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Radon transforms on Siegel-type nilpotent Lie groups

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Frontiers of Mathematics in China 2019年第5期14卷 855-866页

作者： Xingya FAN Jianxun HE Jinsen XIAO wenjun yuan School of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046China School of Mathematics and Information Sciences Guangzhou UniversityGuangzhou 510006China School of Sciences Guangdong University of Petrochemical TechnologyMaoming 525000China

Let ■:=Hn x C^n be the Siegel-type nilpotent group,which can be identified as the Shilov boundary of Siegel domain of typeⅡ,where Hn denotes the set of all n x n Hermitian *** this article,we use singular convolution operators to define Radon transform on ■ and obtain the inversion formulas of Radon ***,we show that Radon transform on ■ is a unitary operator from Sobolev space W^n,2 into L^2(■).

关键词： Siegel domain Siegel-type nilpotent group Fourier transform Radon transform

ON SCHWARZ-PICK TYPE INEQUALITY FOR MAPPINGS SATISFYING POISSON DIFFERENTIAL INEQUALITY

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Acta Mathematica Scientia 2021年第3期41卷 959-967页

作者： Deguang ZHONG Fanning MENG wenjun yuan Department of Applied Statistics Guangdong University of FinanceGuangzhou 510521China School of Mathematics and Information Science Guangzhou UniversityGuangzhou 510006China

Let f be a twice continuously differentiable self-mapping of a unit disk satisfying Poisson differential inequality |△f(z)| ≤ B · |Df(z)|^(2) for some B > 0 and f(0) = 0. In this note, we show that f does not always satisfy the Schwarz-Pick type inequality (1-|z|^(2))/(1-|f(z)|^(2))≤ C(B),where C(B) is a constant depending only on B. Moreover, a more general Schwarz-Pick type inequality for mapping that satisfies general Poisson differential inequality is established under certain conditions.

关键词： Schwarz-Pick inequality Poisson differential inequality hyperbolically Lipschitz continuity

On factorizable solution of the differential equation(f')~2-a_0(z)(f-a)1(z))~2f

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Chinese Science Bulletin 1997年第21期42卷 1779-1782页

作者： yuan wenjun and HE YuzanInstitute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China Institute of Mathematics Chinese Academy of Sciences Beijing China

If the coefficients are transcendental, Bergweiler et al. proved that in all possible non-trivialfactorization f(z)=h(g(z)), the growth of the right factor g(z) can be controlled by thegrowth of the coefficients. In ref. [2], He and Laine proved a similar conclusion for two othertypical kinds of nonlinear differential equations. But for the following equation:

关键词： factorization growth order meromorphic function ordinary differential equation.

Nondestructive test of weld residual stresses by acoustoelastic technique

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China Welding 1994年第1期3卷 45-52页

作者： Jiao Fujie Zhang wenjun and yuan Zhikang (Shanghai University of Engineering Science)

The fundamentals of acoustoelastic theory and the principle of acoustoelastic nondestructive stress analysis related ultrasonic test Instrument for weld residual stresses are described. The weld residual stress distribution in butt-welded joints was measured by the acoustoelastic stress analysis, which uses the pulse echo overlap method to measure the speed difference in ultrasonic shear waves polarized in principal directions, and a new method of evaluating the material anisotropy is proposed. The results indicate that the anisotropic coefficient of the welded metal is much greater than that of the parent metal. the longitudinal residual stress distributions measured by the acoustoelastic technique are coincident with those obtained by the theoretical analysis, and the measuring accuracy is much greater than that obtained by the resistance strain gauge.

关键词： acoustoelasticity weld residual stress ultrasonic measurement

The Meromorphic Solutions of the Zakharov-Kuznetsov Modified Equal Width Equation

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Analysis in Theory and Applications 2017年第4期33卷 323-332页

作者： Guoqiang Dang wenjun yuan Lixia Cui Yongyi Gu School of Mathematics and Information Science Guangzhou University

In this paper, we use the complex method to obtain all meromorphic solu- tions of the complex Zakharov-Kuznetsov modified equal width equation, then find the exact traveling wave solutions of the Zakharov-Kuznetsov mo... 详细信息

关键词： Exact solution meromorphic function elliptic function.

