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.
Cite this paper
M. Ramadan and S. El-Kholy, "Stability Behavior of the Zero Solution for Nonlinear Damped Vectorial Second Order Differential Equation," International Journal of Modern Nonlinear Theory and Application, Vol. 1 No. 4, 2012, pp. 125-129. doi: 10.4236/ijmnta.2012.14019.
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