TITLE:
Stability Behavior of the Zero Solution for Nonlinear Damped Vectorial Second Order Differential Equation
AUTHORS:
Mohamed A. Ramadan, Samah M. El-Kholy
KEYWORDS:
Zero Solution; Damped Oscillator; Uniformly Stable; Asymptotically Stable
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.1 No.4,
January
2,
2013
ABSTRACT: In this paper, a theoretical treatment of the stability behavior of the zero solution of nonlinear damped oscillator in the vectorial case is investigated. We study the sufficient conditions for the boundedness of solution of the nonlinear damped vectorial oscillator and the conditions for the stability of the zero solution to be uniformly stable as well as asymptotically stable.