Periodic solutions for difference systems with delay

Periodic Solutions for a Coupled Pair of Delay Difference Equations

has been studied by many authors, see, for example, [1, 3, 5, 7, 8, 9] and the references contained therein. The above equation may be regarded as a mathematical model for a number of dynamical processes. In particular, xn may represent the size of a population in the time period n. Since it is possible that the population may be influenced by another factor of the form −ĥn f2(n,xn−τ(n)), we ar...

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

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Positive Periodic Solutions in Neutral Delay Difference Equations

We use Krasnoselskii’s fixed point theorem to obtain sufficient conditions for the existence of a positive periodic solution of the neutral delay difference equation x(n+ 1) = a(n)x(n) + c∆x(n− τ) + g(n, x(n− τ)). AMS Subject Classifications: 39A10, 39A12.

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay

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