To study the stability of difference equation methodis a powerful Liapanov direct method,this method is the core idea of the equation for the study,constructed the corresponding Liapanov function,use it to determine the stability equation.

Optimization of adaptive direct methods of Fredholm integral equations of several variables;

The Important Role of Direct Method of Social Work in FP Work at Grassroot Level;

The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is de-veloped by Lyapunov direct method.

The optimization of direct methods and information complexity for approximate solution of operator equation are two main aspects of information-based complexity theory, which has been developed from the eighties and is an interdiscipline of computer science and mathematics.

Then the Lyapunov direct method and Runth-Hurwith criteria are used to analyze and study the gain s scope of controlled system and the asymptotic stability at the equilibrium point.

It was proved by use of the method of first approximation and Lyapunov direct method that the.

Research on MMSE-BLE algorithm with direct FFT method and simulation of performance;