In this paper, we will study the existence of periodic solutions for the delay evolution integrodifferential equations in a general Banach space with unbounded operator. @ 2004 Elsevier Ltd. All rights reserved.
We construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the controllability of the neutral equations, we first consider the existence and regularity of solutions of the neutral control system by using… (More)
This document provides requirements for security services based on Software-Defined Networking (SDN) with two representative use cases: (i) centralized firewall system for intra-domain networks and (ii) centralized DDoS-attack mitigation system between inter-domain networks. For the centralized firewall system, this document raises challenging issues in… (More)
The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder's fixed point theorem. We construct the fundamental solution, establish the Hölder continuity results concerning the fundamental solution of its corresponding retarded linear equation,… (More)
This paper deals with the existence and uniqueness of solutions for the nonlinear functional differential equations with time delay. The regularity and a variation of constant formula for solutions of the given equations are also studied.