Existence of Positive Solutions in Generalized Boundary Value Problem for <inline-formula><graphic file="1687-1847-2009-848191-i1.gif"/></inline-formula>-Laplacian Dynamic Equations on Time Scales

Abstract

We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundary value problem for the -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.