Triple positive solutions for p-Laplacian m-point boundary value problem on time scales

In this paper we discuss the following p-Laplacian m-point boundary value problem on time scales T: 􀀀 ʹp.u .t// r C h.t/f .t; u.t/; u .t// D 0; t 2 .0; T /T; u.0/ D 0; ʹp 􀀀 u .T / D mX􀀀2 iD1 aiʹp 􀀀 u . i/ ; where ʹp.u/ D jujp􀀀2u for p > 1. Some new existence criteria for at least three positive solutions are established by using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge. An example is also given to demonstrate the main result.