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ITÔDIFFERENTIAL REPRESENTATION OF SINGULAR STOCHASTIC VOLTERRA INTEGRAL EQUATIONS

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Acta Mathematica Scientia 2020年第6期40卷 1989-2000页

作者： Nguyen tien dung Division of Computational Mathematics and Engineering Institute for Computational ScienceTon Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam

In this paper we obtain an Itôdifferential representation for a class of singular stochastic Volterra integral *** an application,we investigate the rate of convergence in the small time central limit theorem for the ... 详细信息

关键词： stochastic integral equation Itôformula central limit theorem

Asymptotic Expansions of Backward Equations for Two-time-scale Markov Chains in Continuous Time

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Acta Mathematicae Applicatae Sinica 2009年第3期25卷 457-476页

作者： dung tien Nguyen Department of Mathematics Wayne State University

This work develops asymptotic expansions for solutions of systems of backward equations of time- inhomogeneous Maxkov chains in continuous time. Owing to the rapid progress in technology and the increasing complexity in modeling, the underlying Maxkov chains often have large state spaces, which make the computa- tional tasks ihfeasible. To reduce the complexity, two-time-scale formulations are used. By introducing a small parameter ε〉 0 and using suitable decomposition and aggregation procedures, it is formulated as a singular perturbation problem. Both Markov chains having recurrent states only and Maxkov chains including also tran- sient states are treated. Under certain weak irreducibility and smoothness conditions of the generators, the desired asymptotic expansions axe constructed. Then error bounds are obtained.

关键词： Markov chain backward equation two-time scale asymptotic expansion

ASYMPTOTIC BEHAVIOR OF LINEAR ADVANCED DIFFERENTIAL EQUATIONS

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Acta Mathematica Scientia 2015年第3期35卷 610-618页

作者： Nguyen tien dung Department of Mathematics FPT University 8 Ton That ThuyetMy DinhTu LiemHanoiVietNam

In this article, we consider a general class of linear advanced differential equa- tions, and obtain explicitly sufficient conditions of convergence and exponential convergence to zero. A necessary condition is provid... 详细信息

关键词： Advanced differential equations asymptotic behaviors fixed points

Comparative Study of Light Manipulation in Three-level Systems Via Spontaneously Generated Coherence and Relative Phase of Laser Fields

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Communications in Theoretical Physics 2019年第8期71卷 947-954页

作者： Nguyen Huy Bang le Nguyen Mai Anh Nguyen tien dung le Van Doai Vinh University 182 Le Duan Street Vinh City Vietnam Nong Lam University Ho Chi Minh City Vietnam (Received March 21 2019revised manuscript

We present a comparative study of the control of group velocity in three-level atomic systems including Λ-, Ladder-, and V-types via spontaneously generated coherence(SGC) and relative phase of laser *** the steady regime, expressions of group index are derived as an analytical function of controllable parameters related to SGC and relative *** is shown that the group velocity can be further slowed down or speeded up under SGC in which modifications of group velocity due to the SGC in Λ-and V-systems are stronger than that in *** particular, when interference strength of SGC p increases from 0.7 to 1.0, the light propagation is switched from superluminal to subluminal modes(for Λ-and Ladder-systems) or from subluminal to superluminal modes(for Vsystem).In the presence of relative phase, the group velocity changes between subluminal and superluminal modes with a period of 2π.In resonant region, the largest positive value of group index reaches at the relative phase φ=π while the largest negative value of group index reaches at φ= 0 and 2π for the Λ-and Ladder-systems, otherwise, for the V-system the largest positive group index occurs at φ= 0 and 2π, and the largest negative group index occurs at φ=π.

关键词： electromagnetically induced transparency spontaneously generated coherence group velocity

A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES

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Acta Mathematica Scientia 2023年第1期43卷 184-204页

作者： Duong Viet THONG Vu tien dung Division of Applied Mathematics Thu Dau Mot UniversityBinh Duong ProvinceVietnam Department of Mathematics University of ScienceVietnam National University334 Nguyen TraiThanh XuanHanoiVietnam

In this paper,we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert *** solving this problem,we propose a new method that combines the advantages of the subgradient extragradient method and the projection contraction *** very recent papers have considered different inertial algorithms which allowed the inertial factor is chosen in[0;1].The purpose of this work is to continue working in this direction,we propose another inertial subgradient extragradient method that the inertial factor can be chosen in a special case to be *** suitable mild conditions,we establish the weak convergence of the proposed ***,linear convergence is obtained under strong pseudomonotonicity and Lipschitz continuity ***,some numerical illustrations are given to confirm the theoretical analysis.

