Table of Content

20 January 2007, Volume 27 Issue 1 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

UNIFORM PACKING DIMENSION RESULTS FOR MULTIPARAMETER STABLE PROCESSES Zhong Yuquan; Hu Dihe Acta mathematica scientia,Series B. 2007, 27 (1):  1-10.  DOI: 10.1016/S0252-9602(07)60001-0 Abstract ( 1764 )   RICH HTML PDF (179KB) ( 1841 )   Save In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform H\"older condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable (N,d,α)-process and αN ≤ d, then the following holds with probability 1 Dim Z(E) = α Dim E for any Borel set E∈ B(RN+), where Z(E)={x:\e t∈ E, Z(t)=x}. Dim(E) denotes the acking dimension of E. Related Articles | Metrics

Select

A NOTE ON ASYMPTOTIC BEHAVIOR FOR NEGATIVE DRIFT RANDOM WALK WITH DEPENDENT HEAVY-TAILED STEPS AND ITS APPLICATION TO RISK THEORY Wang Dingcheng; Su Chun Acta mathematica scientia,Series B. 2007, 27 (1):  11-24.  DOI: 10.1016/S0252-9602(07)60002-2 Abstract ( 1781 )   RICH HTML PDF (209KB) ( 1410 )   Save In this article, the dependent steps of a negative drift random walk are modelled as a two-sided linear process Xn=-μ +∑j=-∞∞ arphin-jεj, where {ε,εn ;-∞0 is a constant and the coefficients {\varphii; -∞<i<∞} satisfy 0<∑j=-∞∞|j arphij | <∞. Under conditions the distribution function of |ε| has dominated variation and ε satisfies certain tail balance conditions, the asymptotic behavior of P{supn≥0( -n μ +∑j=-∞∞εjβnj)> x } is discussed. Then the result is applied to ultimate ruin probability. Related Articles | Metrics

Select

COMPLETELY BOUNDED COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS Hou Chengjun; Wei Cuiping Acta mathematica scientia,Series B. 2007, 27 (1):  25-33.  DOI: 10.1016/S0252-9602(07)60003-4 Abstract ( 1603 )   RICH HTML PDF (167KB) ( 1414 )   Save The authors prove that all n-th completely bounded cohomology groups of a nest algebra $T({\cal N})$ acting on a separable Hilbert space are trivial when the coefficients lie in any ultraweakly closed $T({\cal N})$-bimodule containing the nest algebra. They also prove that $H_{cb}^n({\cal A},{\cal M})\cong H_{cb}^n({\cal A},{\cal A})$ for all $n\geq 1$ and a CSL algebra ${\cal A}$ with an ultraweakly closed ${\cal A}$-bimodule ${\cal M}$ containing ${\cal A}$. Related Articles | Metrics

Select

NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF NONNEGATIVE SOLUTIONS OF INHOMOGENEOUS p-LAPLACE EQUATION Dai Qiuyi; Peng Lihui Acta mathematica scientia,Series B. 2007, 27 (1):  34-56.  DOI: 10.1016/S0252-9602(07)60004-6 Abstract ( 1735 )   RICH HTML PDF (259KB) ( 1716 )   Save Let $\Omega$ be a smooth bounded domain in Rn. In this article, we consider the homogeneous boundary Dirichlet problem of inhomogeneous $p$-Laplace equation $-\Delta_p u=|u|^{q-1}u+\lambda f(x)$ on $\Omega$, and identify necessary and sufficient conditions on $\Omega$ and $f(x)$ which ensure the existence, or multiplicities of nonnegative solutions for the problem under consideration. Related Articles | Metrics

Select

VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cn Li Yingkui; Liu Peide Acta mathematica scientia,Series B. 2007, 27 (1):  57-66.  DOI: 10.1016/S0252-9602(07)60005-8 Abstract ( 1442 )   RICH HTML PDF (166KB) ( 1884 )   Save In this article, the authors study the vector-valued random power series on the unit ball of Cn and get vector-valued Salem--Zygmund theorem for them by using martingale technique. Further, the relationships between vector-valued random power series and several function spaces are also studied. Related Articles | Metrics

