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

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

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Existence Results for a Partial Neutral Integro-differential Equation with State-dependent Delay

In this paper we study the existence of mild solutions for a class of abstract partial neutral integro-differential equations with state-dependent delay.

Existence of periodic solutions to integro-differential equations of neutral type via limiting equations

In this paper, we present some results on the existence of periodic solutions to Volterra integro-differential equations of neutral type. The main idea is to show the convergence of an equibounded sequence of periodic solutions of certain limiting equations which are of finite delay. This makes it possible to apply the existing Liapunov-Razumikhin technique for neutral equations with finite del...

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

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