| 一类非线性动力系统解的研究 |
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| 引用本文： | 刘俊,崔萍,荀凤仙. 一类非线性动力系统解的研究[J]. 曲靖师范学院学报, 2001, 20(3): 17-21 |
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| 作者姓名： | 刘俊 崔萍 荀凤仙 |
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| 作者单位： | 1. 曲靖师范学院
2. Department of Mathematics,Qujing Normal College,Qujing 655000,Yunnan, China |
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| 基金项目： | 云南省教育厅资助项目，曲靖师范学院校科研和教改项目 |
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| 摘 要： | ［1］Liang Zai-Zhong. A study of the construction of Liapunov function for a class of fourth order nonlinear system[J]. Appl. Math. and Mech.(English Ed), 1995,16(2): 195 - 202.［2］Cartwight M L. On the stability of solution of certain differential equation of the fourth order[J]. Quart.J. Mech. and Applied Math., 1956, (9):185 -194.［3］Norman E, Trench W, Drake. Research in Methodsof Generating Liapunov functions[ M ].Pennsylvania: Drexel Institute of Technology, 1979.［4］Wang Lian, Wang Mu-qiu. The Qualitative Analysisof Nonlinear Ordinary Differential Equations[M].Harbin University of Technology Press(in chinese),1987.381 - 422.
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A Study of theSolutions for a Class of Nonlinear Dynamical Systems |
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| LIU Jun,CUI Ping,XUN Fengxian. A Study of theSolutions for a Class of Nonlinear Dynamical Systems[J]. Journal of Qujing Normal College, 2001, 20(3): 17-21 |
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| Authors: | LIU Jun CUI Ping XUN Fengxian |
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| Abstract: | In this paper,the boundedness and the stability of solution for a class of fourth order nonlineardifferential equations are studied by using the method of Liapunov funtion. We obtain the sufficient conditions whichguarantee the boundedness and stability of solutions. |
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| Keywords: | nonlinear differential equation liapunov function asymptotic stability boundedness |
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