Solutions for higher-order dynamic equations on time scales
type: Item
instance of: scholarly article
title: Solutions for higher-order dynamic equations on time scales
zbMATH Open document ID: 1146.39032
author: Hua Su
author: Mingchuan Zhang
published in: Applied Mathematics and Computation
publication date: 2008-06-17T00:00:00Z
review text: The authors are focused on the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order \(p\)-Laplacian dynamic equations on time scales. It is related to a series of work on \(p\)-Laplacian dynamic equations on time scales, seen in the following references [\textit{H. R. Sun} and \textit{W. T. Li}, J. Math. Anal. Appl. 299, No. 2, 508--524 (2004; Zbl 1070.34029); \textit{Y. H. Su, W. T. Li} and \textit{H. R. Sun}, Appl. Math. Comput. 200, 352--368 (2008; Zbl 1146.39033), reviewed below; \textit{H. R. Sun} and \textit{W. T. Li}, Appl. Math. Comput. 182, No. 1, 478--491 (2006; Zbl 1126.34019)] and some publications by R. P. Agarwal and D. O'Regan.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 5289116
zbMATH Keywords: time scale
zbMATH Keywords: high-order \(p\)-Laplacian, four-point singular boundary value problem
zbMATH Keywords: positive solution
zbMATH Keywords: fixed-point index theory
reviewed by: Weinian Zhang
MaRDI profile type: Publication
full work available at URL: j.amc.2007.11.022
OpenAlex ID: W2171171652
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DOI: 10.1016/J.AMC.2007.11.022
description: scientific article; zbMATH DE number 5289116