这个模型是一个六阶时滞微分方程。
其中第一类为分段连续的时滞微分方程，简称为epca。
One of them is piecewise continuous argument delay differential equation, simply called EPCA.
利用重合度理论讨论一类多个时滞微分方程的周期解的存在性。
By suing coincide degree theory, this paper discusses the existence of periodic solution for a kind of differential equation with several delays.
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。
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.
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。
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.
本文主要讨论了两类二阶脉冲时滞微分方程的渐近性态及振动性。
In this paper, we consider the oscillatory and asymptotic behavior of two kinds of two order impulsive functional differential equations.
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。
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.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
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。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.
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。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
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。
Some general theorems are available about the existence and global continuation of periodic solutions in symmetric delay differential equations.
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。
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.
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。
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 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.
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。
The oscillatory criteria of even order nonlinear neutral delay differential equations are studied. The results obtained extend several results in known literature.
利用变形边界函数法与上下解方法，研究了一类具非线性边界条件的半线性时滞微分方程边值问题，得到了此边值问题解的存在性的充分条件。
The asymptotic behavior for a class of higher-order delay partial differential equations be investigated in this paper, some asymptotic behavior be established, which expanded some references.
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。
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.
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。
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.
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。
The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
本章同样使用优级数法讨论一类带时滞的迭代微分方程解析解的存在性。
In this chapter, existence of analytic solutions of an iterative differential equation with state-dependent delays is studied by using a similar method.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
首先将系统的运动微分方程改写成状态空间模型，其控制输入中存在时滞。
The differential equation of motion of the system is first transformed to a state-space model with time delay control input.
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。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
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.
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 obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.
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。
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。
The neutral delay nonlinear hyperbolic differential equations is considered. A sufficient condition for the oscillation on the equations is obtained.
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