Existence of Positive Solutions in Generalized Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales. (14th June 2009)

• Record Type: Journal Article
• Authors: Zhong, Wenyong; Lin, Wei
• Other Names: Cabada Alberto Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2009(2009)
• Publication Date: 2009-06-14
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2009/848191
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : We analytically establish the conditions for the existence of at least two or three positive solutions in the generalizedm -point boundary value problem for thep -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical results with a concrete and nontrivial dynamic equation on specific time scales.