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V. Lakshmikantham and S. Leela, “Differential and Integral Inequalities. Theory and Applications,” Academic Press, New York and London, 1969.

has been cited by the following article:

• 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.