Existence and multiplicity of positive solutions for p-Laplacian boundary value problem on time

Abstract. In this paper, we study the solvability of one-dimensional fourth-order p-Laplacian boundary value problems on time scales. By using Kras-nosel’skii’s fixed point theorem of cone expansion-compression type, some exis-tence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity. 1