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Lyapunov stability of elliptic periodic solutions of nonlinear damped equations

  • Published:2012-12 Issue:1 Volume:396 Page:294-301
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Chu Jifeng,Ding Jinhong,Jiang Yongxin

Funder

National Natural Science Foundation of China

Program for New Century Excellent Talents in University

Fundamental Research Funds for the Central Universities

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference40 articles.

1. Lectures on Celestial Mechanics;Siegel,1971

2. The twist coefficient of periodic solutions of a time-dependent Newton’s equation;Ortega;J. Dynam. Differential Equations,1992

3. The stability of equilibrium of a nonlinear Hill’s equation;Ortega;SIAM J. Math. Anal.,1994

4. Periodic solution of a Newtonian equation: stability by the third approximation;Ortega;J. Differential Equations,1996

5. Twist character of the least amplitude periodic solution of the forced pendulum;Lei;SIAM J. Math. Anal.,2003

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