Triple Positive Solutions of Two-Point BVPs for p-Laplacian Dynamic Equations on Time Scales

We study the existence of positive solutions to the p-Laplacian dynamic equa-tions (g(u∆(t)))∇+a(t)f(t, u(t)) = 0 for t ∈ [0, T]T satisfying either the bound-ary condition u(0) − B0(u∆(0)) = 0, u∆(T) = 0 or u∆(0) = 0, u∆(T) + B1(u(T)) = 0, where g(ν) = |ν|p−2 ν with p> 1. By using a new five function-als fixed-point theorem due to Avery, we prove that the boundary value problems has at least three positive solutions. As an application, an example is given to illustrate our result. AMS Subject Classifications: 34B15, 39A10