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泛函微分方程的Mawhin定理

Mawhin's Theorem for Nonlinear Functional Differential Equations
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摘要 利用Liapunov-Schm idt方法和拓扑度理论,将Mawhin关于常微分方程周期解的存在性结果推广到具有超前和滞后的泛函微分方程上. Using Liapunov-Schmidt method and topological degree theory, we proved some results for the existence of periodic solutions of nonlinear functional differential equations.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2006年第6期903-904,共2页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10501017)
关键词 Liapunov-Schmidt方法 拓扑度理论 周期解 Liapunov-Schmidt method topological degree theory periodic solutions
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参考文献6

  • 1Cesaro L.Nonlinear Problems Across a Point of Resonance for Nonlinear Analysis[M].New York:Academic Press,1978.
  • 2Cesaro L.Functional Analysis and Periodic Solutions of Nonlinear Differential Equations[J].Contr Diff Eqs,1963,1:149-167.
  • 3Cesaro L.Alternative Methods in Nonlinear Analysis,International Conference on Differential Equations[M].New York:Academic Press,1975:95-148.
  • 4Kannan R,Ortega R.Periodic Solutions of Pendulum-type Equations[J].J Diff Eqs,1985,59:123-144.
  • 5Mawhin J.Topological Degree Methods in Nonlinear Boundary Value Problems[C]//Expository Lectures from the CBMS Regional Conference Held at Harvey Mudd College.CBMS Regional Conference Series in Mathematics,40.Providence,RI:American Mathematical Society,1979.
  • 6Mawhin J.Periodic Solutions of Nonlinear Functional Differential Equations[J].J Diff Eqs,1971,10:240-261.

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