Double positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
type: Item
instance of: scholarly article
title: Double positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
zbMATH Open document ID: 1075.39011
published in: Journal of Computational and Applied Mathematics
publication date: 2005-06-30T00:00:00Z
review text: Consider the \(p\)-Laplacian dynamic equation on a time scale \([\phi _p(u^\Delta (t))]^\nabla +a(t)f(u(t))=0\), \(t\in [0,T]_T,\) satisfying the boundary conditions \(u(0)-B_0(u^\Delta (\eta ))=0\), \(u^\Delta (T)=0,\) or \(u^\Delta (0)=0\), \(u(T)-B_1(u^\Delta (\eta ))=0,\) where \(\phi _p(s)\) is \(p\)-Laplacian operator. The existence of positive solutions of the mentioned equation is investigated by using a new double fixed-point theorem.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2184021
zbMATH Keywords: time scale
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: boundary value problem
zbMATH Keywords: positive solution
zbMATH Keywords: double fixed-point theorem
author: Zhimin He
reviewed by: Fozi Dannan
MaRDI profile type: Publication
full work available at URL: j.cam.2004.12.012
OpenAlex ID: W2067723534
cites work: Basic calculus on time scales and some of its applications
cites work: Eigenvalues and the one-dimensional \(p\)-Laplacian
cites work: Nonlinear boundary value problems on time scales
cites work: Q3150264
cites work: On Green's functions and positive solutions for boundary value problems on time scales
cites work: Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
cites work: Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
cites work: Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
cites work: Q2723195
cites work: Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
cites work: Eigenvalue problems for nonlinear differential equations on a measure chain
cites work: Twin solutions of boundary value problems for differential equations on measure chains
cites work: Three positive solutions for the one-dimensional \(p\)-Laplacian
cites work: On the existence of positive solutions of \(p\)-Laplacian difference equations.
cites work: Q4542059
cites work: Analysis on measure chains - a unified approach to continuous and discrete calculus
cites work: Q4444819
cites work: Q4716262
cites work: Multiple positive solutions to a three-point boundary value problem with \(p\)-Laplacian
cites work: Twin positive solutions of boundary value problems for finite difference equations with \(p\)-Laplacian operator
cites work: The existence of positive solutions for the one-dimensional $p$-Laplacian
cites work: On the number of positive solutions of nonlinear systems.
cites work: On the Existence of Positive Solutions to a Three‐Point Boundary Value Problem for the One‐Dimensional p‐Laplacian
DOI: 10.1016/J.CAM.2004.12.012
description: scientific article; zbMATH DE number 2184021