By changing the problem into a mixed problem with initial value at negative infinity and proving the existence and uniqueness of the solution to the producing problem,it discusses the propagation of pulses at t=-∞ and introduces a scattering operator to describe the process that the.

Strong-contraction integrated semigroups and dissipative operators;

In an ordered Banach space,a generation theorem,about increasing integrated semigroups of strong-contractions,is obtained in terms of resolvent positive operators and dissipative operators.

It is used to solve the structure of natural boundary space of a class of p-dissipative operator in Banach space.

A weak form discrete operator method of solving thin plate bending problems;

Eigenprojections and eigennilpotents of a discrete operator;

In this paper, a series of numerical experiments and some theoretical analysis have been done carefully for the well known difference schemes of five-point and nine-point which provide approximations to the diffusion operator in the two-dimensional energy equation with three-temperature.