Existence and global attractivity of positive periodic solutions of functional differential equations with impulses (Q1888589)

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.