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—数学]

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相关文献

参考文献10

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二级参考文献17

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共引文献5

1Feng Liang, Shiping Lu Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui.EXISTENCE OF PERIODIC SOLUTIONS TO A p-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER[J].Annals of Differential Equations,2010,26(2):165-173. 被引量：2
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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

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