Existence of positive periodic solutions for a class of difference equations with several deviating arguments
type: Item
instance of: scholarly article
title: Existence of positive periodic solutions for a class of difference equations with several deviating arguments
zbMATH Open document ID: 1052.39008
DOI: 10.1016/S0898-1221(03)00103-2
author: Daqing Jiang
author: Ravi P. Agarwal
publication date: 2004-08-06T00:00:00Z
review text: The authors consider the general periodic logistic difference equation \[ \triangle x(t) = x(t)[a(t)-g(t,x(t-\tau_1(t)),\ldots,x(t-\tau_n(t)))] \] where \(t\in Z\) and \(a\), \(g(\cdot,x_1,\ldots,x_n)\), \(\tau_i(\cdot)\) are \(T\)-periodic. Conditions are given for the existence of a positive \(T\)-periodic solution of the equation, using a continuation theorem from \textit{R. E. Gaines} and \textit{J. L. Mawhin} [Coincidence degree, and nonlinear differential equations (1977; Zbl 0339.47031)].
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 2082235
zbMATH Keywords: periodic solutions
zbMATH Keywords: coincidence degree
zbMATH Keywords: periodic logistic difference equation
zbMATH Keywords: logistic equation
zbMATH Keywords: positive solution
MaRDI profile type: Publication
cites work: Q4952140
cites work: Q4003237
cites work: Q5675177
cites work: Global Stability of a Biological Model with Time Delay
cites work: Q4000373
cites work: Periodic solutions of a single species discrete population model with periodic harvest/stock
cites work: Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation
cites work: Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
cites work: Global stability for a class of nonlinear nonautonomous delay equations
cites work: Ordinary differential equations with nonlinear boundary conditions
full work available at URL: s0898-1221(03)00103-2
OpenAlex ID: W2085520390
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082235