Asymptotically periodic solutions of neutral partial differential equations with infinite 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

Existence and Regularity of Local Solutions to Partial Neutral Functional Differential Equations with Infinite Delay

In this paper, we establish results concerning, existence, uniqueness, global continuation, and regularity of integral solutions to some partial neutral functional differential equations with infinite delay. These equations find their origin in the description of heat flow models, viscoelastic and thermoviscoelastic materials, and lossless transmission lines models; see for example [15] and [38].

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.