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1·The research of delay differential equation is very important in theory and in practice.

这篇文章的主要目的是研究时滞对种群生长的作用。

2·The stability of general linear methods for a nonlinear multi-delay differential equation;

讨论非线性变延迟微分方程初值问题一般线性方法的稳定性。

3·One of them is piecewise continuous argument delay differential equation, simply called EPCA.

其中第一类为分段连续的时滞微分方程，简称为epca。

4·Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.

建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。

5·In the second chapter, we study an infinite delay differential equation, the system was widely applied in the biology, neural network and some other fields.

第二章是研究一类无穷时滞微分系统，此系统在生物，神经网络等领域中都有广泛应用。

6·The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.

利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。

7·System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation.

由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。

8·This paper made use of oscillations of delay differential equation and difference equation, established oscillation criteria for nonlinear difference equation with continuous argument.

通过时滞微分方程和离散差分方程的振动性，建立了具有连续变量的非线性差分方程的振动性条件。

9·Considering a kind of neutral delay differential equations, a sufficient condition for the oscillation of all solutions of neutral delay differential equation in critical state is obtained.

讨论了一类中立型时滞微分方程所有解的振动性，获得了临界状态下该方程所有解振动的一个充分条件。

10·The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.

第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。