques of Lakshmikantham to the solution of the initial value problem for functional differential equations[J]. J Math Phy Sci, 1990, 24: 405-413.
  • 5Eduardo L. Periodic boundary value problems for a class of functional differential equations[J]. J Math Anal Appl,1996, 200: 680-686.
  • 6Lakshmikantham V, Binov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. World Scientific,Singapore, 1989,.
  • 7Dajun Guo, Xinzhi Liu. Extremal solutions of nonlinear impulsive integrodifferential equations in Banach Space[J].J Math Anal Appl, 1993, 177:538-552.
  • 8Xinzhi Liu. Monotone iterative technique for impulsive differential equations in a Banach space[J]. Appl Math Phy Sci, 1990, 24: 183-191.
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  • 10JIANG D, WEI J. monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations [ J ], Nonlinear Analysis, 2002 (50) : 885 - 898.

引证文献4

二级引证文献2

数学学报（中文版）
2005年 第1期

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