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Numbers of Subnormal Solutions for Higher Order Periodic Differential Equations

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Acta Mathematica Sinica,English Series 2011年第9期27卷 1753-1768页

作者： zong xuan chen Kwang Ho SHON School of Mathematical Sciences South China Normal University Guangzhou 510631 P. R. China Department of Mathematics College of Natural Sciences Pusan National University Pusan 609-735 Korea

In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representati... 详细信息

关键词： Periodic differential equation subnormal solution hyper-order

On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients

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Acta Mathematica Sinica,English Series 2005年第4期21卷 753-764页

作者： zong xuan chen Kwang Ho SHON Department of Mathematics South China Normal University Guangzhou 510631 P. R. China Department of Mathematics College of Natural Sciences Pusan National University Pusan 609-735 Korea

In this paper, we investigate the growth and fixed points of solutions and their 1st, 2nd derivatives, differential polynomial of second order linear differential equations with meromorphic coefficients, and obtain th... 详细信息

关键词： Differential equation Meromorphic function Order of growth Fixed point

On Value Distribution of Δ~nf

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Acta Mathematica Sinica,English Series 2014年第10期30卷 1795-1809页

作者： Shuang Ting LAN zong xuan chen School of Mathematical Sciences South China Normal University

In this paper, we mainly study zeros and poles of the forward differences △nf（z）, where f（z） is a finite order meromorphic function with two Borel exceptional values.

关键词： Borel exceptional value deficient value value distribution

Some Results on Difference Riccati Equations

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Acta Mathematica Sinica,English Series 2011年第6期27卷 1091-1100页

Some properties of solutions for the difference Riccati equations are obtained. The existence and forms of rational solutions, and the Borel exceptional value, zeros, poles and fixed points of transcendental solutions... 详细信息

关键词： Difference Riccati equation rational solution transcendental solution Borel exceptionalvalue

Properties on Solutions of Some q-Difference Equations

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Acta Mathematica Sinica,English Series 2010年第10期26卷 1877-1886页

作者： Bao Qin chen zong xuan chen Sheng LI School of Mathematical Sciences South China Normal University Guangzhou 510631 P. R. China

We consider the properties on solutions of some q-difference equations of the form ∑ n j=0 aj（z）f（qj z）=an＋1（z）, where a0（z）,..., an＋1（z） are meromorphic functions, a0（z）an（z） ≠ 0 and q ∈ C such that 0 〈｜q｜ ≤ 1. We give estimates on the upper bound for the length of the gap in the power series of entire solutions of （＊） when the coefficients a0（z）,..., an＋1（z） are polynomials and 0 〈｜q｜〈 1. For some special cases, we give estimates of growth of f（z）. And we also show that the case 0 〈｜q｜〈 1 is different from the case ｜q｜=1.

关键词： q-difference equation entire coefficient Fabry gap growth

Value Distribution of Meromorphic Solutions of Some q-Difference Equations

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Journal of Mathematical Research and Exposition 2011年第4期31卷 698-704页

作者： Xiu Min ZHENG zong xuan chen Institute of Mathematics and Information Science Jiangxi Normal University Jiangxi 330022 P. R. China School of Mathematical Sciences South China Normal University Guangdong 510631 P. R. China

In this paper, we consider the value distribution of meromorphic solutions of order zero of some kind of q-difference equations and examples are also given to elaborate our results.

关键词： q-difference equation meromorphic solution zero-order.

Some Properties of Solutions of Periodic Second Order Linear Differential Equations

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Journal of Mathematical Research and Exposition 2011年第2期31卷 279-286页

作者： Li Peng XIAO zong xuan chen Institute of Mathematics and Informations Jiangxi Normal University Jiangxi 330022 P. R. China School of Mathematical Science South China Normal University Guangdong 510631 P. R. China

In this paper,the zeros of solutions of periodic second order linear differential equation y ＋ Ay = 0,where A（z） = B（e z ）,B（ζ） = g（ζ）＋ p j=1 b ？j ζ ？j ,g（ζ） is a transcendental entire function of lower order no more than 1/2,and p is an odd positive integer,are *** is shown that every non-trivial solution of above equation satisfies the exponent of convergence of zeros equals to infinity.

