Periodic Solutions of Functional Differential Equations of Neutral Type

Abstract

In this paper we give necessary and sufficient conditions for the existence of periodic solutions for convex functional differential equations of neutral type with finite and infinite delay. ᮊ

Two periodic solutions of second-order neutral functional differential equations

“…Many results were obtained by Kuang [6], Freedman and Wu [4], Wang [7] and many others by applying fixed point index theory, theory of Fourier series, fixed point theorems in cones, Leray-Schauder continuation theorem, coincidence degree theory and so on. We refer to [8][9][10][11][12][13][14] for some recent results in this field.…”

Periodic solutions of neutral functional differential systems with two parameters

“…Many results were obtained by Kuang [9], Freedman and Wu [4], Wang [19] and many others by the theory of Fourier series, fixed point theorem in cones, coincidence degree theory and so on. We refer to [10][11][12][13][14][15][16][17][18]21,2,1,7,20] for some recent results on this field.…”

Existence and regularity of periodic solutions for neutral evolution equations with delays

“…The problems concerning periodic solutions of partial neutral functional differential equations with delay are an important area of investigation since they can take into account seasonal fluctuations occurring in the phenomena appearing in the models, and have been studied by some researchers in recent years. Specially, the existence of periodic solutions of neutral evolution equations with delay has been considered by several authors, see [12,13,14,15,16,17,18]. For the delayed evolution equations without neutral term, the existence of periodic solutions has been discussed by more authors, see [19,20,21,22,23] and references therein.…”