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Almost Periodic Processes in Ecological Systems with Impulsive Perturbations
Stamov, Gani Trendafilov Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.2
In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov's functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.
Existence of integral manifolds for impulsive integro-differential equations
Gani Tr. Stamov 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.1
In the paper the problem of existence of integral manifolds for impulsive integro-dierential equations is considered. The investigations are carried out by means ofpiecewise continuous functions which are analogues of Lyapunov’s functions.
Gani Tr.Stamov 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.2
In the present paper sufficient conditions for the existence of almost periodic solutions of impulsive integro-differential equations are obtained. The investigations are carried out by means piecewise continuous functions which are generalizations of the classical Lyapunov functions and the comparison principle.