Positive solutions of the p-Laplacian dynamic equations on time scales with sign changing nonlinearity

Abstract

This article concerns the existence of positive solutions for p-Laplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the nonlinear term is allowed to change sign. An example illustrates our results.

Keywords

• Time scales
• p-Laplacian
• positive solutions
• fixed point index
• cone