All particular solutions can be obtained separately on two sub-domain in this paper, these solutions can from the determining equation of the problem about the interface of sub-areas.

In this paper,the all particular solution field is formed by utilization of corre-spondent fundamental solutions,so that all elements in the coefficient matrix of boundaryelement equations for problems to be solved will be determined.

Differential operator method for particular solution for second-order constant coefficient linear differential equation;

The method of characteristic root formula of particular solution of inhomogeneous linear ordinary differential equation with constant coefficients of two-order;

A New Method of Extracting the particular solution on Nonhomogeneous Linear Differential Equation of the First order;

The particular solutions to one kind of systems of second order differential equations with constant coefficients;

A new derivation and applications for the formulae of the particular solutions of the nonhomogenous linear differential equations with constant coefficients;

By the method of comparative coefficient,the particular solution formulas of first-order constant coefficient difference equation yt+2+pyt+1+qyt=(α1t+α0)dt and yt+2+pyt+1+qyt=(α1t+a0α) sinωt are given;and the particular solutions of such difference equations can be directly got by it.

A new algorithm for special solution of linear differential equation;

Under the condition of R (X X ) < p-m+1. The special solution of characteristic equation application;

A special solution formula for nth-order inhomogeneous linear differential equation;