Multiple positive solutions of singular and nonsingular discrete problems via variational methods
type: Item
instance of: scholarly article
title: Multiple positive solutions of singular and nonsingular discrete problems via variational methods
zbMATH Open document ID: 1070.39005
author: Ravi P. Agarwal
author: Donal O'Regan
author: Kanishka Perera
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-08-19T00:00:00Z
review text: The authors use the critical point theory to obtain the existence of multiple positive solutions of the discrete boundary value problem \[ \Delta ^{2}y(k-1)+f(k,y(k))=0,\;k\in \{1,...,T\},\quad y(0)=0=y(T+1), \] where \(T\) is a positive integer, \(\Delta y(k)=y(k+1)-y(k)\) is the forward difference operator and \(f\in C(\{1,...,T\}\times [ 0,\infty );\mathbb{R}) \) is a given function with some specific properties.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2092993
zbMATH Keywords: discrete boundary value problem
zbMATH Keywords: multiple solutions
zbMATH Keywords: variational methods
zbMATH Keywords: critical point theory
zbMATH Keywords: positive solutions
reviewed by: Narcisa Apreutesei
MaRDI profile type: Publication
full work available at URL: j.na.2003.11.012
OpenAlex ID: W1999697654
cites work: Mathematics-teaching and research on the horns of a dilemma
cites work: Q4230136
cites work: Q3749777
DOI: 10.1016/J.NA.2003.11.012
description: scientific article; zbMATH DE number 2092993