Select

SLIDING MODE CONTROL OF A CLASS OF ITO TYPE DISTRIBUTED PARAMETER SYSTEMS WITH DELAY Luo Qi; Deng Feiqi; Bao Jundong; Zhao Birong Acta mathematica scientia,Series B. 2007, 27 (1):  67-76.  DOI: 10.1016/S0252-9602(07)60006-X Abstract ( 1612 )   RICH HTML PDF (168KB) ( 1791 )   Save Sliding mode control problem of a class of Ito type partial differential equations with delay is probed. The variable structure controller is designed. The existence of motion of sliding mode is shown. And the character of invariance of sliding control system about uncertainty on the sliding switching surface and stability are analyzed. Related Articles | Metrics

Select

GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY Chen Zhenlong Acta mathematica scientia,Series B. 2007, 27 (1):  77-91.  DOI: 10.1016/S0252-9602(07)60007-1 Abstract ( 1730 )   RICH HTML PDF (205KB) ( 1382 )   Save Let $\widetilde{W}$ be a two-parameter, Rd-valued generalized Brownian sheet. The author obtains an explicit Bessel--Riesz capacity estimate for the images of a two-dimensional set under $\widetilde{W}$. He also presents the connections between the Lebesgue measure of the image of $\widetilde{W}$ and Bessel--Riesz capacity. His conclusions also solve a problem proposed by J.-P.Kahane. Related Articles | Metrics

Select

BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN Mu Chunlai; Hu Xuegang; Li Yuhuan; Cui Zejian Acta mathematica scientia,Series B. 2007, 27 (1):  92-106.  Abstract ( 1876 )   RICH HTML PDF (177KB) ( 1690 )   Save This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut=△ ul+up1vq1 and vt=△ vm+up2vq2 with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p2q1-(l-p1)(m-q2), the initial data, and the domain $\Omega$. Related Articles | Metrics

Select

MULTIPLIERS AND TENSOR PRODUCTS OF L(p, q) LORENTZ SPACES Hakan Avci; A. Turan Gurkanli Acta mathematica scientia,Series B. 2007, 27 (1):  107-116.  Abstract ( 1774 )   RICH HTML PDF (177KB) ( 1288 )   Save Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p1, q1)(G) to L(p2', q2')(G). For this reason, the authors define the space Ap1,q1p2,q2(G), discuss its properties and prove that the space of multipliers from L(p1, q1)(G) to L(p2', q2')(G) is isometrically isomorphic to the dual of Ap1,q1p2,q2(G). Related Articles | Metrics

Select

ALMOST PERIODIC SOLUTION OF ONE DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATION Fu Yiping; Guo Boling Acta mathematica scientia,Series B. 2007, 27 (1):  117-124.  DOI: 10.1016/S0252-9602(07)60010-1 Abstract ( 1626 )   RICH HTML PDF (146KB) ( 1614 )   Save This article studies one dimensional viscous Camassa-Holm equation with a periodic boundary condition. The existence of the almost periodic solution is investigated by using the Galerkin method. Related Articles | Metrics