关键词： subgradient extragradient method inertial method variational inequality problem pseudomonotone mapping strong convergence convergence rate

Cholecystitis-an uncommon complication following thoracic duct embolization for chylothorax: A case report

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World Journal of Clinical Cases 2022年第24期10卷 8775-8781页

作者： le Viet dung Ma Mai Hien Thieu-Thi Tra My Doan tien Luu le Tuan Linh Nguyen Minh Duc Diagnostic Imaging and Interventional Radiology Center Hanoi Medical University HospitalHanoi 100000Vietnam Department of Radiology Hanoi Medical UniversityHanoi 100000Vietnam Department of Radiology Pham Ngoc Thach University of MedicineHo Chi Minh 700000Vietnam

BACKGROUND Chylothorax is an uncommon condition in which chyle leaks into the pleural cavity,and biliary peritonitis is a rare complication of thoracic duct embolization in clinical *** SUMMARY We describe the case of a 50-year-old woman who presented with chylothorax and underwent thoracic duct embolization using a coil and a mixture of histoacryl glue and *** patient developed upper abdominal pain and fever after the *** was diagnosed with biliary peritonitis and treated with cholecystectomy at Hanoi Medical University *** Although thoracic duct embolization is considered a safe and minimally invasive procedure,it is not without *** thoracic duct embolization,severe or persistent abdominal pain should be explored utilizing imaging data and laboratory results to determine problems as soon as possible.

关键词： Lymphangiography Thoracic duct embolization Cholecystitis Chyle leakage Biliary peritonitis Case report

DENSITY ESTIMATES FOR SOLUTIONS OF STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

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Acta Mathematica Scientia 2019年第4期39卷 955-970页

作者： Nguyen tien dung Ta Cong SON Tran Manh CUONG Nguyen Van TAN Trinh Nhu QUYNH Department of Mathematics FPT University Hoa Lac High Tech Park Hanoi Vietnam Department of Mathematics VNU Hanoi University of Science 334 Nguyen Trai Thanh Xuan Hanoi Vietnam Department of Foundation Academy of Cryptography Techniques Hl Chien Thang Thanh Tri Hanoi Vietnam Military Information Technology Institute 17 Hoang Sam Cau Giay Hanoi Vietnam

In this article, we investigate the density of the solution to a class of stochastic functional differential equations by means of Malliavin calculus. Our aim is to provide upper and lower Gaussian estimates for the d... 详细信息

关键词： Stochastic functional differential equations density estimates Malliavin calculus

Examining unobserved factors associated with red light running in Vietnam:A latent class model analysis

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Transportation Safety and Environment 2022年第1期4卷 110-122页

作者： tien dung Chu Tomio Miwa Tuan Anh Bui Quang Phuc Nguyen Quang Huy Vu Department of Highway and Traffic Engineering University of Transport and CommunicationsNo.3 Cau Giay StreetLang Thuong WardDong Da DistrictHanoi 10001Vietnam Institute of Materials and Systems for Sustainability Nagoya UniversityFuro-choChikusa-kuNagoya cityAichi Prefecture464-8603Japan

Red-light running(RLR)is a crucial violation that causes traffic accidents and *** factors that affect RLR is very significant to reduce the potential of this *** studies have paid considerable attention to the observable factors,but not to unobservable *** study aims to examine the effects of observable and unobservable factors on *** study uses a latent class model(LCM)to assign individuals into two classes—red-light-respectful and red-light-disrespectful road users—by surveying 751 respondents who use private transportation *** study incorporates psychological determinants into the LCM to account for unobservable *** contribution of this study is the in-depth investigation into law-respectful and law-disrespectful behaviours and intentional and unintentional *** a study has not yet been conducted in the existing *** addition,a comprehensive comparison of the LCM and a traditional ordered probit model was ***,the results suggest that the LCM is superior to the model that does not consider latent *** estimation results are in alignment with previous studies on RLR:males,younger drivers/riders,less educated road users and motorcyclists are more likely to run red *** analysis of the latent variables shows that surrounding conditions—the behaviour of other violators,the absence of traffic police,and long waiting times—increase the possibility of *** on these results,we provide suggestions to policymakers and traffic engineers:the implementation of enforcement cameras and penalties for violators are critical countermeasures to minimize the potential of RLR.

关键词： red light running(RLR) developing country latent class model(LCM) multiple indicator multiple cause(MIMIC)model latent variables(LVs) motorcycles(MCs) traffic violation

Flexible Wing Kinematics of a Free-Flying Beetle （Rhinoceros Beetle Trypoxylus Dichotomus）

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Journal of Bionic Engineering 2012年第2期9卷 177-184页

作者： tien Van Truong Tuyen Quang le Doyoung Byun Hoon Choel Park Minjun Kim Department of Aerospace and Information Engineering Konkuk University Seoul South of Korea Department of Mechanical Engineering Sungkyunkwan University Suwon South of Korea Department of Advanced Technology Fusion Konkuk University Seoul South of Korea Department of Mechanical Engineering Drexel University Philadelphia Pennsylvania USA

Detailed 3-Dimensional （3D） wing kinematics was experimentally presented in free flight of a beetle, Trypoxylus dichotomus, which has a pair of elytra （forewings） and flexible hind wings. The kinematic parameters such as the wing tip trajectory, angle of attack and camber deformation were obtained from a 3D reconstruction technique that involves the use of two synchronized high-speed cameras to digitize various points marked on the wings. Our data showed outstanding characteristics of deformation and flexibility of the beetle＇s hind wing compared with other measured insects, especially in the chordwise and spanwise directions during flapping motion. The hind wing produced 16% maximum positive camber deformation during the downstroke. It also experienced twisted shape showing large variation of the angle of attack from the root to the tip during the upstroke.

关键词： beetle free flight 3D wing kinematics flexible hind wing wing deformation