Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity

By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an m-point singular p-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (T = R) and difference equations (T = Z), as well as in general time scales setting. As an application, an example is given to illustrate the results. Copyright (C) 2009 Qiying Wei et al.