The detailed interferential quomodo of the coexisting substances were concluded.

In the regular solution problem of the perturbation equation,the solution of convergence order is important.

This paper gives some new and easy to test criteria, can discriminate invertibility of A class of nondiagonally dominant matrices, and gives the upper bound of |A-1| and the error estimate of solving relevant perturbation equations (A + A)(x + 6x) = b+b by simple and convenient method.

An iterative method is designed to advance the Ishikawa iteration and solve perturbed equations of accretive operators.

Lamè function and perturbation method to nonlinear evolution equations;

In the paper,perturbation method is applied to the parameter identification for convection diffusion equation and Tikhonov′s regularization method is used to solve the system of linear equations which has been obtained.

Based on the Lamé equation and new Lamé functions, the perturbation method and Jacob i elliptic function expansion method are applied to get the multi-order exact s o lutions of a kind of nonlinear evolution equations (such as mKdV equation, nonli near Klein-Gordon equation Ⅱ etc.

This paper was based on the optimizing regular solution of general disturbed equation in paper [1], then discussed its asymptotic convergence.

We discuss the stability of the solutions of the singalar integral equations with Cauchy kernel in L 2 ω and get the estimation of the solutions of the disturbed equations, and prove the continuous dependence of the solutions for known functions.

This article gives the stability conditions,gets the estimation of the solutionfor the disturbed equation, and proves the continuing dependence of the solution for theknown functions.