Differential Equations Numerical Computation And Stability Study

In this paper, we mainly discuss the convergence condition of iterative sequence of the solution , a new method for the convergence on wave relaxation, asymptotic stability for a class of perturbing nonautonomous neutral differential equations.In chapter 1, we obtain the convergence condition of iterative sequence of the solutionofIn chapter 2, we obtain a new method for the convergence on wave relaxationIn chapter 3, we investigate the 3/2-stability for perturbibg nonautonomous neutral differential equations with two different delay and obtain sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable . The criteria are of simple forms , easily checked , and applicable.