Select

A COMPARISON OF FORECASTING MODELS OF THE VOLATILITY IN SHENZHEN STOCK MARKET Pang Sulin; Deng Feiqi; Wang Yanming Acta mathematica scientia,Series B. 2007, 27 (1):  125-136.  DOI: 10.1016/S0252-9602(07)60011-3 Abstract ( 1789 )   RICH HTML PDF (727KB) ( 2393 )   Save Based on the weekly closing price of Shenzhen Integrated Index, this article studies the volatility of Shenzhen Stock Market using three different models: Logistic, AR(1) and AR(2). The time-variable parameters of Logistic regression model is estimated by using both the index smoothing method and the time-variable parameter estimation method. And both the AR(1) model and the AR(2) model of zero-mean series of the weekly closing price and its zero-mean series of volatility rate are established based on the analysis results of zero-mean series of the weekly closing price. Six common statistical methods for error prediction are used to test the predicting results. These methods are: mean error (ME), mean absolute error (MAE), root mean squared error (RMSE), mean absolute percentage error (MAPE), Akaike's information criterion (AIC), and Bayesian information criterion (BIC). The investigation shows that AR(1) model exhibits the best predicting result, whereas AR(2) model exhibits predicting results that is intermediate between AR(1) model and the Logistic regression model. Related Articles | Metrics

Select

RELATIONS BETWEEN PACKING PREMEASURE AND MEASURE ON METRIC SPACE Wen Shengyou; Wu Min Acta mathematica scientia,Series B. 2007, 27 (1):  137-144.  DOI: 10.1016/S0252-9602(07)60012-5 Abstract ( 1616 )   RICH HTML PDF (154KB) ( 1606 )   Save Let X be a metric space and [[mu]] a finite Borel measure on X. Let $\bar{\mathcal{P}}_{\mu}^{q,t}$ and ${\mathcal{P}}_{\mu}^{q,t}$ be the packing premeasure and the packing measure on $X$, respectively, defined by the gauge $(\mu B(x,r))^q(2r)^t$, where $q,t\in\mathbb{R}$. For any compact set $E$ of finite packing premeasure the authors prove: (1) if $q\leq 0$ then $\bar{\mathcal{P}}_\mu^{q,t}(E)={\mathcal{P}}_\mu^{q,t}(E)$; (2) if $q>0$ and $\mu$ is doubling on $E$ then $\bar{\mathcal{P}}_\mu^{q,t}(E)$ and ${\mathcal{P}}_\mu^{q,t}(E)$ are both zero or neither. Related Articles | Metrics

Select

ENTROPY PRODUCTION RATE OF THE MINIMAL DIFFUSION PROCESS Zhang Fuxi; Qian Min Acta mathematica scientia,Series B. 2007, 27 (1):  145-152.  DOI: 10.1016/S0252-9602(07)60013-7 Abstract ( 1656 )   RICH HTML PDF (162KB) ( 1521 )   Save The entropy production rate of stationary minimal diffusion processes with smooth coefficients is calculated. As a byproduct, the continuity of paths of the minimal diffusion processes is discussed, and that the point at infinity is absorbing is proved. Related Articles | Metrics

Select

THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION Shang Yadong Acta mathematica scientia,Series B. 2007, 27 (1):  153-168.  DOI: 10.1016/S0252-9602(07)60014-9 Abstract ( 1796 )   RICH HTML PDF (197KB) ( 1771 )   Save The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estimation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN, A}) → 0 are proved. Related Articles | Metrics

Select

BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING Kong Linghai; Huan Zhongdan; Guo Boling Acta mathematica scientia,Series B. 2007, 27 (1):  169-179.  DOI: 10.1016/S0252-9602(07)60015-0 Abstract ( 1669 )   RICH HTML PDF (187KB) ( 1451 )   Save In this article, the authors consider equation ut={\rm div}(\varphi (\Gamma u ) A(|D u|2)Du)-(u-I), where $\varphi$ is strictly positive and $\Gamma$ is a known vector-valued mapping, $A: {\Bbb R}_{+}\rightarrow {\Bbb R}^{+}$ is decreasing and $A(s)\sim 1/\sqrt{s}$ as $s\rightarrow +\infty$. This kind of equation arises naturally from image denoising. For an initial datum $I \in {\rm BV}_{\rm loc}\cap L^{\infty},$ the existence of BV solutions to the initial value problem of the equation is obtained. Related Articles | Metrics

