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Lyapunov stability of elliptic periodic solutions of nonlinear damped equations

✍ Scribed by Jifeng Chu; Jinhong Ding; Yongxin Jiang


Book ID
119299360
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
218 KB
Volume
396
Category
Article
ISSN
0022-247X

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Lyapunov stability of periodic solutions
✍ Meirong Zhang; Jifeng Chu; Xiong Li πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 180 KB πŸ‘ 1 views

## Abstract We will find a positive constant Ξ£~2~ such that for any 2__Ο€__ ‐periodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ β€³ + __x__^2^ = __Οƒ__ + __h__ (__t__) will have exactly two 2__Ο€__ ‐periodic solutions with one being unstable and another being tw