Positive Solutions of a Second Order M-Point Bvp on Time Scales

Abstract

In this study, we are concerned with proving the existence of multiple positive solutions of a general second order nonlinear m-point boundary value problem (m-PBVP) uΔ∇(t) + a(t)uΔ(t) + b(t)u(t) + λh(t)f(t, u) = 0,t∈ [0,1], u(p(0))=0, u(σ(1)) Σm-2,i=1 α iu(ni),on time scales. The proofs are based on the fixed point theorems in a Banach space. We present an example to illustrate how our results work. © 2009 InforMath Publishing Group.