Existence of Solutions for Nonlinear Four-Point [inline-graphic not available: see fulltext]-Laplacian Boundary Value Problems on Time Scales

We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a [inline-graphic not available: see fulltext]-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for [inline-graphic not available: see fulltext]-Laplacian boundary value problem is also given by the monotone method.