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2003-2017 数学
为您找到包含“”的内容共4615

HOU Zhenting,ZHANG Zhuo,HOU Xianmin

In this paper, we investigates the stability of switched stochastic differential systems whose switching signal is a semi-Markovian process. Firstly, we transform this kind of systems to Markovprocesses and define their generators under suitable condition.Secondly, we give some sufficient conditions for their exponentialstability.

2017-05-11

Specialized Research Fund for the Doctoral Program of Higher Education(20130162110070

School of mathematics and statistics, Central South University, Changsha 410075 ,School of mathematics and statistics, Central South University, Changsha 410075 ,College of Information and Management Science, Henan Agricultural University, Zhengzhou 450000

#Mathematics#

1评论(0 分享(0)

刘春迪,王术

2017-05-11

本文主要研究了迁移率互异的漂流扩散模型在一维有界区域一般初边值条件下的拟中性极限和混合层问题. 首先, 利用密度函数变换把原来模型转化成等价模型,研究等价模型的拟中性极限和混合层问题.其次,利用奇异摄动理论渐近匹配方法构造近似解函数,得出近似解函数性质;再其次,推导出误差函数; 最后,对误差函数进行能量估计,得到原方程解到约化方程解的收敛性.

高等学校博士学科点专项科研基金(20131103110029

河南省自然科学基金(162300410084

国家自然科学基金(11371042

北京工业大学应用数理学院,北京 100024,北京工业大学应用数理学院,北京 100024

#数学#

0评论(0 分享(0)

莫智文,刘军

2017-05-12

研究了含参数三粒子纯态为信道的受控隐形传态, 以无控保真度和最小控制力两种方法分析了协议中控制方的权威作用. 针对单参数三粒子纯态, 结论表明此类量子态不适宜用作任意单粒子受控隐形传态的量子信道. 但是, 对于满足一定条件的单粒子量子态, 存在合适的单参数量子态信道, 甚至是任意的单参数量子态信道, 能够保证控制方的权威. 对于含多参数三粒子纯态, 得到了控制力有意义时的参数条件, 并给出了满足条件的几类特殊三粒子纯态表达式.

高等学校博士学科点专项科研基金(20135134110003

国家自然科学基金(11671284

四川师范大学数学与软件科学学院, 成都~~610068,四川师范大学数学与软件科学学院, 成都~~610068

#数学#

0评论(0 分享(0)

Hua-Lin Huang,Yuping Yang

In this paper, we study Lie algebras in symmetric linear Gr-categories with focus on those with nontrivial associativity constraints. Such Lie algebras are natural counterparts of the well known Lie coloralgebras which live in linear Gr-categories with associativity isomorphisms being identity. We give the reduced form of the Lie algebras in symmetric linear GR-category and prove the PBW theorem which is a unified form of that for ordinary Lie algebras, Lie superalgebras and Lie coloralgebras.

2017-05-17

SRFDP(20130131110001

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021 ,School of Mathematics and Statistics, Southwest University, Chongqing 400715

#Mathematics#

0评论(0 分享(0)

Chi Zhang, Hua-Lin Huang

The doubling construction is a fast and important way to fill in the blanks of the solution table to the Hurwitz problem on sums of squares identities. By taking advantage of twisted group algebras over $Z_2^n$ and intercalate matrices, we generalize the doubling construction and obtain from any known admissible triple $[r,s,n]$ a series of new ones $[r+ ho(2^{m-1}),2^ms,2^mn]$ for all positive integer $m,$ where $ ho$ is the Hurwitz-Radon function.

2017-05-17

SRFDP(20130131110001

School of Mathematics, Shandong University, Jinan 250100, China ,School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

#Mathematics#

0评论(0 分享(0)

Tan Ju,Deng Shaoqiang

In this paper, we consider a special class of solvable Lie groups such that for any $x, y$ in its Lie algebra, $[x, y]$ is a linear combination of $x$ and $y$. We investigate the harmonicity properties of invariant vector fields of this kind of Lorentzian Lie groups. It is shown that any invariant unit time-like vector field is spatially harmonic. Moreover, we determine all vector fields which are critical points of the energy functional restricted to the space of smooth vector fields.

2017-05-12

SRFDP of China (20130031110005

School of Mathematical Sciences, Nankai University, Tianjin 300071,School of Mathematical Sciences, Nankai University, Tianjin 300071

#Mathematics#

0评论(0 分享(0)

Tan Ju,Deng Shaoqiang

In this paper, we find all the left-invariant harmonic unit vector fields on the oscillator groups. Besides, we determine the associated harmonic maps from the oscillator group into its unit tangent bundle equipped with the associated Sasaki metric. Moreover, we investigate the stability and instability of harmonic unit vector fields on compact quotients of four dimensional Oscillator group $G_1(1)$.

2017-05-12

SRFDP of China (20130031110005

School of Mathematical Sciences, Nankai University, Tianjin 300071,School of Mathematical Sciences, Nankai University, Tianjin 300071

#Mathematics#

0评论(0 分享(0)

YANG Xue

In this paper, we consider stochastic partial differential equations driven by space-time white noise. The coefficients are nonlinear and depend on the past of the solution. We prove, under reasonable conditions, that the law of the solution admits a density with respect to Lebesgue measure.

2017-05-16

Specialized Research Fund for the Doctoral Program of Higher Education(20130032120072

School of Mathematics, Tianjin University, Tianjin 030000

#Mathematics#

0评论(0 分享(0)

XIE Gui-Ling,XIAO Ying-Qing

M. Bonk and T. Foertsch introduced the notion of asymptotic upper curvature for Gromov hyperbolic spaces and suggested to study the asymptotic upper curvature of hyperbolic products. In this paper, we study these problems and prove that$$K_u(Y_{Delta,o})leqmax{K_u(X_1),K_u(X_2)},$$where $(X_1,o_1),(X_2,o_2)$ are two point Gromov hyperbolic spaces, $Y_{Delta,o}$ is their hyperbolic product and $K_u(X)$ is the asymptotic upper curvature of a hyperbolic space $X$. Moreover, we obtain some extra conditions to sure that $K_u(Y_{Delta,o})$ is no smaller than $K_u(X_2)$.

2017-05-22

National Natural Science Foundation of China(11301165

College of Mathematics and Econometrics, Hunan University, Changsha, 410082 ,College of Mathematics and Econometrics, Hunan University, Changsha, 410082

#Mathematics#

0评论(0 分享(0)

YU Fei

We get anupper bound of the slope of each graded quotient for theHarder-Narasimhan filtration of the Hodge bundle of a Teichmüller curve. As an application, we show that the sum ofLyapunov exponents of a Teichmüller curve does not exceed${(g+1)}/{2}$, with equality reached if and only if the curve liesin the hyperelliptic locus induced from$mathcal{Q}(2k_1,...,2k_n,-1^{2g+2})$ or it is some specialTeichm"{u}ller curve in $Omegamathcal{M}_g(1^{2g-2})$.

2017-05-16

Ph.D. Programs Foundation of Ministry of Education of China (20130121120042

School of Mathematical Sciences, Zhejiang University, Hangzhou 310007

#Mathematics#

0评论(0 分享(0)