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The Existence of Solutions to a Class of Multi-point Boundary Value Problem of Fractional Differential Equation

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Journal of Mathematical Research with Applications 2013年第2期33卷 175-188页

作者： Xiaohong HAO Zongfu ZHOU Department of Mathematical Sciences Anhui University

In this paper,we consider the following multi-point boundary value problem of fractional differential equation Dα0+u(t) = f(t,u(t),Dα 10+u(t),Dα 20+u(t),Dα 30+u(t)),t ∈(0,1),mI4 α0+u(0) = 0,Dα 10+u(0) =i=1αiDα 10+u(ξi),Dα 20+u(1) =nj=1βjDα 20+u(ηj),Dα 30+u(1) Dα 30+u(0) = Dα 20+u(12),where 3 < α≤ 4 is a real *** applying Mawhin coincidence degree theory and constructing suitable operators,some existence results of solutions can be established.

关键词： fractional differential equation multi-point boundary value problem coincidence degree.

Thermal Quantum Discord in Pure Dzyaloshinskii–Moriya Model with Magnetic Field

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Communications in Theoretical Physics 2016年第6期65卷 691-694页

作者：李大创李小曼曹卓良 Institute for Quantum Control and Quantum Information and School of Electronic and Information Engineering Hefei Normal University Hefei 230601 China Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics University of Science and Technology of China Hefei 230026 China School of Physics Material Science Anhui University Hefei 230039 China

We investigate the effects of the directions of Dzyaloshinskii–Moriya(DM) interaction vector and magnetic field on the quantum discord in the pure DM model. For different directions of DM vector, we find that there are different optimal parameter components of magnetic field. Moreover, we find that the optimal parameter components rules are the same for the Hamiltonian H_1 and H_2. According to the rules, for a certain axial DM vector, we can get the maximal quantum discord by adjusting the direction of the external magnetic field, which is feasible under the current experimental technology.

关键词： quantum discord Heisenberg model Dzyaloshinskii–Moriya interaction

Temperature-insensitive Mach-Zehnder interferometric strain sensor based on concatenating two waist-enlarged fiber tapers

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Chinese Optics Letters 2012年第7期10卷 11-14页

作者：徐峰李灿任东旭卢璐吕卫卫冯飞俞本立 School of Physics and Materials Science Anhui University

A novel temperature-insensitive strain sensor, based on an in-line Mach-Zehnder interferometer, is fabri- cated by concatenating two waist-enlarged fiber tapers separated by a short piece of photonic crystal fiber. The interference spectrum of the proposed sensor is analyzed in detail. Experimental results demonstrate that this sensor has a strain sensitivity of 3.02 pm/μe and maintains the temperature insensitivity feature. The proposed sensor has great potential in diverse sensing applications due to its advantages, such as its compact size, low cost, and simple fabrication process.

关键词： Optical fiber fabrication Photonic crystal fibers

Probabilistic linguistic term ordered weighted distance operator and its applications in public Eco-environment satisfaction evaluation

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Journal of Control and Decision 2022年第1期9卷 58-70页

作者： Xi Liu Zhifu Tao Huayou Chen Ligang Zhou School of Mathematics and Statistics Hefei Normal UniversityHefeiPeople’s Republic of China School of Economics Anhui UniversityHefeiPeople’s Republic of China School of Mathematical Sciences Anhui UniversityHefeiPeople’s Republic of China

This thesis aims to propose a novel distance operator,the probabilistic linguistic term ordered weighted distance(PLTOWD)operator,which enriches the distance theory in probabilistic linguistic term *** PLTOWD operator is an efficient tool to deal with qualitative evaluation information and their corresponding probabilities or importance ***,some of its desired properties and different families of thePLTOWDoperator are ***,the extensions of the PLTOWD operator are also ***,a method of multiple attribute group decision making(MAGDM)in probabilistic linguistic term information is proposed on the basis of the PLTOWD ***,a numerical evaluation example in public Eco-environment satisfaction is developed to illustrate the practicability and effectiveness of the given *** discussions and comparisons are carried out according to the case results.

