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Periodic Boundary Value Problems for Functional Differential Equations

Periodic Boundary Value Problems for Functional Differential Equations
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摘要 为非线性的功能的微分方程的周期的边界价值问题当更低、上面的答案满足了正式或反向的顺序时,最大、最小的答案的 discussed.The 存在被获得。 The periodic boundary value problems for nonlinear functional differential equa- tions was discussed.The existence of maximal and minimal solutions was obtained when the lower and upper solutions satisfied the formal or reverse order.
作者 QIAi-qin CAO Li
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期244-251,共8页 数学季刊(英文版)
基金 Supported by the Education Department Foundation of Shandong Province(J07WH01)
关键词 周期边值问题 泛函微分方程 泛函差分方程 非线性 periodic boundary value problem monotone iterative technique maximal andminimal solutions
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参考文献5

  • 1LAKSHMIKANTHAM V,ZHANG Bing-gen.Monotone iterative technique for delay differential equations[J].Applicable Analysis 1986,22:227-233.
  • 2CHEN Yu-bo,ZHUANG Wan.On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations[J].Nonlinear Analysis,Theory,Method and Applications,1994,22:295-303.
  • 3HADDOCK J R,NKASHAMA M N.Periodic boundary value problems and monotone iterative methods for functional differential equations[J].Nonlinear Analysis,Theory,Methods and Applications,1994,22:267-276.
  • 4HU Shou-chuan,LEELA S.Periodic boundary value problems for integro-differential equations of hammerstein type[J].J Appl Math Comput,1988,25:29-38.
  • 5HU Shou-chuan,LAKSHMIKANTHAM V.Periodic Boundary value problems for second order integrodifferential equations of volterra type[J].J Appl Anal,1986,21:199-205.

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