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Existence and global attractivity of positive periodic solutions of functional differential equations with impulses. (English) Zbl 1061.34059
Existence and global attractivity of positive periodic solutions are obtained for the following nonlinear delay differential equation with impulses $$\dot{y}(t)=y(t)F(t, y(t-\tau_1(t)),\dots,y(t-\tau_n(t))),\quad y(t_k^{+})=b_ky(t_k),\quad k=1,2\dots.$$ Applications to logistic equations with several delays are presented. For the proof the authors apply coincidence degree theory and the method of Lyapunov functionals.

##### MSC:
 34K45 Functional-differential equations with impulses 34K13 Periodic solutions of functional differential equations 34K20 Stability theory of functional-differential equations 34K60 Qualitative investigation and simulation of models
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##### References:
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