On The Existence Of Positive Solutions Of Kinds Of P-Lapacian Difference Equations

The thesis is divided into four sections according to contents.In Chapter 1, Preface, we introduce the main contents of this paper.In Chapter 2, we study the existence of positive solutions of p-Lapacian difference equations and some new approaches.In Chapter 3, we study the existence of positive solutions of p-Laplacian difference equations by the fixed point theorem.In this paper, the existence of three positive solutions for p-Laplacian difference equations are established by using the fixed point theorem, as an application,one example is given to illustrate the main result.In Chapter 4, we study the existence of three positive solutions of p-Laplacian difference equations by using the fixed point theorem, as an appli-cation,one example is given to illustrate the main result.In Chapter 5, By using a developed fixed point theorem, some new ex-istence criteria for positive solutions of the boundary value problem are pre-sented, especially, the nonlinear term f(t, u) is allowed to change sign. We establish sufficient conditions for the existence of at least two positive solutions of the boundary value problem,...