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Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales

Authors :
Su, You-Hui
Li, Wan-Tong
Sun, Hong-Rui
Source :
Mathematical & Computer Modelling. Sep2008, Vol. 48 Issue 5/6, p845-858. 14p.
Publication Year :
2008

Abstract

Abstract: We investigate a class of singular -point -Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential and difference equations , as well as general time scales setting. As an application, an example is given to illustrate the results. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08957177
Volume :
48
Issue :
5/6
Database :
Academic Search Index
Journal :
Mathematical & Computer Modelling
Publication Type :
Academic Journal
Accession number :
33387646
Full Text :
https://doi.org/10.1016/j.mcm.2007.11.008