By using the Abstract continuity theorem,we study the problem of periodic solution of the nonlinear neutral differential equation,and obtain sufficient conditions for the existence of periodic solutions related with delay,and proves conclusions in the literature.

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The Adomian decomposition method is described briefly in this paper,and a new method is proposed to solve a class of Volterra predator-prey models by using the Adomian decomposition method.Some properties of these solutions are discussed in details.The results show that the method can be applied to a broad class of nonlinear equations.

We discuss the stability of a class of linear neutral differential equations: [x(t)-∑mi=1aix(t-τi)]′=bx(t)+∑nj=1cjx(t-σj)By constructing Liapunov functional,the sufficient conditions of the asymptotic stability are obtained.

The Adomian decomposition method is described briefly,and apply the thought to solve a type of Predator-Preg Models quantitative behavior.