With Laplace Type Differential Equation Boundary Value Problem Of The Existence Of Positive Solutions

This paper mainly investigates some positive solutions to boundary value problems for p-Laplacian differential equations on time scale. Building operator on the Banach space, Using the fixed point theorem, nonlinear operator et al methods and the sets which have special characters on time scales, it researched deeply positive solutions of boundary value problem for p-Laplacian equations on time scales. This thesis consists of three chapters.In chapter2, we consider the existence of a positive solution for a first-order p-Laplacian BVP with impulsive on time scales Using the fixed theory, we establish a Banach space and an appropriate operator. Our main contribution is to combined the first-order p-Laplacian BVP with impulsive dynamic equation. We obtain some new solutions, our results here have generalize recent results on this type of problem.In chapter3, we are interested in the three positive solutions of BVP for p-Laplacian impulsive two-dimensional functional dynamic equations on a time scale Using the five-functional fixed theory, we establish a Banach space and an appropriate op-erator. In the paper, our main contribution is to combine the delta-nabla p-Laplacian BVP with impulsive functional dynamic equations. We obtain some new solutions, and our result here has generalize recent results on this type of the problem.