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一类四阶奇异微分方程正周期解的存在性 被引量：1

Existence of Positive Periodic Solutions for A Class of Singular Four-Order Differential Equation
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摘要 研究了一类四阶奇异微分方程,利用Green函数和Leray-Schauder选择原理,证明了此类方程正周期解的存在性. In this paper, we consider a class of singular four-order differential equations. By using Green＇s function and Leray-Schauder alternative principle theorem, the existence of positive periodic solutions is obtained.
作者 韩卫卫
机构地区 商丘学院应用科技学院
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 北大核心 2016年第2期184-188,193,共6页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671168) 河南省软科学研究计划项目(142400411390)
关键词 四阶奇异微分方程 正周期解 选择原理 GREEN函数 singular four-order differential equation positive periodic solutions alternative principle theorem Green＇s function
分类号 O175.4 [理学—基础数学]
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参考文献11

  • 1Ddel Pino M, Manhsevich R. Infinitely many T-periodic solutions for a problem Ariding in nonlinear elasticity [J]. J Differential Equations, 1993,103 : 260-277.
  • 2Rachunkova I,Tvrdy M,Vrkoc I. Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems [J]. J Differential Equations, 2001,176 : 445-469.
  • 3Torres P J. Weak singularities may help periodic solutions to exist [J]. J Differential Equations. 2007,232:277-284.
  • 4Chu J F,Zhou Z C. Positive solutions for singular non-linear third-order periodic boundary value problems [J]. Nonlinear Anal TMA,2006,64 : 1528-1542.
  • 5Zhang M R. A relationship between the periodic and the Dirichlet BVPs of singular differential equations [J]. Proc Roy Soc Edinburgh Sect AI, 1998,28 : 1099-1114.
  • 6Palamides A P,Smyrlis G. Positive solutions to a singular third-order three-point boundary value problem with all indefi nitely signed Green' s function [J]. Nonlinear Anal TMA, 2008,68 : 2014-21 18.
  • 7Tang X H,Jiang J C. Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems [J]. Comput Math Appl,2010,58:3646-3655.
  • 8Sun Y P. Positive solution of singular third-order three-point boundary value problem [J]. J Math AnaL1 Appl,2005, 306 : 586-603.
  • 9Wang Q,Dai B X. Three periodic solutions of nonlinear neutral functional differential equations [J]. Nonlinear Anal RWA, 2008(9) : 977-984.
  • 10Wu J,Liu Y C. Two periodic solutions of neutral difference systems depending on two parameters [J]. J Comput Appl Math, 2007,206:713-725.

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内蒙古师范大学学报（自然科学汉文版）
2016年 第2期

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