EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A p -LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES

Abstract

Abstract. In this paper, we study the solvability of one-dimensional fourthorder p-Laplacian boundary value problems on time scales. By using Krasnosel'skii's fixed point theorem of cone expansion-compression type, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.