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具有偏差变元的四阶p-Laplacian中立型泛函微分方程的周期解

Periodic Solutions for Four-Order p-Laplacian Neutral Functional Differential Equation with Deviating Argument
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摘要 利用Mawhin重合度理论,研究一类具有偏差变元的四阶p-Laplacian中立型泛函微分方程周期解的存在性,给出了该类方程至少存在一个T周期解的充分条件. Using Mawhin’s coincidence degree theorem,we studied the existence of periodic solutions for a class of four-order p-Laplacian neutral functional differential equation with deviating argument,and the sufficient condition for existence of at least one T-periodic solution for the equation was given.
作者 王海莲 王良龙
机构地区 巢湖学院数学系 安徽大学数学科学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2016年第3期439-445,共7页 Journal of Jilin University:Science Edition
基金 安徽省高校自然科学研究重点项目(批准号:KJ2016A506 KJ2014A010) 安徽省自然科学基金(批准号:1508085QA01 1608085QA12) 巢湖学院自然科学研究项目(批准号:XLY-201501)
关键词 周期解 Mawhin重合度 偏差变元 P-LAPLACIAN方程 periodic solution Mawhin’s coincidence degree deviating argument p-Laplacian equation
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献10

  • 1WANG Lianglong, WANG Zhicheng, ZOU Xingfu. Periodic Solutions Of Neutral Functional Differential Equations [J]. J London Math Soc, 2002, 65(2) : 439-452.
  • 2WANG 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.
  • 3LU 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.
  • 4LU Shiping, GE Weigao. Periodic Solutions of Neutral Differential Equation with Multiple Deviating Arguments [J]. Applied Mathematics and Computation, 2004, 156(3): 705-717.
  • 5Zhu 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
  • 6LU Shiping. Existence of Periodic Solutions for a p-Laplician Neutral Functional Differential Equation [J]. Nonlinear Analysis (Theory, Methods & Applications), 2009, 70(1) : 231-243.
  • 7沈钦锐,周宗福.一类具偏差变元的三阶p-Laplacian方程周期解的存在性[J].吉林大学学报（理学版）,2012,50(1):27-34. 被引量：3
  • 8刘丙镯,刘文斌.四阶p-Laplacian中立型泛函微分方程周期解的存在性[J].吉林大学学报（理学版）,2011,49(3):430-436. 被引量：2
  • 9王海莲,王良龙.三阶p-Laplacian中立型泛函微分方程的周期解[J].吉林大学学报（理学版）,2014,52(3):421-428. 被引量：1
  • 10Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations [M]. Berlin: Springer-Verlag, 1977.

二级参考文献17

  • 1BAI,Zhan-bing(白占兵).EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2001,22(12):1476-1480. 被引量：4
  • 2Zhu 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
  • 3Chenug W S, Ren J L. Periodic Solutions for p-Laplacian Linard Equation with a Deviating Argument [ J ]. Nonlinear Analysis: Theory, Methods & Applications, 2004, 59(1/2) : 10%120.
  • 4Chenug W S, REN Jin-li. On the Existence of Periodic Solutions for p-Laplacian Generalized Linard Equation [ J ]. Nonlinear Analysis : Theory, Methods & Applications, 2005, 60 (2) : 65-75.
  • 5Gaines R, Mawhin J. Coincide Degree and Nonlinear Differential Equation [ M]. Berlin: Springer-Verlag, 1977.
  • 6LU Shi-ping, ZHENG Zu-xiu. Periodic Solutions to Neutral Differential Equation with Deviating Arguments [ J ]. Appl Math Comput, 2004, 152(1) : 17-27.
  • 7WANG Lianglong, WANG Zhichcng, ZOU Xingfu. Periodic Solutions of Neutral Functional Differential Equations [J]. J London MathSoc, 2002 , 65(2.) :439-452.
  • 8WANG 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.
  • 9LU 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.
  • 10LU Shiping, GE Wcigao. Periodic Solutions of Neutral Differential Equation with Multiple Deviating Arguments [J].Applied Mathematics and Computation, 2004,156(3.) :705-717.

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吉林大学学报（理学版）
2016年 第3期

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