Existence Of Positive Solutions Of Nonlinear Integral Equations With Product Perturbations

In this thesis,we discuss the existence of positive solutions to some class of nonlinear integral equations with product perturbations.The thesis is divided into four chapters.In chapter 1,we introduce the backgrounds of the problem and the main results of this thesis.In chapter 2,we introduce the basic definitions,properties and theorems.In chapter 3N we investigate the existence of positive solutions of a nonlinear infinite delay integral equation:x(t)= g(t,x(t)))?-?ta(t,t-s)f(s,x(s))ds,t?R.Chapter 4 is concerned with the existence of positive solutions for a more general neutral integral equation:x(t)= g(t,x(t))[?(t)x(t-?)+?-?t a(t,t-s)f(s,x(s))ds + h(t,x(t))],t?R.