Unbounded solutions of quasi-linear difference equations
type: Item
instance of: scholarly article
title: Unbounded solutions of quasi-linear difference equations
zbMATH Open document ID: 1055.39004
DOI: 10.1016/S0898-1221(03)00069-5
publication date: 2004-08-06T00:00:00Z
review text: The limit behaviour of positive increasing solutions of the difference equation \[ \Delta(a_n\phi_p(\Delta x_n))= b_nf(x_{n+1}) \] with \(\phi_p(u)=| u|^{p-2} u\), \(p> 1\), positive \(a_n\), \(b_n\) and \(uf(u)> 0\) for \(u\neq 0\) is established. Examples are given which show the role of the hypotheses.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2082219
zbMATH Keywords: positive solutions
zbMATH Keywords: asymptotic behaviour
author: M. Cecchi
author: Zuzana Došlá
author: Mauro Marini
reviewed by: Lothar Berg
MaRDI profile type: Publication
cites work: Q3726641
cites work: Positive decreasing solutions of quasi-linear difference equations
cites work: Bounded and zero convergent solutions of second-order difference equations
cites work: An existence theorem for a nonlinear difference equation
cites work: On unbounded positive solutions of second-order difference equations with a singular nonlinear term
cites work: Existence of positive nondecreasing solutions of nonlinear difference equations
cites work: Nonoscillatory solutions for the one-dimensional \(p\)-Laplacian
cites work: Bounded and monotone properties of solutions of second-order quasilinear forced difference equations
cites work: Oscillations and nonoscillations of half-linear difference equations generated by deviating arguments
cites work: Q4106599
cites work: On the existence of positive solutions of higher order difference equations
cites work: Nonoscillation criteria for half-linear second-order difference equations
cites work: On self-adjoint differential equations of second order
cites work: Oscillatory and asymptotic behaviour of second order nonlinear difference equations
full work available at URL: s0898-1221(03)00069-5
OpenAlex ID: W2006932853
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082219