Monotone iterative for fourth-order \(p\)-Laplacian boundary value problems with impulsive effects
type: Item
instance of: scholarly article
title: Monotone iterative for fourth-order \(p\)-Laplacian boundary value problems with impulsive effects
zbMATH Open document ID: 1112.65068
author: Guoliang Shi
author: Xianrui Meng
published in: Applied Mathematics and Computation
publication date: 2006-12-07T00:00:00Z
review text: As a generalization of results presented by \textit{P. W. Eloe} and \textit{M. N. Islam} [Commun. Appl. Anal. 5, No. 1, 113--120 (2001; Zbl 1084.34507)], the authors obtain sufficient conditions for the existence of a solution of fourth-order \(p\)-Laplacian boundary value problems with impulsive effects.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 5078413
zbMATH Keywords: upper and lower solutions
MaRDI profile type: Publication
full work available at URL: j.amc.2006.02.024
OpenAlex ID: W2052130221
cites work: Multiple nonnegative solutions for second order impulsive differential equations.
cites work: Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems
cites work: On fourth order boundary value problems arising in beam analysis
cites work: General Lidstone problems: Multiplicity and symmetry of solutions
cites work: Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
cites work: The method of lower and upper solutions for a bending of an elastic beam equation
cites work: Monotone Iteration and Green's Functions for Boundary Value Problems
cites work: Q3378581
cites work: The method of lower and upper solutions for fourth-order two-point boundary value problems
cites work: On fourth-order elliptic boundary value problems with nonmonotone nonlinear function
cites work: On the existence of solutions to a fourth-order quasilinear resonant problem
cites work: On fourth-order elliptic boundary value problems
cites work: Solvability of some fourth (and higher) order singular boundary value problems
cites work: Positive solutions of fourth-order superlinear singular boundary value problems
cites work: Positive solutions of even higher-order singular superlinear boundary value problems.
DOI: 10.1016/J.AMC.2006.02.024
description: scientific article; zbMATH DE number 5078413