关键词： MAGDM probabilistic linguistic term set distance operator PLTOWD operator public Eco-environment satisfaction evaluation

Remarks on the Regularity Criteria of Three-Dimensional Navier-Stokes Equations in Margin Case

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Journal of Partial Differential Equations 2011年第1期24卷 70-82页

作者： ZHANG Xingwei ZHANG Wenliang DONG Bo-Qing School of Mathematical Sciences Anhui University Hefei 230039 China.

In the study of the regularity criteria for Leray weak solutions to threedimensional Navier-Stokes equations, two sufficient conditions such that the horizontal velocity u satisfies u∈L2（0,T;BMO（R3）） or u∈L^2/1... 详细信息

关键词： Regularity criteria Navier-Stokes equations BMO Besov space.

Two Regularity Criteria Via the Logarithm of the Weak Solutions to the Micropolar Fluid Equations

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Journal of Partial Differential Equations 2012年第1期25卷 32-40页

作者： GALA Sadek YAN Jia Department of Mathematics University of MostaganemBox 227Mostaganem 27000Algeria School of Mathematical Sciences Anhui UniversityHefei 230039China

In this note, a logarithmic improved regularity criteria for the micropolar fluid equations are established in terms of the velocity field or the pressure in the homogeneous Besov space.

关键词： Micropolar fluid equations regularity criterion Besov spaces.

临界情形下拟线性椭圆方程Nemann问题正解的多重性(英文)

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应用数学 2012年第2期25卷 447-453页

作者：赵俊华汪全珍李健平安徽大学数学科学学院安徽合肥230039

本文讨论某个非线性椭圆方程的Neumann问题在临界情形下正解的多重性.通过Nehari流形的分解,我们证明该方程至少有两个不同的正解.

关键词： Nehari流形正解临界指数 Neumann问题

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抛物型薛定谔方程的最优正则性估计(英文)

应用数学 2012年第1期25卷 181-187页

作者：黄胜兰汪全珍陈志安徽大学数学科学学院安徽合肥230039

本文通过特征化抛物型薛定谔算子t-Δ+V的域,探讨了抛物型薛定谔方程u/t-Δu+Vu=f在Orlicz空间中的最优正则性估计,并且对空间的维数没有限制.

关键词：抛物型薛定谔方程最优正则性 Orlicz空间

VO_4^(3-)在R_2V_2O_7:Eu^(3+)(R=Sr,Ca,Ba)的宽带发射(英文)

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稀有金属材料与工程 2012年第S2期41卷 524-527页

作者：钱仕兵马永青杨奎吴丹丹张贤郑赣鸿吴明在李广安徽大学安徽省信息材料与器件重点实验室安徽合肥230039

R2V2O7:Eu3+(R=Ca,Sr,Ba)样品由溶胶凝胶法制备。研究了样品的发光性能。随着R离子半径的增加,样品的发射光谱出现了一个450～750nm宽的发射宽带。发射谱在617nm的发射峰来自于Eu3+的5D0-7Fj的跃迁,除此之外,在510nm出现了另一最强发射... 详细信息

R2V2O7:Eu3+(R=Ca,Sr,Ba)样品由溶胶凝胶法制备。研究了样品的发光性能。随着R离子半径的增加,样品的发射光谱出现了一个450～750nm宽的发射宽带。发射谱在617nm的发射峰来自于Eu3+的5D0-7Fj的跃迁,除此之外,在510nm出现了另一最强发射峰,归因于VO43-离子团的本质的发射。另外,可以改变R离子半径来控制蓝绿光和红光强度的比例,这可能是一个很好的应用。

关键词：荧光粉 (Ca,Sr,Ba)2V2O7:Eu3+ 光致发光宽带发射