Existence of nonnegative periodic solutions in neutral integro-differential equations with functional 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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EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

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 Positive Periodic Solutions for Neutral Functional Differential Equations

We find sufficient conditions for the existence of positive periodic solutions of two kinds of neutral differential equations. Using Krasnoselskii’s fixed-point theorem in cones, we obtain results that extend and improve previous results. These results are useful mostly when applied to neutral equations with delay in bio-mathematics.