查询词典 oscillation equation

We further study the forced oscillation and we obtain the oscillation criteria for the unbounded solutions of the in-homogeneous hyperbolic equation.

我们还研究了强迫振动并且得到了非齐次双曲方程无界解的振动判别准则。

In this paper, the author investigate the oscillation of a class of second-order linear differential equation s with impulses, revealing the relation between this and the non linear differential equation s with impulses in Oscillation.

摘要研究一类二阶线性脉冲微分方程解的振动性，揭示了此类方程与相应的非脉冲方程在振动性方面的联系。

A new idea is come up as"quasi-double-degree oscillation"to explain the actions of the upper and nether water rivulet on cable surface. And study of those oscillation by the equilibrium equation has established based on our new idea.

另外对拉索表面上下雨流的作用提出了拟弯扭双自由度驰振的思想，建立拟弯扭双自由度驰振的平衡方程并进行了分析。

Time scale; delay dynamic equation; neutral dynamic equation; oscillation; generalized characteristic equation; Riccati transformation

基础科学，数学，数学分析时标；时滞动力方程；中立型动力方程；振动；广义特征方程； Riccati变换

This paper is composed of three chapters, which respectively discusses the following impulsive delay difference equations with discrete variables and continuous variables:In chapter 1, we investigate the oscillation and nonoscillation of equation and some sufficient conditions for oscillation and nonoscillation are obtained. Consequently we extend these results to the difference equations with several delays and with nonlinear impulsive perturbations and with variable delays respectively.

本篇论文由三章组成，分别讨论下面四类具离散变量和连续变量的脉冲差分方程这里p≥0，Q＞0，当n∈N(0)时；p∈C(-1，∞)，R~+，Q∈C

Proceeding from the kinetic equation, the occurrence of muscular fibre spontaneous oscillation is explained in a natural way, the period of isotonic spontaneous oscillation and the oscillation curves are consistent with experimental data, and some new theoretical results are presented.

从动力学方程出发，肌纤维自发振动的发生条件得到了自然解释，所给出的振动周期和振动曲线同实验结果相符，并给出了一些新的理论结果。

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

针对摆型振动模型中的数学问题，分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。

This paper extends the analysis for axial-system torsional oscillation into the nonlinear domain,and the research for Hopf ramification phenomena in axial-system torsional oscillation has been made using the time-domain simulating results,it verified the analysis results of similar nonlinear differential equation describing the axial-system torsional oscillations.

文中把发电机轴系扭振的分析扩展到非线性领域，并对轴系扭振中的Hopf分歧现象进行了研究，利用时域仿真结果对从描述轴系扭振的近似非线性微分方程分析所得结果进行了验证。

In the case that the oscillation factor isn't sign reversal and neutral factor is p, by discussing the sign of the neutral term's first derivative and using Holder inequality the oscillation conditions of the all solutions of this kind of equation are studied, three sufficient theories that all solutions of the equation oscillate are obtained.

在振动因子q保号、中立型因子p的情况下，通过对中立型项一阶导数符号的讨论，根据Holder不等式，研究了该类方程的解振动的条件，得到了所研究方程所有解振动的三个充分性定理，所得结论是对该类问题已有结论的进一步完善和推广。

Main contents are as follows :In chapter one, we give a survey to the development and current state of the oscillation of differential equations and difference equations. We also introduce some preliminary material , including some basic concepts of the oscillation theory and some important fixed point theorems.In chapter two, we investigate the oscillation of second order self-conjugate differential equation with impulses.

本文由五章组成，主要内容如下：第一章概述了微分方程及差分方程的应用背景和国内、外研究状况，这一章也包括一些预备知识，如有关微分方程、差分方程理论的基本概念和重要的不动点定理。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。