Positive periodic solutions for nonlinear difference equations with periodic coefficients
type: Item
instance of: scholarly article
title: Positive periodic solutions for nonlinear difference equations with periodic coefficients
zbMATH Open document ID: 0923.39010
author: Ferhan M. Atıcı
author: Gusein Sh. Guseinov
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-18T00:00:00Z
review text: The authors consider the following boundary value problem \[ -\Delta [p(n-1)\Delta y(n-1)]+q(n) y(n)=f(n,y(n)), \quad n=1,2,\dots,N, \] \[ y(0)=y(N),\qquad p(0)\Delta y(0)=p(N)\Delta y(N). \] Using a fixed point theorem in cones, existence of one as well as two solutions is established for the boundary value problem. The authors also consider the boundary value problem with a parameter. Finally, existence of positive periodic solutions on the whole discrete axis is established when the coefficients of the boundary value problem are periodic.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1278865
zbMATH Keywords: nonlinear difference equations
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: positive periodic solution
zbMATH Keywords: fixed point theorem in cones
zbMATH Keywords: periodic coefficients
reviewed by: Patricia J. Y. Wong
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6257
OpenAlex ID: W2045049528
cites work: On the existence of positive solutions of higher order difference equations
cites work: Q4327739
cites work: Q5688214
cites work: Q4379819
cites work: Positive solutions for (n − 1, 1) conjugate boundary value problems
cites work: Multiple positive solutions of some boundary value problems
cites work: On the Existence of Positive Solutions of Ordinary Differential Equations
cites work: Q3994493
cites work: Q3771086
cites work: Q3755791
cites work: Q4344232
cites work: Q4000373
cites work: Q5732050
cites work: The Operator of Translation Along the Trajectories of Differential Equations
cites work: Multiple positive solutions of nonlinear two-point boundary value problems
cites work: Two positive solutions of a boundary value problem for difference equations
cites work: Q4862635
cites work: Q4862647
DOI: 10.1006/JMAA.1998.6257
description: scientific article; zbMATH DE number 1278865