Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales

We investigate a class of singular m-point p-Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential (T = R) and difference equations (T = Z), as well as general time scales setting. As an application, an example is given to illustrate the results. c © 2007 Elsevier Ltd. All rights reserved.