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On Periodic Solution of Nonconservative Systems 被引量:2

On Periodic Solution of Nonconservative Systems
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摘要 In this paper,we consider the following systems x″+ Bx′+ gradG(x,t) = 0.Weak sufficient condition for the existence of a unique 2π-periodic solution of the systems is given and the results in [1]~ [3],[7]~ [8]are consequences of Theorem 2 in this paper if‖B‖2<1.
机构地区 Nanjing University
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第3期45-49, ,共5页 数学季刊(英文版)
关键词 nonconservative system periodic solution HOMEOMORPHISM 非保守系统 周期解 存在唯一性
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参考文献5

  • 1丁同仁,北京大学学报,1992年,28卷,1期,71页
  • 2Shen Zuhe,Nonlinear Analysis,1989年,13卷,145页
  • 3葛渭高,数学年刊.A,1988年,9卷,4期,498页
  • 4Li Shujie,系统科学与数学,1986年,6卷,4期,241页
  • 5Wang Duo,数学学报,1983年,26卷,341页

同被引文献8

  • 1Li Weiguo,Shen Zuhe. The constructive proof for the existence of the periodic solutions of the Duffing equation[J]. Chinese Science Bulletin, 1997,42 : 1591-1594.
  • 2Temple Fay H,Aaron Lott P. Using the homotopy method to find periodic solutions of forced nonlinear differential equations[J]. Int. J. Math. Educ. Sci. Technol. ,2002,33(5):701-714.
  • 3Ding Tongren. An existence theorem for harmonic solution of periodically perturbed systems of Duffing's type[J]. Acta. Scientiarum Naturatium Universitatis Pekinensis, 1992,28(1):71-76.
  • 4Cao J usheng, Shen Zuhe. An existence and uniqueness theorem of periodic solution for nonconservative Duffing equadon[J]. Journal of Nanjing University (nature science edition) ,1999,35(4) :402-407.
  • 5Coddington E A, Levinson N. Theory of ordinary differential equations[A]. International Series in Pure and Applied[C]. New York: McGraw-Hill, 1995.
  • 6Brown K J, Lin S S. Periodically perturbed conservative systems and a global inverse function theorem[J ]. Nonlinear Analysis, Theory, Methods & Applications, 1980,4 ( 1 ) : 193 - 201.
  • 7李维国,沈祖和.Duffing方程周期解存在的构造性证明[J].科学通报,1997,42(15):1591-1595. 被引量:6
  • 8刘国庆,傅冬生,沈祖和.周期摄动守恒系统的数值解[J].应用数学和力学,2002,23(2):207-216. 被引量:3

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