This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
本文给出了延迟微分方程数值解的稳定性分析。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
Some general theorems are available about the existence and global continuation of periodic solutions in symmetric delay differential equations.
关于对称时滞微分方程中的周期解的存在性和全局持续存在性，现在已有一些一般性的理论。
In the paper, several numerical methods based on the models of delay differential equations and partial delay differential equations are constructed.
本论文以延迟常微分方程和延迟偏微分方程为模型构造了一些数值方法，并对每一个数值方法都进行了理论分析。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
The present paper is devoted to the oscillations and nonoscillations of a kind of impulsive delay differential equations with piecewise constant argument.
文章将建立了具有分段常数滞后变元微分方程组振动的一个充分条件，并讨论其非振动解的渐近性。
On the basis of the asymptotic stability of generalized delay differential equations(GDDEs), the numerical solutions of one block methods for GDDEs were analysed.
在广义延迟系统渐近稳定的前提下，分析了用块方法求解广义延迟系统数值解的稳定性。
The oscillatory criteria of even order nonlinear neutral delay differential equations are studied. The results obtained extend several results in known literature.
研究一类非线性的偶数阶中立型时滞微分方程，得到了该类方程解振动的几个新的判别准则，得到的结果推广了已有文献中的结果。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2.
随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
My current research interests include theory of delay differential equations and reaction-diffusion equations and also their application to neural networks and biological dynamic systems.
研究方向包括时滞微分方程和反应扩散方程理论及其在神经网络和生物动力系统方面的应用。
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。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.
考虑一类中立型时滞双曲微分方程，得到了该方程振动的一个充分条件。
By applying a fixed point theorem, the authors study the existence of positive periodic solutions to a class of differential equations with stated-dependent delay.
运用不动点定理，研究一类具状态依赖时滞的微分方程周期正解的存在性。
This paper states the expressions of solution of some differential equations with delay.
给出了一类具有滞量的微分方程解的部分表达式。
So, it has a practical significance to study the character of solutions of either degenerate differential system with delay or impulsive differential equations with delays.
因此研究退化、脉冲时滞微分方程解的性态具有重要的现实意义。
In this paper, we have studied the oscillation of the first order neutral functional differential equations with delay and advanced argument, obtained, some sufficient conditions extended and impoved.
本文研究了既有滞后量又有超前量的一阶中立型常系数微分方程的振动性，得到了其振动的几个充分条件。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性，得到了该类方程的若干新的振动准则。
The necessity of solving delay item of delay-differential equations, the special significance of delay-differential equations and the deficiency of the existing approach are introduced.
介绍了延迟微分方程延迟项求解的必要性、在控制领域的特殊意义及当前求解方法存在的不足。
The neutral delay nonlinear hyperbolic differential equations is considered. A sufficient condition for the oscillation on the equations is obtained.
考虑一类中立型时滞双曲微分方程，得到了该方程振动的一个充分条件。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the comparison method, an approximate approach to the delay-differential equations is proposed in this paper. The proof of its convergence and calculation stability is also given.
本文应用比较方法，提出滞后型泛函微分方程初始问题的近似解法，给出了解的近似迭代序列及其误差估计式，并证明迭代序列的收敛性和计算稳定性。
In this paper, some properties of solutions to a class of high order neutral differential equations with continuously distributed delay are studied.
研究了一类具有连续分布滞量的高阶中立型方程解的性质。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
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