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	1. A note on balls in cone metric spaces
	Ge Xun
	Mathematics 09 February 2015
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	Abstract:In this brief note, we give some relations among balls and their closures in cone metric space. In particular, we give an example to show that $overline{{yin X:d(x,y)lldelta}} e{yin X:d(x,y)ledelta}$ for a cone metric space $(X,d)$, which corrects an error in a paper (Acta Mathematica Sinica, 26(2010), 489--496).
	TO cite this article:Ge Xun. A note on balls in cone metric spaces[OL].[ 9 February 2015] http://en.paper.edu.cn/en_releasepaper/content/4631429


	2. The boundedness of higher order Riesz transform associated with Sch
	SHEN Jian-Chun,Dong Jianfeng
	Mathematics 04 January 2015
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	Abstract:Let $L=-Delta+V$ be a Schr"{o}dinger operator on $mathbb{R}^n$ ($n geq 3$) , where $V ot equiv 0$ is a nonnegative potential belonging to certain reverse H"{o}lder class $B_s$ for $s geq n$. The Hardy type spaces $H_L^p, rac{n}{n+delta}<pleq 1$ for some $delta >0$, are defined in terms of the maximal function with respect to the semigroup ${e^{-tL} }_{t>0}$. In this article, we investigate the boundedness of some integral operator related to $L$, such as $VL^{-1}$, $Delta L^{-1}$ and $ abla^2 L^{-1}$, on spaces $H_L^p(mathbb{R}^n)$.
	TO cite this article:SHEN Jian-Chun,Dong Jianfeng. The boundedness of higher order Riesz transform associated with Sch[OL].[ 4 January 2015] http://en.paper.edu.cn/en_releasepaper/content/4626619

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	3. A refined relation between the numbers of different parts and 1's in integer partitions
	ZHAO Fei-Yan
	Mathematics 01 December 2014
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	Abstract:A partition of an integer $n$, is one way of writing $n$ as the sum of positive integers where theorder of the addends (terms being added) does not matter. By classifying the different parts according to their residues module an integer $m$, we show both algebraically and bijectively that the total number of different parts which are congruent to $r ,(mod m)$ in all partitions of $n$ equals the total number of $1$'s which are in the positions congruent to $r ,(mod m)$ in the Young Diagram representation of partitions of $n$.
	TO cite this article:ZHAO Fei-Yan. A refined relation between the numbers of different parts and 1's in integer partitions[OL].[ 1 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4619908


	4. On the comparison theorem for $1$-dimensional generalized anticipated BSDEs
	XU Xiao-Ming
	Mathematics 19 November 2014
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	Abstract:In this paper, we will establish a general comparison theoremfor the following $1$-dimensional generalized anticipated backward stochastic differential equation(GABSDE):egin{equation}left{egin{tabular}{rlll}$-dY_t$ &=& $f(t, {Y_r}_{rin [t, T+C]}, {Z_r}_{rin [t,T+C]})dt-Z_tdB_t, $ & $tin[0, T];$\$Y_t$ &=& $xi_t, $ & $tin[T, T+C];$\$Z_t$ &=& $eta_t, $ & $tin[T, T+C].$end{tabular} ight.end{equation}
	TO cite this article:XU Xiao-Ming. On the comparison theorem for $1$-dimensional generalized anticipated BSDEs[OL].[19 November 2014] http://en.paper.edu.cn/en_releasepaper/content/4619509


	5. Probabilistic representation for solution of some coupled system of quasilinear parabolic PDEs
	XU Xiao-Ming
	Mathematics 11 November 2014
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	Abstract:In this paper, we obtain a probabilistic representation for thesolution of the following coupled system of quasilinear parabolicPDEs:egin{equation}left{egin{tabular}{ll}$partial_t u^0+ b u_x^0+rac{1}{2}sigma^2 u_{xx}^0+(Deltau-delta u_x^0)gamma_t+f(t, x, u^0, u_x^0 sigma, Delta u)=0,$\$partial_t u^1+ b u_x^1+rac{1}{2}sigma^2 u_{xx}^1+f(t, x, u^1,u_x^1sigma, Delta u)=0,$\$u^0(T, x)=arphi(0, x)in mathbb{R},$\$u^1(T,x)=arphi(1, x)in mathbb{R},$end{tabular} ight.end{equation}where $Delta u(t, x)=u^1(t, x+delta(t, x))-u^0(t, x)$ and $b$,$sigma$, $delta$ are $mathbb{R}$-valued functions defined on $[0,T] imes mathbb{R}$, by introducing a new kind of backwardstochastic differential equation, called BSDE with random defaulttime.
	TO cite this article:XU Xiao-Ming. Probabilistic representation for solution of some coupled system of quasilinear parabolic PDEs[OL].[11 November 2014] http://en.paper.edu.cn/en_releasepaper/content/4618172


