在第三章中，给出了非齐次抽象时滞方程的一些结果。
In the third chapter, some results of inhomogeneous abstract delay equations are given.
通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。
In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay eq.
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.
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.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
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.
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.
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.
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.
这个模型是一个六阶时滞微分方程。
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.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
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.
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.
众所周知，时滞系统的特征方程对某一固定的时滞来说有无穷多个根，并且这些根也是很难解出的。
As everyone knows that the characteristic equations of the delay systems have infinite roots for a fixed delay and it is hard to solve for them.
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.
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.
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.
本文通过对高弹性顶杆式带锯机张紧系统时滞状态方程的分析，得出了确定带锯机张紧系统时滞的有效方法。
It give out an efficient method of saw band machine tensile system lag determination through the analysis of time lag state equation on high elasticity mandril model saw band machine tensile system.
首先采用摄动法从理论上推导出时滞动力系统的分叉响应方程，再采用数值模拟的方法研究了时滞参数对系统分叉响应的影响。
Perturbation method is used to obtain the bifurcation equation with time-delays, and numerical method is utilized to analyze the effect of time-delays on the steady state response.
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.
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.
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.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
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