查询词典 limit circle

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式，结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作，并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

The main objective of this paper is to extend and complete the Sims limit-point, limit-circle classification on second order linear differential equations with a complex coefficient , and to study its Weyl function and Weyl solution , then we obtain some new results.

本文的主要目的是推广和完善Sims关于复系数二阶微分方程的极限点和极限圆理论，并且研究了它的Weyl函数和Weyl解，得到了一些新的结论。

In this paper,the mechanism of circle existing in nature is discussed,the circle contribution to mathematics is analyzed,a design of limit circle model for sustainable development for economics and society is put forward.

探讨了自然界圆形存在的机理，分析了圆对数学发展的贡献，提出了建立经济与社会可持续发展极限环模型的设想。

The averaging method is used to analyze this model,the phase diagrams and the time history curve of this system are achieved,the results show that its movement converges to a limit circle oscillation.

利用平均法对系统进行了近似求解，得到了系统的运动相图及时间历程曲线，结果表明系统运动收敛于稳定的极限环，所得结果与实验吻合得较好。

Phase portrait technique was used to analyze the horizontal motion of a roll and determine a limit circle which could describe the path of sticking-sliding motion.

应用相平面法分析了轧辊水平运动规律，并确定了粘着-滑动运动的极限环，定性地分析了轧辊水平运动的动力学特性。

Using numerical analysis and visual technology, the parameters of the known Rayleigh van der pol equation are discussed in detail The relation between the limit circle and chaos strange attractors is foun

通过数值分析及科学可视化技术，对著名的 Rayleigh Van Der Pol方程的参数进行较详细的讨论，获得该方程的混沌吸引子与极限环的关系

Circle ; natural attribute ; variation ; limit circle ; sustainable development ; square ; harmoniousness ; coexist

圆； 自然属性；变分；极限环；可持续发展；方；和谐；共处

The global stability of the positive equilibrium in this system is expounded by using the stability and qualitative theory of the ordinary difference equation,then the existence,the uniqueness and the global stability of the limit circle are proved,thus some former conclusions are extended.

利用微分方程稳定性和定性理论讨论该系统的正平衡点的全局稳定性问题，并得到了极限环的存在唯一性及其全局稳定性，推广了已有的一些结论。

Deviate argument; Limit circle case; Limit point case; The boundedness of solutions; Integral inequality

基础科学，数学，数学分析偏差变元；极限圆型；极限点型；有界性；积分不等式

We are interested in your suggestions about appointing us to be the single dealer.

对贵方建议由我方担任独家经销商一事，我们颇感兴趣。

Three types of empty-shell marriages have been identified. In a devitalized relationship husband and wife lack excitement or any real interest in their spouse or their marriage.

一种是死气沉沉的婚姻：在这种婚姻关系中夫妻俩对于配偶或婚姻缺乏激情，或者缺乏真正的兴趣。