Almost periodic solutions of N

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• 作者：Shair Ahmad ; Gani Tr. Stamov
• 关键词：Almost periodic ; Impulsive ; Competitive ; Global ; Exponentially stable
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2009
• 出版时间：June 2009
• 年：2009
• 卷：10
• 期：3
• 页码：1846-1853
• 全文大小：463 K

文摘

In this paper we study the existence of almost periodic solutions of a general Lotka–Volterra N-dimensional impulsive competitive system with fixed moments of impulsive perturbations. By means of piecewise continuous functions, which are modifications of classical Lyapunov’s functions, we give new sufficient conditions for the global exponential stability of the unique positive almost periodic solution of the system.