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四阶p-Laplacian中立型泛函微分方程周期解的存在性 被引量：2

Existence of Periodic Solutions for a Fourth-Order p-Laplacian Neutral Functional Differential Equation
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摘要 使用中立型算子的性质及Mawhin连续性定理,研究四阶p-Laplacian中立型泛函微分方程周期解的存在性.在适当的假设条件下,得到了该方程存在周期解的充分性条件. In order to expand the researches of neutral functional differential equation,we studied a kind of periodic solutions to a fourth order p-Laplacian neutral functional differential equation.Under various assumptions,new results on the existence of periodic solutions were obtained via the theory of coincidence degree and some properties of the neutral operator.
作者 刘丙镯 刘文斌
机构地区 中国矿业大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2011年第3期430-436,共7页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10771212) 中央高校基本科研业务费专项基金(批准号:2010LKXS09)
关键词 中立型泛函微分方程 P-LAPLACIAN方程 Mawhin连续性定理 周期解 neutral functional differential equation p-Laplacian equation Mawhin continuation theory periodic solution
分类号 O175.8 [理学—基础数学]
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参考文献1

二级参考文献4

  • 1WANG Jun_yu.The existence of positive solutions for the one_dimensional p_Laplacian[].Proceedings of the American Mathematical Society.1997
  • 2Lian W C,Wong F H,Yeh C C.On the existence of positive solutions of nonlinear second order differential equations[].Proceedings of the American Mathematical Society.1996
  • 3Ma R Y,Wang H Y.On the existence of positive solutions of fourth_order ordinary differential equations[].Applicable Analysis.1995
  • 4Krasnoselskii M A.Positive Solutions of Operator Equations[]..1964

共引文献3

同被引文献15

  • 1Zhu Yanling,Lu Shiping.PERIODIC SOLUTION FOR p-LAPLACIAN DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT[J].Annals of Differential Equations,2007,23(1):119-126. 被引量：5
  • 2WANG Lianglong, WANG Zhichcng, ZOU Xingfu. Periodic Solutions of Neutral Functional Differential Equations [J]. J London MathSoc, 2002 , 65(2.) :439-452.
  • 3WANG Lianglong, WANG Zhichcng. Controllability of Abstract Neutral Functional Differential Systems with Infinite Delay [J]. Dynamics of Continuous, Discrete and Impulsive Systems, Series B:Applications & Algorithms, 2002 , 9(2.) :59-70.
  • 4LU Shiping, GUI Zhanjic, GE Wcigao. Periodic Solutions to a Sccond Order Nonlinear Neutral Functional Differential Equation in the Critical Case [J]. Nonlinear Analysis:Theory, Methods & Applications, 2006, 6,1(1 ) : 1587-1607.
  • 5LU Shiping, GE Wcigao. Periodic Solutions of Neutral Differential Equation with Multiple Deviating Arguments [J].Applied Mathematics and Computation, 2004,156(3.) :705-717.
  • 6LU Shiping. Existence of Periodic Solution for a p-Laplician Neutral Functional Differential Equations [J]. Nonlinear Analysis:Theory, Methods & Applications, 2009 , 70(1) :23 1-243.
  • 7Gincs R E , Mawhin J L. Coincidence Degree and Nonlinear Differential Equations [M]. Heidelberg:Springcr-Vcrlag, 1977.
  • 8WANG Lianglong, WANG Zhicheng, ZOU Xingfu. Periodic Solutions Of Neutral Functional Differential Equations [J]. J London Math Soc, 2002, 65(2) : 439-452.
  • 9WANG Lianglong, WANG Zhicheng. Controllability of Abstract Neutral Functional Differential Systems with Infinite Delay [J]. Dynamics of Continuous, Discrete and Impulsive Systems: Series B (Applications Algorithms), 2002, 9(1): 59-70.
  • 10LU Shiping, GUI Zhanjie, GE Weigao. Periodic Solutions to a Second Order Nonlinear Neutral Functional Differential Equation in the Critical Case [J]. Nonlinear Analysis: Theory, Methods & Applications, 2006, 64(7) : 1587-1607.

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吉林大学学报（理学版）
2011年 第3期

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