A priori bounds for periodic solutions of neutral differential equations with delay

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

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

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Periodic Solutions for Nonlinear Neutral Delay Integro-differential Equations

In this article, we consider a model for the spread of certain infectious disease governed by a delay integro-differential equation. We obtain the existence and the uniqueness of a positive periodic solution, by using Perov’s fixed point theorem in generalized metric spaces.

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

Periodic Solutions of Delay-Differential Equations with a Restorative Condition

A global existence theorem is given for the periodic solutions of a class of scalar delay-differential equations satisfying a restorative condition. Properties concerning the period and the amplitude of the slowly oscillating periodic solutions are established. The results are applied to a physiological reflex model exhibiting asymmetry of response. It is shown that the model predicts periodic ...