阻尼奇异微分方程周期解的扭转性

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Twist Periodic Solution of Damped Singular Differential Equations

DING Jinhong

Department of Mathematics, College of Science, Hohai University, Nanjing 210098, China

Received:2011-11-23 Online:2012-09-26 Published:2012-09-29
Contact: DING Jinhong E-mail:guantangding@163.com

Abstract

Abstract:

Using the formula of the first twist coefficient for Newtonian equations and the thirdorder approximation method, we studied the Lyapunov stability of periodic solutions for a nonlinear damped singular differential equations. Moreover, we presented a sufficient condition for the nonlinear damped singular differential equation.

Key words: Lyapunov stability, periodic solution, twist coefficient, thirdorder approximation, singular differential equations

CLC Number:

O175.1

DING Jin-Gong. Twist Periodic Solution of Damped Singular Differential Equations[J].J4, 2012, 50(05): 965-968.

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Twist Periodic Solution of Damped Singular Differential Equations

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