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

摘要

We study the existence of positive solutions to the p-Laplacian dynamic equa-tions (g(t)))v + a(t) f (t, u(t)) = 0 for t E [0, T]T satisfying either the bound-ary condition u(0) — Bo(u~Δ(0)) = 0,u~Δ(T) = 0 or u~Δ(0) = 0, u~Δ(T) +B_1 (u(T)) = 0, whereg v) |v|~(p-2)vwithp >1. By using a new five function-als fixed-point theorem due to Avery, we prove that the boundary value problemshas at least three positive solutions. As an application, an example is given toillustrate our result.