Solutions to neutral partial functional differential equations with functional 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].

On state-dependent delay partial neutral functional-differential equations

In this paper, we study the existence of mild solutions for a class of abstract partial neutral functional–differential equations with state-dependent delay. 2006 Elsevier Inc. All rights reserved.

Regularity of Solutions of Partial Neutral Functional Differential Equations with Unbounded Delay

We prove the existence of regular solutions for a class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract retarded functional differential equation d dt(x(t) + F (t, xt)) = Ax(t) + G(t, xt), where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators on a Banach space X and F , G...

Periodic Solutions for Some Partial Neutral Functional Differential Equations

In this work, we study the existence of periodic solutions for partial neutral functional differential equation. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove that the existence of a bounded solution on R+ implies the existence of a periodic solution. In nonlinear case, we use the concept o...

Mild Solutions of Neutral Stochastic Partial Functional Differential Equations