Stability Behavior of the Zero Solution for Nonlinear Damped Vectorial Second Order Differential Equation

• 作者: Mohamed A. Ramadan Samah M. El-Kholy
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: ZERO Solution DAMPED OSCILLATOR UNIFORMLY STABLE ASYMPTOTICALLY STABLE
• 年，卷（期）: 2012,（4）
• 页码范围: 125-129
• 页数: 5页
• 分类号: O1

摘要

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.