Select

THE ANALYTICAL PROPERTIES FOR HOMOGENEOUS RANDOM TRANSITION FUNCTIONS Hu Dihe; Qiu Yufeng Acta mathematica scientia,Series B. 2007, 27 (1):  180-192.  DOI: 10.1016/S0252-9602(07)60016-2 Abstract ( 1515 )   RICH HTML PDF (189KB) ( 1229 )   Save The concepts of Markov process in random environment and homogeneous random transition functions are introduced. The necessary and sufficient conditions for homogeneous random transition function are given. The main results in this article are the analytical properties, such as continuity, differentiability, random Kolmogorov backward equation and random Kolmogorov forward equation of homogeneous random transition functions. Related Articles | Metrics

Select

A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM Shi Dongyang; Mao Shipeng; Chen Shaochun Acta mathematica scientia,Series B. 2007, 27 (1):  193-202.  DOI: 10.1016/S0252-9602(07)60017-4 Abstract ( 1594 )   RICH HTML PDF (161KB) ( 1249 )   Save The main aim of this article is to study the approximation of a locking-free anisotropic nonconforming finite element for the pure displacement boundary value problem of planar linear elasticity. The optimal error estimates are obtained by using some novel approaches and techniques. The method proposed in this article is robust in the sense that the convergence estimates in the energy and L2-norms are independent of the Lame parameter λ. Related Articles | Metrics

Select

THE BLUE AND MINQUE IN GAUSS-MARKOFF MODEL WITH LINEAR#br# TRANSFORMATION OF THE OBSERVABLE VARIABLES Zhang Baoxue; Liu Baisen Acta mathematica scientia,Series B. 2007, 27 (1):  203-210.  DOI: 10.1016/S0252-9602(07)60018-6 Abstract ( 1568 )   RICH HTML PDF (150KB) ( 1704 )   Save For a singular linear model ${\cal A}= (y ,{X \beta},$ {\si{2}} $V)$ and its transformed model ${\cal A_{F}}=(Fy,FX\beta, \sigma^2FV F')$, where V is nonnegative definite and $X$ can be rank-deficient, the expressions for the differences of the estimates for the vector of $FX\beta$ and the variance factor {\si{2}} are given. Moreover, the necessary and sufficient conditions for the equalities of the estimates for the vector of $FX\beta$ and the variance factor {\si{2}} are also established. In the meantime, works in Baksalary and Kala (1981) are strengthened and consequences in Puntanen and Nurhonen (1992), and Puntanen (1996) are extended. Related Articles | Metrics

Select

CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION Qiu Jinghui Acta mathematica scientia,Series B. 2007, 27 (1):  211-218.  DOI: 10.1016/S0252-9602(07)60019-8 Abstract ( 1690 )   RICH HTML PDF (137KB) ( 2806 )   Save By using cone-directed contingent derivatives, the unified necessary and sufficient optimality conditions are given for weakly and strongly minimal elements respectively in generalized preinvex set-valued optimization. Related Articles | Metrics

Select

A NOTE ON PERTURBATION OF NON-SYMMETRIC DIRICHLET FORMS BY SIGNED SMOOTH MEASURES Chen Chuanzhong Acta mathematica scientia,Series B. 2007, 27 (1):  219-224.  DOI: 10.1016/S0252-9602(07)60020-4 Abstract ( 1666 )   RICH HTML PDF (139KB) ( 1713 )   Save This article discusses the perturbation of a non-symmetric Dirichlet form, $({\cal E},{\cal D(E)})$, by a signed smooth measure $\mu$, where $\mu$=$\mu_{1}-\mu_{2}$ with $\mu_{1}$ and $\mu_{2}$ being smooth measures. It gives a sufficient condition for the perturbed form $({{\cal E}}^{\mu},{{\cal D}}({{\cal E}}^{\mu}))$ (for some $\alpha_0\geq 0)$ to be a coercive closed form. Related Articles | Metrics