期刊文献+

一类时滞微分方程周期边值问题及其最大最小解

Periodic boundary value problems for differential equations with arguments
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摘要 将上下解方法与单调迭代技巧应用于研究一类时滞微分方程,在正向及反向上下解两种情形下分别讨论了该类方程周期边值问题最大最小解的存在性. The existence of maximal and minimal solutions for periodic boundary value problems involving nonlinear differential equations with arguments is studied by establishing the new comparison inequalities with lower and upper solutions in both formal and reverse order.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2007年第7期66-71,共6页 Journal of Shandong University(Natural Science)
关键词 下解 比较定理 周期边值问题 最大 最小解 upper and lower solution comparison inequality periodic boundary value problem maximal and minimal solutions
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参考文献4

  • 1J R Haddock,M N Nkashama.Periodic boundary value problems and monotone iterative methods for functional differential equations[J].Nonlinear Analysis,Theory,Methods and Applications,1994,22:267 -276.
  • 2CHEN Yubo,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.
  • 3V Lakshmikantham,ZHANG B G.Monotone iterative technique for delay differential equations[J].Applicable Analysis,1986,22:227 -233.
  • 4HU S,Leela S.Periodic boundary value problems for integro-differential equations of Hammerstein type[J].J Appl Math Comput,1988,25:29 -38.

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