一类四阶非线性泛函微分方程的周期解

Periodic Solutions of Some Fourth-order Nonlinear Functions Differential Equations

下载PDF

导出

摘要利用重合度理论研究一类泛函微分方程u(4)-pu″-h(u′(t))-g(u(t-τ(t))=e(t)周期解的存在性,得到了该方程存在T(T0)周期解的充分条件。 Using Mawhin＇s coincidence degree theory,existence results are obtained concerning T-periodic solutions of fourth-order differential equations of the type u^（4）-pu^″-h（u′（t））-g（u（t-τ（t））=e（t）.

作者曾力周宗福

机构地区安徽大学数学科学学院

出处《科学技术与工程》 2010年第2期356-359,共4页 Science Technology and Engineering

基金国家自然科学基金(10771001) 安徽省教育厅科研基金重点项目(KJ2009A005Z) 安徽大学人才队伍建设项目资助

关键词非线性泛函微分方程重合度周期解 nonlinear functions differential equations coincidence degree periodic solution

分类号 O177.91 [理学—基础数学]

引文网络
相关文献

参考文献6

1Tunc C. Some stability results for the solutions of certain fourth order delay differential equations. Differential Equations and Applications ,2004 ;4:165-174.
2西密尔·通兹,海治（译）,张禄坤（校）.某些四阶时滞微分方程解的稳定性[J].应用数学和力学,2006,27(8):994-1000. 被引量：4
3Liu Xilan, Li Wantong. Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters. Mathematical and Computer Modelling,2007;46(3-4) :525-534.
4翁佩萱.四阶泛函微分方程边值问题的上下解方法[J].华南师范大学学报（自然科学版）,2000,32(3):1-6. 被引量：7
5Gaines R E, Mawhin J L. Coincidence degree and nonlinear differential equations. Berlin:Springer-Veriag,1977.
6Bereanu C. Periodic solutions of some fourth-order nonlinear differential equations. Nonlinear Analysis,2009 ;71:53-57.

二级参考文献32

1WENG PEIXUAN.BOUNDARY　VALUE　PROBLEMS　FOR　SECOND　ORDER　MIXED-TYPE　FUNCTIONAL　DIFFERENTIAL　EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),1997,12(2):155-164. 被引量：6
2Bereketoglu H. Asymptotic stability in a fourth order delay differential equation[ J]. Dynam Systems Appl, 1998,7( 1 ) : 105-115.
3Burton T A. Volterra Integral and Differential Equations[M] .New York:Academic Press, 1983.
4Burton T A. Stability and Periodic Solutions of Ordinary and Functional Differential Equations[M]. Orlando:Academic Press, 1985.
5Burton T A,Zhang S N. Unified boundedness, periodicity, and stability in ordinary and functionaldifferential equations[J] .Ann Mat Pura Appl, 1986,145(4):129-158.
6Chukwu E N. On the boundedness and stability properties of solutions of some differential equations of the fifth order[ J]. Ann Mat Pura Appl, 1975,106(4) :245-258.
7Chukwu E N. On the boundedness and stability of solutions of some differential equations of the fifth order[J]. SIAM J Math Anal, 1976,7(2), 176-194.
8Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics[M]. Dordrecht: Kluwer Academic Publishers Group, 1992.
9Hale J . Theory of Functional Differential Equqtions[M] .New York,Heidelberg:Springer-Verlag, 1977.
10Harrow M. A stability result for solutions of certain fourth order honmogeneous differential equations[J]. J London Math Soc, 1967,42:51-56.

共引文献9

1杨雯抒,翁佩萱.具偏差变元的n阶微分方程共轭边值问题的多解性[J].华南理工大学学报（自然科学版）,2004,32(7):81-85. 被引量：2
2屈海东,刘轩.三阶非线性微分方程组边值问题的正解[J].华南师范大学学报（自然科学版）,2009,41(2):16-19.
3覃荣存,刘佳玉,刘春燕.一类四阶非线性系统零解的稳定性[J].梧州学院学报,2009,19(3):14-18. 被引量：1
4张旭萍,李永祥.有序Banach空间非线性四阶边值问题的正解[J].华南师范大学学报（自然科学版）,2013,45(2):28-31.
5董彪,蒋自国,蒲志林.一类四阶非线性微分方程的渐近稳定性[J].重庆师范大学学报（自然科学版）,2015,32(1):92-95. 被引量：2
6蹇星月,刘锡平,贾梅,骆泽宇.分数阶泛函微分方程边值问题的耦合上下解方法[J].高校应用数学学报（A辑）,2019,34(3):301-314. 被引量：6
7李梦凡,田淑环.泛函微分方程边值问题解的存在性研究[J].保定学院学报,2023,36(4):113-117.
8张雨馨.具有左右分数阶导数和时滞的非瞬时脉冲微分方程非线性边值问题[J].应用数学进展,2021,10(4):1255-1269.
9A. M. A. Abou-El-Ela,A. I. Sadek,A. M. Mahmoud,R. O. A. Taie.On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth-Order[J].Advances in Pure Mathematics,2014,4(8):357-367.

1张翼.一类椭圆型方程正解的存在性[J].浙江师大学报（自然科学版）,1999,22(3):11-15.

科学技术与工程

2010年第2期

浏览历史

内容加载中请稍等...

一类四阶非线性泛函微分方程的周期解

参考文献6

二级参考文献32

共引文献9

相关作者

相关机构

相关主题

浏览历史