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Abstract: We investigate a class of singular -point -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 and difference equations , as well as general time scales setting. As an application, an example is given to illustrate the results. [Copyright &y& Elsevier]

Abstract: This paper is concerned with the following discrete system,By using the theory of the fixed-point index, sufficient conditions are obtained for the existence of positive solution to the above system. [Copyright &y& Elsevier]