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Priori bounds are established for periodic solutions of a high order Rayleigh Equation with delay.

本文首先建立了一类具时滞高阶Rayleigh方程的周期解的先验有界性。

An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic de script ion about those orbits was also given.

证明在通有条件下，该异宿环附近存在可数无穷多条1-同宿轨，和可数无穷多个1-周期轨的单参数族，同时对这些周期轨和同宿轨作了直观描述。

G. , operator description, L〓 stability and asymptotic stability, and periodic invariance of system, is described, asynchronous learning control is also divided into time-domain methods and frequency-domain ones, and corresponding formulations are strictly derived.

本文其次研究了主要由日本学者提出与发展的迭代与重复自学习控制，并在此基础上，提出了统一的异步自学习控制理论。

In some materials with periodic variation of dielectric constants and light within a certain frequency range shows exponential decay due to destructive interference and cannot propagate. This phenomenon is called photonic bandgap and this kind of structures is called photonic crystals.

介电系数周期性排列的材料，部分波段会因破坏性干涉呈指数衰减，导致无法在此结构上传播，此现象称为光子能隙，此类具有介电系数周期性排列的结构则称为光子晶体。

In this paper, we give the upper bounds for inverse elements of strictly diagonally dominant periodic tridiagonal matrices.

本文给出了严格对角占优的周期三角矩阵逆元素的上界估计。

This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分别选取时标T为实数集或整数集时，则分别得到它的微分方程或差分方程周期解的存在性，这就避免了对这些生态系统的微分和差分方程周期解的存在性分别进行讨论。

The researches in this paper have offered solutions to initial value problem for ordinary differential equation involving difference of two monotone functions, ordinary differential equation with integral boundary conditions, and first-order impulsive ordinary differential equation with anti-periodic.

本文结果包含了具有两个函数差的常微分方程初值问题(当 Ik=Gk=0，λ1=λ2=0 时)，常微分方程积分边值问题(当 Ik=Gk=0，g=0，λ1=0，λ2=±1时)，一阶脉冲微分方程反周期边值问题(当 g=0，Gk=0，λ2=d=0 时)的相关结果。

Differential Difference Equation; Neutral Functional Differential Equation; Stability Switch; Characteristic Equation; Stability; Liapunov Method; Monotone Semiflow; Periodic Solution

基础科学，数学，数学分析微分差分系统；中立型泛函微分方程；特征方程；稳定性开关；解的稳定性；李雅普诺夫方法；单调半流；周期解

As for the periodic solution in the vehicle system, it is discretized by using the finite difference method.

铁道车辆系统动力学研究已经有相当长的历史了，但真正系统有效的工作却是在计算机和计算数学飞速发展的20世纪60年代以后。

In the second section,we study the problem of periodic for third-order functional differential equation with deviating argument of the form x""+ ax"+ bx"+ cx + gx

第三节研究三阶具偏差变元微分方程cx+sum from i=0 to2[a_ix~(2k-1+b_ix~(i2k-1]+g1x(t+g2x(t-τ=p的周期解问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。