MULTIFRACTAL ANALYSIS OF THE CONVERGENCE EXPONENT IN CONTINUED FRACTIONS

Let x∈(0,1)be a real number with continued fraction expansion[a_(1)(x),a_(2)(x),a_(3)(x),⋯].This paper is concerned with the multifractal spectrum of the convergence exponent of{a_(n)(x)}_(n≥1) defined by τ(x):=inf{s≥0:∑n≥1an^(-s)(x)<∞}.

On the Location of Zeros of Higher Order Differential Equation

In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order differential equation, which can be regarded as an alternating but precise version of Wu and Yi.

SECTORIAL OSCILLATION THEORY OF LINEAR DIFFERENTIAL EQUATIONS

In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some results in [19] and [18].

ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f（z） of equation……satisfies ）λ（f） =∞, where A（f） denotes the exponent of convergence of zeros of the meromor- phic function f（z）.

Growth of Solutions of Some Linear Difference Equations with Meromorphic Coefficients

In this paper, we investigate the properties of solutions of some linear difference equations with meromorphic coefficients, and obtain some estimates on growth and value distribution of these meromorphic solutions.

Complex oscillation of certain high non-homogeneous linear differential equations

This present paper investigates the complex oscillation theory of certain high non-homogeneous linear differential equations and obtains a series of new results.

单位圆内高阶非齐次微分方程复振荡与解及其任意阶导数的不动点

本文研究一类单位圆内有穷迭代级解析系数的高阶非齐次线性微分方程的复振荡与解及其任意阶导数的不动点问题,得到解的迭代增长级,迭代级零点收敛指数的更精细的估计,并得到解的不动点与解的任意阶导数的不动点分布的精确估计.所得结果是已有相关结果的推广.

Locally Defined Operators and Locally Lipschitz Composition Operators in the Space WBVp(·)([a, b])

We give a neccesary and sufficient condition on a function such that the composition operator (Nemytskij Operator) H defined by acts in the space and satisfies a local Lipschitz condition. And, we prove that every locally defined operator mapping the space of continuous and bounded Wiener p(&#183;)-variation with variable exponent functions into itself is a Nemytskij com-position operator.

基于HHT能量和最大Lyapunov指数的蛇行分类方法

现有蛇行监测标准仅考虑构架横向加速度信号的时域幅值信息,通过单一的固定值去评判列车是否蛇行,没有定量反映蛇行失稳对列车的影响程度;针对以上问题,提出基于HHT的能量法,该方法从信号频域主频的大小,频谱的集中性以及频率值等方面来判断高速列车是否发生蛇行运动;在此基础上,提出了快速蛇行收敛的概念,此类情况对车辆系统运行安全影响较小,因此是不影响车辆系统安全的信号;最后,利用最大Lyapunov指数表征信号的周期性,从而区分快速蛇行收敛和蛇行运动(小幅蛇行和大幅蛇行);结果表明,通过HHT能量法与最大Lyapunov指数相结合可以对高速列车正常运行、快速蛇行收敛、小幅蛇行和大幅蛇行的4种运行状态进行定性识别,且HHT能量值能定量反映蛇行程度的大小,并通过实测线路数据验证了方法的可行性。

Estimates for the zeros of differences of meromorphic functions

Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.

ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions.

ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

In this paper, we investigate the complex oscillation of higher order homogenous and non- homogeneous linear differential equations with meromorphic coefficients of iterated order, and obtain some results which improve and extend those given by Z. X. Chen, L. Kinnunen, etc.

The Properties of Bianalytic Functions with Zero Arc at a Pole

In this paper, the properties of bianalytic functions w（z） = z^-Ф1（z） ＋Ф2（z） with zero arc at the pole z = 0 are discussed. Some conditions under which there exists an arc γ, an end of which is z = 0, such that w（z） =0 for arbitary z ∈γ／{0} are given. Secondly, that the limit set of w（z） is a circle or line as z → 0 is proved in this case. Finally, two numerical examples are given to illustrate our results.

系数是周期2πi的二阶复微分方程

该文主要通过学习了Laine的经典著作《Nevanlinna Theory and Complex Differential Equations》中关于系数A(z)是周期2πi的二阶复微分方程f"(z)+A(z)f(z)=0,λ(f)<∞的相关章节内容,发现了原来文献证明中存在的一个本质错误并给予了部分证明更正,同时也给出了一些较原文献中证明错误的结果的稍弱更正结论.

一类非线性复微分差分方程超越整函数解的性质

本文主要运用亚纯函数值分布理论及其差分模拟和Hadamard分解定理,研究了一类非线性复微分差分方程超越整函数解的增长级和零点收敛指数问题,并分析了该类方程的超越整函数解是指数单项式形式解时的情形。

隔离抑或融合:民俗体育参与的性别变化研究——广西马山县壮族会鼓与打扁担的田野考察

基于社会性别理论,对广西马山县壮族会鼓与打扁担参与中的性别变化问题进行田野考察。研究发现,这两项传统上具有性别隔离特征的活动在当下出现了性别融合现象,这既表现为女性参与传统上为男性所专属的会鼓,也表现为少数男性参与为女性所专属的打扁担。但是,融合主要体现在两项活动作为非物质文化遗产展示与旅游文艺表演的公共场域,在活动原本存在的民间仪式与健身娱乐等私域,隔离仍然存在。研究认为,不同场域中性别融合与隔离并存的原因在于民俗体育文化在现代变迁中出现了"前台"与"后台"之隔,它们分别对应不同的功能需求,也因此塑造不同的性别参与特征。以此为基础,比较相关研究,提炼出能更合理理解当下民俗体育参与性别变化的理论解释,并思考这一解释可能具有的政策启示。

一类二阶微分方程的解和小函数的关系

在文中研究了一类二阶线性微分方程的解以及它们的一阶,二阶导数,微分多项式与小函数之间的关系．

结构可靠度FORM方法的混沌动力学分析

引入混沌动力学理论讨论了FORM收敛失败的非线性动力学根源.给出了几个典型函数在参数区间上的可靠指标分岔图,展示了极限状态函数经过FORM迭代成为非线性映射后计算结果的周期振荡、分岔和混沌等复杂动力学现象,计算了非线性映射的Lyapunov指数.结果表明,极限状态函数设计点的曲率大小与FORM的收敛性没有简单的联系,判别FORM迭代计算收敛性的指标是非线性映射的Lyapunov指数.

多相感应电机指数响应电子变极方法研究

为了拓宽多相交流传动系统的调速范围,在多相系统变换理论和多相电机矢量控制的基础上,提出了一种基于指数响应的多相感应电机电子变极调速方法。该方法通过转子磁场定向矢量控制产生不同极对数的谐波电流来驱动电机旋转,不同极对数的转矩电流按照指数曲线进行切换,从而控制电机实现了在不停电情况下的电子变极,解决了变极过程中转矩和速度波动大的问题。该文以五相感应电机为例,对提出的变极方法进行实验验证,给出了其在转子磁场定向矢量控制下的1对极和2对极之间相互电子变极的实验结果,实验结果表明所提出的方法能够在不停电的情况下实现平滑的电子变极调速,使转矩和转速波动减弱。

小麦株型分类探讨

对小麦的狭义株型从不同角度进行定性分类,提出了量化指标。根据茎秆分布形态,小麦的株型可分为W型、V型、桶型、长条型、线状型等基本类型。一般常把小麦株型分为扩张型、松散型和紧凑型三类。通过试验比较植株茎秆的收敛程度认为:用形态特点描述株型更为准确合理,且易于量化描述和品种辨别。