Existence of solutions for abstract neutral integro-differential equations with unbounded delay

Existence of Solutions for Abstract Neutral Integro-differential Equations with Unbounded Delay

In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.

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