Periodic solutions of logistic equations with time delay

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Positive Periodic Solutions of Neutral Logistic Equations with Distributed Delays

Using a fixed point theorem of strict-set-contraction, we establish criteria for the existence of positive periodic solutions for the periodic neutral logistic equation, with distributed delays, x′(t) = x(t) h a(t)− n X i=1 ai(t) Z 0 −Ti x(t+θ) dμi(θ)− m X j=1 bj(t) Z 0 −T̂j x′(t+θ) dνj(θ) i , where the coefficients a, ai, bj are continuous and periodic functions, with the same period. The value...

Periodic Solutions of Periodic Delay Lotka Volterra Equations and Systems

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and improve existing results. 2001 Academic Press

Periodic Solutions of Functional Dynamic Equations with Infinite Delay

In this paper, sufficient criteria are established for the existence of periodic solutions of some functional dynamic equations with infinite delays on time scales, which generalize and incorporate as special cases many known results for differential equations and for difference equations when the time scale is the set of the real numbers or the integers, respectively. The approach is mainly ba...