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

Abstract EN

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 (?=ℝ) and difference equations (?=ℤ), as well as in general time scales setting.

As an application, an example is given to illustrate the results.