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Existence of positive periodic solutions for neutral functional differential equations.
Zhixiang Li,Xiao Wang +1 more
- Vol. 2006
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The article was published on 2006-03-17 and is currently open access. It has received 14 citations till now. The article focuses on the topics: Cone (topology) & Differential equation.read more
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Journal ArticleDOI
Existence of positive periodic solutions for two kinds of neutral functional differential equations
TL;DR: A new existence theory for positive periodic solutions for two kinds of neutral functional differential equations by employing the Krasnoselskii fixed-point theorem is dealt with.
Journal ArticleDOI
A vector version of Krasnosel’skiĭ’s fixed point theorem in cones and positive periodic solutions of nonlinear systems
TL;DR: In this paper, a new version of Krasnosel'skiĭ's fixed point theorem in cones is established for systems of operator equations, where the compressionexpansion conditions are expressed on components.
Journal ArticleDOI
Positive periodic solution of second-order neutral functional differential equations
TL;DR: In this paper, the existence of periodic solutions to two types of second-order neutral functional differential equations has been studied and sufficient conditions for their existence have been obtained by choosing available operators and applying Krasnoselskii's fixed point theorem.
Journal ArticleDOI
Positive periodic solutions in neutral nonlinear differential equations
TL;DR: In this paper, the authors used Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay d dt [x(t) ax(t �)] = r(t),x (t) f(t,x( t �)) has a positive periodic solution.
Journal ArticleDOI
Some results on second-order neutral functional differential equations with infinite distributed delay☆
Weiwei Han,Jingli Ren +1 more
TL;DR: In this article, the authors considered two types of second-order neutral functional differential equations with infinite distributed delay and obtained sufficient conditions for the existence of periodic solutions to such equations by choosing available operators and applying Krasnoselskii's fixed point theorem.