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Asymptotic stability of competitive systems with delays and impulsive perturbations. (English) Zbl 1153.34044
The authors consider a general impulsive nonautonomous Lotka-Volterra system of integro-differential equations with infinite delay. The impulses are realized at fixed moments of time. By using the comparison principle and the Lyapunov method, they obtain sufficient conditions for uniform stability and asymptotic stability of solutions.

MSC:
34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
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