本文给出了延迟微分方程数值解的稳定性分析。
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
研究了一类多延迟微分方程数值方法的散逸性问题。
This paper is concerned with the dissipativity of Runge-Kutta methods for multidelay differential equations.
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。
The stability of general linear methods for a nonlinear multi-delay differential equation;
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。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
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 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.
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。
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.
研究二维非线性延迟抛物型微分方程交替方向差分方法。
The alternating direction difference method for the two-dimensional nonlinear delay parabolic differential equation is given.
摘要针对一类能够由中立型变延迟非线性微分方程描述的神经网络模型，给出了全局渐近稳定的不依赖于时间延迟的充分条件。
A sufficient condition guaranteeing the global asymptotical stability of the equilibrium point is derived for a class of neural network models with variable delay and neutral type delay.
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 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 paper, several numerical methods based on the models of delay differential equations and partial delay differential equations are constructed.
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