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一阶微分方程的周期解(英文) 被引量：2

Periodic Solution of First-order Differential Equation
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摘要 利用迭代分析方法讨论了一类一阶微分方程周期解的存在性,并得到一些新的结果. In this paper,by means of the iterative analysis method,the existence for periodic solution of first-order differential equations is considered.Some new results are obtained.
作者 何莲花 汤庆 刘安平
机构地区 中国地质大学数学与物理学院
出处 《徐州师范大学学报（自然科学版）》 CAS 2008年第2期90-93,共4页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 National Natural Science Foundation of China(50579089,40774062) Natural Science Founda-tion of Hubei Provincial Depart ment of Education(B200704001) Science Foundation for Graduate of China University of Geosciences(CUGYJS0709)
关键词 迭代分析 周期解 存在性 iterative analysis periodic solution existence
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Lakshmikantham V, Bainov D D, Simeonov P S. Theory of impulsive differential equations[M]. Singapore: World Scientific, 1989.
  • 2Okochi H. On the existence of periodic solutions to nonlinear abstract parabolic equations[J]. J Math Soc Japan, 1998,40:541.
  • 3Nieto J J. Existence of periodic solutions for first order differential equations[J]. Appl Math Comput, 1984,15(3) : 221.
  • 4Jiang Datting,Nieto J J,Zuo Weijie. On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations[J]. J Math Anal Appl, 2004,289 (2) : 691.
  • 5Nieto J J, lvarez-Noriega N. Periodic boundary value problems for nonlinear first order ordinary differential equations [J]. Acta Math Hungar,1996,71(1-2) :49.
  • 6Li Fuyi, Liang Zhangping. Existence of positive periodic solutions to nonlinear second order differntial equations[J]. Appl Math Lett,2005,18( 11 ) : 1256.
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  • 8Liu Yansheng. Multiple solutions of periodic boundary value problems for first order differential equations[J]. Comput & Math with Appl,2007,54(1):1.
  • 9He Mengxing. Global existence and stability of solutions for reaction diffusion functional differential equations[J]. J Math Anal Appl,1996,199(3):842.
  • 10He Mcngxing, Liu Anping. Stability for large systems of partial functional differential equations: iterative analysis mcthod[J]. Appl Math and Comput, 2002,132 ( 2-3) : 489.

同被引文献19

  • 1J. J. Nieto,N. Alvarez-Noriega.Periodic boundary value problems for nonlinear first order ordinary differential equations[J]. Acta Mathematica Hungarica . 1996 (1-2)
  • 2Okochi H.On the existence of periodic solutions to nonlin-ear abstract parabolic equations. Journal of the Mathematical Society of Japan . 1998
  • 3Nieto J J.Existence of periodic solutions for first orderdifferential equations. Applied Mathematics and Computation . 1984
  • 4Li Fuyi,Liang Zhangping.Existence of positive periodicsolutions to nonlinear second order differential equations. Journal of Applied Mathematics . 2005
  • 5Nieto J J.Basic theory for nonresonance impulsive period-ic problems of first order equations. J Math Anal Ap-pl . 1997
  • 6Liu Yansheng.Multiple solutions of periodic boundary val-ue problems for first order differential equations. Com-puters and mathematics with Applications . 2007
  • 7He Mengxing.Global Existence and Stability of Solutionsfor Reaction Diffusion Functional Differential Equations. Journal of Mathematical Analysis and Applications . 1996
  • 8He Mengxing,Liu Anping.Stability for large systems ofpartial functional differential equations:iterative analysismethod. Journal of Applied Mathematics . 2002
  • 9Y.L.Li,A.P.Liu,Q.X.Ma,and X.M.Wang.Existence and stability for periodic boun- dary value problem of first order differential equations. Dynamics of Continuous Dis- crete and Impulsive Systems-Series A-Mathematical Analysis . 2007
  • 10Lakshmikantham V,Bainov DD,Simeonov PS.Theory of impulsive differential equations. . 1989

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徐州师范大学学报（自然科学版）
2008年 第2期

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