关键词： periodic differential equation complex oscillation regular order of growth

A prognostic four-gene signature and a therapeutic strategy for hepatocellular carcinoma:Construction and analysis of a circRNA-mediated competing endogenous RNA network

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Hepatobiliary & Pancreatic Diseases International 2024年第3期23卷 272-287页

作者： Hai-Yan Zhang Jia-Jie Zhu zong-Ming Liu Yu-xuan Zhang Jia-Jia chen Ke-Da chen Zhejiang Chinese Medical University Hangzhou 310053China Shulan International Medical College Zhejiang Shuren UniversityHangzhou 310015China State Key Laboratory for Diagnosis and Treatment of Infectious Diseases National Clinical Research Center for Infectious DiseasesNational Medical Center for Infectious DiseasesCollaborative Innovation Center for Diagnosis and Treatment of Infectious DiseasesThe First Affiliated HospitalZhejiang University School of MedicineHangzhou 310009China

Background:Hepatocellular carcinoma(HCC)has a poor long-term *** competition of circular RNAs(circRNAs)with endogenous RNA is a novel tool for predicting HCC *** on the alterations of circRNA regulatory networks,the analysis of gene modules related to HCC is ***:Multiple expression datasets and RNA element targeting prediction tools were used to construct a circRNA-microRNA-mRNA network in *** function,pathway,and protein interaction analyses were performed for the differentially expressed genes(DEGs)in this regulatory *** the proteinprotein interaction network,hub genes were identified and subjected to regression analysis,producing an optimized four-gene signature for prognostic risk stratification in HCC ***-HCC drugs were excavated by assessing the DEGs between the low-and high-risk groups.A circRNA-microRNA-hub gene subnetwork was constructed,in which three hallmark genes,KIF4A,CCNA2,and PBK,were subjected to functional enrichment ***:A four-gene signature(KIF4A,CCNA2,PBK,and ZWINT)that effectively estimated the overall survival and aided in prognostic risk assessment in the The Cancer Genome Atlas(TCGA)cohort and International Cancer Genome Consortium(ICGC)cohort was *** inhibitors,PI3K inhibitors,HDAC inhibitors,and EGFR inhibitors were predicted as four potential mechanisms of drug action(MOA)in high-risk HCC *** analysis has revealed that PBK,CCNA2,and KIF4A play a crucial role in regulating the tumor microenvironment by promoting immune cell invasion,regulating microsatellite instability(MSI),and exerting an impact on HCC ***:The present study highlights the role of the circRNA-related regulatory network,identifies a four-gene prognostic signature and biomarkers,and further identifies novel therapy for HCC.

关键词： Hepatocellular carcinoma circRNA-related ceRNA network Biomarker Least absolute shrinkage and selection operator Bioinformatics

Data-driven active vibration control for helicopter with trailing-edge flaps using adaptive dynamic programming

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Chinese Journal of Aeronautics 2024年第6期37卷 151-166页

作者： Yu chen Qun zong Xiuyun ZHANG Jinna LI School of Electrical and Information Engineering Tianjin UniversityTianjin 300072China School of Information and Control Engineering Liaoning Petrochemical UniversityFushun 113001China

The helicopter Trailing-Edge Flaps(TEFs)technology is one of the recent hot topics in morphing wing *** employing controlled deflection,TEFs can effectively reduce the vibration level of ***,designing specific vibration reduction control methods for the helicopters equipped with trailing-edge flaps is of significant practical *** paper studies the optimal control problem for helicopter-vibration systems with TEFs under the framework of adaptive dynamic programming combined with Reinforcement Learning(RL).Time-delay and disturbances,caused by complexity of helicopter dynamics,inevitably deteriorate the control performance of vibration *** solve this problem,a zero-sum game formulation with a linear quadratic form for reducing vibration of helicopter systems is presented with a virtual *** this context,an off-policy reinforcement learning algorithm is developed to determine the optimal control *** algorithm utilizes only vertical vibration load data to achieve a policy that reduces vibration,attains Nash equilibrium,and addresses disturbances while compensating for time-delay without knowledge of the dynamics of the helicopter *** effectiveness of the proposed method is demonstrated in a virtual platform.

关键词： Active control Adaptive dynamic program-ming Helicopter rotor Vibration control Zero-sum game