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On Periodic Solutions of a Lyapunov Type Equation

โœ Scribed by L. A. Danilovich; V. N. Laptinskii


Book ID
111548216
Publisher
Springer
Year
2003
Tongue
English
Weight
86 KB
Volume
39
Category
Article
ISSN
0012-2661

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Lyapunov stability of periodic solutions
โœ Meirong Zhang; Jifeng Chu; Xiong Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB ๐Ÿ‘ 1 views

## Abstract We will find a positive constant ฮฃ~2~ such that for any 2__ฯ€__ โ€periodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ โ€ณ + __x__^2^ = __ฯƒ__ + __h__ (__t__) will have exactly two 2__ฯ€__ โ€periodic solutions with one being unstable and another being tw