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Oscillation and Global Stability of an Impulsive Delay Logistic Equation

F. Bozkurt, A. Yousef


In this paper, we consider a logistic equation given as a non-linear impulsive delay population model. We have obtained sufficient conditions for the existence and the global attractivity of positive periodic solutionx^* (t) of the constructed impulsive delay logistic equation. Also, we have established some sufficient conditions for oscillation of all positive solutions about the positive periodic solution x^* (t).


Global attractivity; Impulsive delay differential equation; Logistic equation; Oscillation; Periodic solutions

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