THREE POSITIVE SOLUTIONS TO BVP FOR p-LAPLACIAN IMPULSIVE FUNCTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

In this paper,we are interested in the existence of three positive solutions to a BVP for p-Laplacian impulsive functional dynamic equations on a time scale.Using the five-functional fixed theory,we establish a Banach space and an appropriate operator.In this paper,we combine the delta-nabla p-Laplacian BVP with impulsive functional dynamic equations,and obtain some new sufficient conditions for the existence of three positive solutions to the BVP,and our result here generalizes the previous related results.