Open AccessExistence of Positive Solutions in Generalized Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales
Author(s) -
Wenyong Zhong,
Wei Lin
Publication year - 2009
Publication title -
advances in difference equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.67
H-Index - 51
eISSN - 1687-1847
pISSN - 1687-1839
DOI - 10.1155/2009/848191
Subject(s) - mathematics , partial differential equation , ordinary differential equation , dynamic equation , boundary value problem , mathematical analysis , p laplacian , value (mathematics) , differential equation , physics , nonlinear system , statistics , quantum mechanics
We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized m-point boundary value problem for the p-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