1 The difference equations for the basic variables are: where and.

2 We proceed by first setting out the difference equations for the variables and in this case.

3 Methods: Theory of difference equation.

4 We have proved that difference equation is compatible with partial differential equation and the algorithm is countably stable in our case.

5 CONCLUSION Model of nonlinear difference equation has the advantage of reliability and stability.

6 From our examples we can see difference equation method is a simple and practical method.

7 The algorithm is deduced and difference equation of parameter error given by which the algorithm convergence is proved theoretically.

8 The time difference equation derived from unsaturated flow equation can be approximated by Galerkin finite element or finite difference method for space coordinate derivatives.

9 A delay difference equation with piecewise constant nonlinearity is studied.

10 This paper gives out solutions of linear first-order difference equation system and probes into the change trend of solutions.

11 RESULTS Model of nonlinear difference equation that describes the growth of population has been established.

12 Feedback control method is used to solve implicit difference equation in this paper.

13 Because it bases on difference equation that signifies now time system output with the weighted sum of last time output and now time input.

14 The statistics indicate a reasonable level of explanation for a difference equation.

15 Two - point boundary value problems order type integro - differential - difference equation is studied by means of differential inequality theories.

16 Then for higher order chaotic discrete-time system, the approach discussed can be degraded to one order difference equation. As a result,[] chaotic discrete-time system can be easily solved by Matlab.

17 By using fixed point theorem and constructing almost periodic sequence solution for difference equation, the authors get the sufficient conditions for the existence of the almost periodic solution.

18 The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.

19 This paper discusses some problems in the classical solution of difference equation.

20 This method can be combined with various methods finite difference equation.

21 With the aid of discrete Du's Transformation, we can solve the zero-state response of a discrete-time system usually described by a linear difference equation.

22 By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.

23 These results generalize and improve some known results about both neutral and delay difference equation.

24 By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.

25 In this paper a linear estimation problem for a stochastic process which is viewed as the output signal of a linear second-order vector difference equation driven by a white-noise input is considered.

26 A smooth filter is adopted to analyze the contour features of environment, and the differential flatness feature map on projection plane is obtained with one order difference equation.

27 An adaptive equalizer of dispersive non-linear channels based on non-linear difference equation model is proposed.

28 Based on transmission boundary condition, gives calculation method for value of dynamic model equation, pipeline discrete form, memory method for coefficient and difference equation.

29 In order to get FDTD iterative computation stable, FDTD numerical method should increase the subsidiary variable and the corresponding auxiliary difference equation.

30 The equivalent force control method is used to solve implicit difference equation.

31 This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.