Positive solutions of nonlinear functional difference equations
type: Item
instance of: scholarly article
title: Positive solutions of nonlinear functional difference equations
zbMATH Open document ID: 0998.39003
DOI: 10.1016/S0898-1221(01)00183-3
author: Denise T. Reid
author: Paul W. Eloe
author: Youssef N. Raffoul
author: William K. C. Yin
publication date: 2002-06-13T00:00:00Z
review text: For integer \(t\in[1,T+1]\) the functional difference equation \[ \Delta^2 x(t-1)+ \lambda a(t)f\biggl(x(t), x\bigl(\varphi(t) \bigr) \biggr) =0 \] is considered under both the initial \(x(j)=v(j)\), \(j\in [-r,-1]\), and the boundary conditions \(x(0)=x (T+2)=0\). Under different conditions the existence of a positive solution is proved for small respectively for all positive values \(\lambda\).
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1755280
zbMATH Keywords: functional difference equation
zbMATH Keywords: positive solution
MaRDI profile type: Publication
cites work: Q4844712
cites work: Q4867184
cites work: Q4885661
cites work: Positive solutions and nonlinear eigenvalue problems for functional-differential equations
cites work: Q4391910
cites work: Boundary value problems for functional differential equations
cites work: An existence principle for boundary value problems for second order functional differential equations
cites work: Q3128691
cites work: Existence of solutions of some functional difference equations.
cites work: Q5732050
cites work: On the Existence of Positive Solutions of Ordinary Differential Equations
cites work: Positive solutions for nonlinear eigenvalue problems
cites work: Nonlinear eigenvalue problems for higher order Lidstone boundary value problems
cites work: Q4000373
full work available at URL: s0898-1221(01)00183-3
OpenAlex ID: W1986727352
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1755280