ON　THE　EXISTENCE　OF　MEROMORPHIC　SOLUTIONS　OF　ALGEBRAIC　DIFFERENTIAL　EQUATIONS

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Systems Science and Mathematical Sciences 1996年第1期9卷 55-66页

作者： yuan wenjun(Depatment of Mathematics,Xinjiang Noormal University,Urumqi 830053, China) 新疆师范大学数学系新疆乌鲁木齐 830053

ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＯＦＭＥＲＯＭＯＲＰＨＩＣＳＯＬＵＴＩＯＮＳＯＦＡＬＧＥＢＲＡＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＹＵＡＮＷｅｎｊｕｎ（ＤｅｐａｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｘｉｎｊｉ... 详细信息

ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＯＦＭＥＲＯＭＯＲＰＨＩＣＳＯＬＵＴＩＯＮＳＯＦＡＬＧＥＢＲＡＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＹＵＡＮＷｅｎｊｕｎ（ＤｅｐａｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｊｉａｎｇＮｏｏｒｍａｌＵｎｉｖｅｒｓ...

关键词： Algebraic differential equation meromorphic function Aq-hypothesis holds Aq-M-hypothesis holds.

All Meromorphic Solutions of Some Algebraic Differential Equations

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Analysis in Theory and Applications 2014年第1期30卷 90-107页

作者： wenjun yuan Zifeng Huang Jinchun Lai Jianming Qi School of Mathematics and Information Science Guangzhou University Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes Guangzhou University Department of Mathematics and Physics Shanghai Dianji University

In this article, we introduce some results with respect to the integrality and exact solutions of some 2nd order algebraic DEs. We obtain the sufficient and necessary conditions of integrable and the general meromorphic solutions of these equations by the complex method, which improves the corresponding results obtained by many authors. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.

关键词： Differential equation general solution meromorphic function elliptic function.

Hybrid Model of Time Series Prediction Model for Railway Passenger Flow

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国际计算机前沿大会会议论文集 2019年第2期 525-527页

作者： Wei Sha Shuai Qiu wenjun yuan Zhangrong Qin Guangxi Key Lab of Multi-source Information Mining and Security Guangxi Normal University Guilin 541004 Guangxi China

Railway passenger flow forecasting is an important basis for scientific dispatching of railway transportation. In order to remedy the shortcomings of one single time series prediction method for passenger flow, a model of combining autoregressive integrated moving average (ARIMA) with extreme learning machine (ELM) based on wavelet transform, named WAADE is presented in this paper. Firstly, the complex railway passenger flow time series was decomposed into linear and non-linear components by wavelet transform. Then, the decomposed linear and non-linear components were predicted by using ARIMA and ELM respectively. Finally, the final prediction results were obtained through fusing the linear and nonlinear prediction results by wavelet transform once again. At the same time, considering the obvious seasonal and periodic regularity of the railway passenger flow data, a WAADES model was constructed combined the WAADE model with the seasonal model based on the entropy value method. The experimental results show that the prediction accuracy of proposed WAADE and WAADES model is higher than the one of the ARIMA or ELM or seasonal model when used alone. Because of the combination of seasonal characteristics, the prediction accuracy of WAADES model is higher than that of WAADE model. The effectiveness and superiority of the two combined models proposed are proved.

关键词： ARIMA model ELM model Wavelet transform Entropy value method Seasonal model

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城市地铁越江隧道上浮引起的土体变形分析

现代隧道技术 2014年第4期51卷 73-80页

作者：袁文军张少钦福州市建筑设计院福州350001 南昌航空大学土木建筑学院南昌330063

文章基于盾构隧道统一土体移动模型基本假定,建立了隧道上浮作用下的两圆顶部相切土体移动模型;利用Melan公式计算得出了隧道上浮引起的土体变形(上浮力作用下的土体变形,再叠加土体损失引起的土体变形)二维解;应用ABAQUS有限元分析软件... 详细信息

文章基于盾构隧道统一土体移动模型基本假定,建立了隧道上浮作用下的两圆顶部相切土体移动模型;利用Melan公式计算得出了隧道上浮引起的土体变形(上浮力作用下的土体变形,再叠加土体损失引起的土体变形)二维解;应用ABAQUS有限元分析软件,结合在建南昌地铁1号线抚河桥区段工程,建立计算模型,对隧道上浮引起的土体变形进行了模拟计算。结果表明,推导的土体变形二维解与数值模拟结果比较吻合;越江隧道上浮引起的土体变形规律是河底表面呈"倒沉降槽"形,深层土体呈"双弓"形,且其幅度随距隧道轴线距离增大而减小。

关键词：盾构隧道土体移动模型隆起位移土体变形二维解数值模拟