Existence and global attractivity of positive periodic solutions of functional differential equations with impulses
type: Item
instance of: scholarly article
title: Existence and global attractivity of positive periodic solutions of functional differential equations with impulses
zbMATH Open document ID: 1061.34059
author: Haifeng Huo
author: Wan-Tong Li
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-11-26T00:00:00Z
review text: Existence and global attractivity of positive periodic solutions are obtained for the following nonlinear delay differential equation with impulses \[ \dot{y}(t)=y(t)F(t, y(t-\tau_1(t)),\dots,y(t-\tau_n(t))),\quad y(t_k^{+})=b_ky(t_k),\quad k=1,2\dots. \] Applications to logistic equations with several delays are presented. For the proof the authors apply coincidence degree theory and the method of Lyapunov functionals.
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 2119143
zbMATH Keywords: functional-differential equations
zbMATH Keywords: impulses
zbMATH Keywords: periodic solutions
zbMATH Keywords: global attractivity
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: j.na.2004.07.042
OpenAlex ID: W1994439086
cites work: Q3262986
cites work: Ordinary differential equations with nonlinear boundary conditions
cites work: Q4003237
cites work: Environmental periodicity and time delays in a ``food-limited'' population model
cites work: Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation
cites work: On delay differential equations with impulses
cites work: Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation
cites work: Oscillation and Global Attractivity in a Periodic Delay Equation
cites work: Q4000352
cites work: Existence and global attractivity of positive periodic solution of an impulsive delay differential equation
cites work: Q5732050
cites work: Delay differential equations: with applications in population dynamics
cites work: On a periodic delay population model
cites work: Existence and global attractivity of a positive periodic solution to a class of delay differential equation
cites work: Time delays produced by essential nonlinearity in population growth models
cites work: Q5312827
cites work: Oscillation and global attractivity in a periodic Nicholson's blowflies model
cites work: Q4360715
cites work: Existence and global attractivity of positive periodic solution for an impulsive Lasota--Wazewska model
cites work: Global attractivity and oscillation in a nonlinear delay equation
cites work: Oscillation and stability of linear impulsive delay differential equations
cites work: Global attractivity and oscillations in a periodic delay-logistic equation
cites work: Global attractivity in impulsive functional-differential equations
DOI: 10.1016/J.NA.2004.07.042
description: scientific article; zbMATH DE number 2119143