Study Of A Class Of Evolution Equations Containing A Convolution Operator

It is here considered some correlative properties of solution of evolution equations containing a convolution operator. It is also introduced that the background of the generation of this equation,the development process , the present situation as well as the relationship between the one and the heat equation . This class comes from the heat equation ,but can image the thing's properties more and more extensively. It is also accounted for that some people's work and the mathematical methods and the main results they have obtained in recent years, especially for the existence,uniqueness and stablity of travelling wave solutions of diffusion equation , as well as the behavior of the solutions.