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空间中高阶常微分方程周期边值问题的解的存在性(英文)

Existence of Solutions for the Periodic Boundary Value Problem of High Order Ordinary Differential Equations in Banach Spaces
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摘要 利用单调迭代方法 ,本文获得了 Banach空间中高阶常微分方程周期边值问题的解的存在性结果 ,推广了文 [3 In virtue of the monotone iterative method, we obtain the existence of solutions for periodic boundary value problems of nth order ordinary differential equations in Banach spaces. The result of is extended in this paper.
作者 洪世煌
机构地区 海南大学数理系
出处 《工科数学》 2002年第2期1-6,共6页 Journal of Mathematics For Technology
基金 Project supported by the Natural Science Foundation of Hainan province (1 0 1 0 2 )
关键词 BANACH空间 高阶常微分方程 周期边值问题 存在性 单调迭代算子 不动点 最大解 最小解 monotone iterative operator, fixed point, maximum and minimum solution.
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参考文献6

  • 1Ladde G S, Lakshmikantham V and Vatasla A S, Monotone iterative techniques for nonlinear differential equations[M], Pitmam Publishing, Boston, 1985, 被引量:1
  • 2Lakshmikantham V, Nieto J J and Sun Y. An existence result about periodic boundary value problems of second order differential equations[J], Applicable Analysis, 1991,41 (1) :1-10. 被引量:1
  • 3Heikkila S and Lakshmikantham V, On the second order mixed quasimonotone periodic boundary value systems in order Banach spaces[J]. Nonlinear Anal, , 1993, 20(91): 1135-1144. 被引量:1
  • 4Alberto Cabada. The method of lower and upper solutions for third order periodic boundary value problems[J]. J.Math, Anal. Appl. , 1995(195):568-589. 被引量:1
  • 5Hu Shigeng. Nonlinear analysis[M]. Huazhong University of sicence and technology Publishing, 1996 (in Chinece), 被引量:1
  • 6Yosida K. Functional Analysis[M]. Springer-Verlag, Berlin, 1972. 被引量:1

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