	6. A new generalized CUSUM control chart for detecting a range of mean shifts
	Qin Zhou, Yunzhao Luo, Zhaojun Wang
	Mathematics 11 November 2014
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	Abstract:In this paper, a generalized cumulative sum (GCUSUM) control chart,which does not depend on the reference value nor prespecified shiftsize, is developed for detecting a range of mean shifts. Amodification to the GCUSUM (MGCUSUM) control chart is also presentedto ease the computation and the parameter effect is studied indetail. We compare the GCUSUM with generalized exponentiallyweighted moving average (GEWMA), adaptive cumulative sum (ACUSUM)and dual cumulative sum (DCUSUM) based on Monte-Carlo simulation.Our simulation results show that the proposed chart provides quiteeffective and robust detecting ability for various of shifts withdifferent magnitude. The application of our proposed method isillustrated by a real data example from chemical process control andthe average run length (ARL) performance is also presented.
	TO cite this article:Qin Zhou, Yunzhao Luo, Zhaojun Wang. A new generalized CUSUM control chart for detecting a range of mean shifts[OL].[11 November 2014] http://en.paper.edu.cn/en_releasepaper/content/4618145


	7. A Control Chart Based on Likelihood Ratio Test for Detecting PatternedMean Shifts
	Yunzhao Luo, Zhonghua Li, Zhaojun Wang
	Mathematics 11 November 2014
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	Abstract:Most of the existing literatures focusing on the detection of theprocess mean are almost based on the assumption that mean shiftremains constant over time. However, these approaches may not bewell handled with the case that patterned mean changes exist. Inthis paper, we propose a new control chart which integrates the EWMAprocedure with the generalized likelihood ratio (GLR) teststatistics for monitoring process patterned mean shifts. It can beeasily designed and implemented with its reference-free property.Due to the good properties from GLR test and EWMA procedures, ourproposed chart provides a quite effective and robust detectingability for various types of shifts. The application of our chart isillustrated by a real data example, and the ARL performance is alsopresented in this paper.
	TO cite this article:Yunzhao Luo, Zhonghua Li, Zhaojun Wang. A Control Chart Based on Likelihood Ratio Test for Detecting PatternedMean Shifts[OL].[11 November 2014] http://en.paper.edu.cn/en_releasepaper/content/4618142


	8. Optimal dividend, capital injection and reinsurance strategies with transaction costs
	WANG Rong-Ming, YAO Ding-Jun, XU Lin
	Mathematics 20 October 2014
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	Abstract:This paper investigates an optimal dividend and capital injection problemwith non-cheap excess-of-loss reinsurance policy. The insurancecompany can control its surplus by paying dividends and injecting capitals, which incur proportional and fixed transaction costs. Moreover, both insurer and reinsurer rely on theexpectation premium principle to calculate their premiums but withdifferent safety loadings. The goal of insurance company is todetermine optimal dividend, capital injection and reinsurance strategiesfor maximizing the difference between the expected discounteddividends minus the expected discounted capital injections untilthe time of bankruptcy. By solving the corresponding impulse control problem, closed-form expressions for the value functionand optimal strategy are derived.
	TO cite this article:WANG Rong-Ming, YAO Ding-Jun, XU Lin. Optimal dividend, capital injection and reinsurance strategies with transaction costs[OL].[20 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4614350


	9. Exponential stability of fractional stochastic differential equations with distributed delay
	Tan Li
	Mathematics 14 October 2014
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	Abstract:Equations driven by fractional Brownian motion are attracting more and more attention. This paper considers fractional stochastic differential equations with distributed delay. With the variation-of-constants formula, explicit expression and asymptotic behavior of the solution are provided, sufficient conditions are derived to guarantee the p-th moment exponential stability and almost surely exponential stability.
	TO cite this article:Tan Li. Exponential stability of fractional stochastic differential equations with distributed delay[OL].[14 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4613659


	10. A new preconditioned AOR Iterative Method for L-matrices
	Xu Yunxia,Lei Xuehong
	Mathematics 08 June 2014
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	Abstract:In this paper, a new preconditioner for solving linear system is presented. We apply AOR iterative schemes to the preconditioned linear system and prove that the preconditioned AOR method with the new preconditioner is convergence when is an L-matrix. Finally, effectiveness of the new preconditioner AOR method is shown by a numerical example.
	TO cite this article:Xu Yunxia,Lei Xuehong. A new preconditioned AOR Iterative Method for L-matrices[OL].[ 8 June 2014] http://en.paper.edu.cn/en_releasepaper/content/4599572

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