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	1. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts
	Ge Bin,Zhou Qingmei
	Mathematics 29 June 2012
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	Abstract:Let {an}∞n=0 be a weight sequence and let W denotethe associated unilateral weighted shift on H. In this paper, weconsider the connection between the M-hyponormal andhyponormalizable weighted shifts operators. Main results areTheorems 4.1 and Theorems 4.2. Theorem 4.1 is the sufficientcondition when a weighted shifts M-hyponormal operator becomehyponormalizable. Theorem 4.2 is the sufficient condition when aweighted shifts hyponormalizable operator become M-hyponormal.Finally, invariant subspaces of such operators are discussed.
	TO cite this article:Ge Bin,Zhou Qingmei. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts[J].


	2. A line search filter-SQP method for nonlinear inequality constrained optimization
	YUAN Jing,ZHU Detong
	Mathematics 19 June 2012
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	Abstract:Filter methods are extensively studied for solving nonlinearprogramming problems (NLP). In this paper, the author propose the sequencequadratic programming method with a line search filter technique fornonlinear inequality constrained problems. The search direction ofthis algorithm is generated by first-order necessary conditions,while a backtracking line search procedure is used to generate stepsize. The second order correction is employed to overcome theMaratos effect. Local convergent rate and global convergence areestablished under some suitable conditions. Finally, the results ofnumerical experiments indicate that the proposed method is efficientfor the given test problems.
	TO cite this article:YUAN Jing,ZHU Detong. A line search filter-SQP method for nonlinear inequality constrained optimization[OL].[19 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482733

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	3. A Conjugate Gradient Path Method without Line Search Technique for Unconstrained Optimization
	WANG Jueyu,ZHU Detong
	Mathematics 18 April 2012
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	Abstract:In this paper, we propose a new approach via discrete conjugate gradient path for solving unconstrained optimization. The conjugate gradient path is obtained by constructing quadratic model of the objective function. The global convergence and local quadratic or superlinear convergence rate of the proposed algorithm are established under some reasonable conditions. Finally, the numerical results are reported to show the effectiveness of the proposed algorithm.
	TO cite this article:WANG Jueyu,ZHU Detong. A Conjugate Gradient Path Method without Line Search Technique for Unconstrained Optimization[OL].[18 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4474920


	4. Second order expansion for large solutionsof semilinear elliptic problems
	Xue Yanxing ,Zhang Zhijun
	Mathematics 18 February 2012
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	Abstract:In this paper, we investigate the second term asymptotic behavior of boundary blowup solutions to the problem Δu=b(x)f(u),x∈Ω, subject tothe singular boundary condition u(x)=∞ in smooth bounded domains Ω∈R N(N≥3). Where b(x) is a non-negative weight function, which may be vanishing on the boundary or be singular on the boundary. The absorption term f is regularly varying at infinity with index ρ>1 andthe mapping f(u)/u is increasing on (0,+∞). Our analysis relies on the Karamata regular variation therory.
	TO cite this article:Xue Yanxing ,Zhang Zhijun . Second order expansion for large solutionsof semilinear elliptic problems [OL].[18 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4465923


	5. Stability of nonlinear stochastic Volterra difference equations with continuous time
	CHEN Ling,GUO Lifang,CHEN Min
	Mathematics 10 May 2011
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	Abstract:In recent years, many authors investigated the systems of stochastic difference equations with discrete time or the systems of numerical solution for stochastic difference equations with continue time. Lyapunov functionals are used to study the hereditary systems about problems of stability and optimal control. Besides, Lyapunov functionals construction has been widely used to discuss the stability for stochastic differential equations with delay and for stochastic difference equations with discrete time. Based on the general method of Lyapunov functionals construction, the stability of nonlinear stochastic Volterra difference equations is studied here. Particularly, the system considered here have continuous time. Sufficient conditions are obtained not only to ensure the mean square stability to nonlinear stochastic Volterra difference equations with continuous time but also the asymptotical mean square quasi-stability for this system. Furthermore, it is easy to know the considered system is mean square integrable when the system here is asymptotical mean square quasi-stable.
	TO cite this article:CHEN Ling,GUO Lifang,CHEN Min. Stability of nonlinear stochastic Volterra difference equations with continuous time[OL].[10 May 2011] http://en.paper.edu.cn/en_releasepaper/content/4425936


	6. Collocation Spectral Methods to A Class of Fractional Ordinary Differential Equations
	Huang Fenghui
	Mathematics 09 January 2011
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	Abstract:A Collocation spectral method for the approximate solution of a class of fractional ordinary differential equations is proposed. The existence and uniqueness of their solutions are also discussed. Numerical results are presented to demonstrate the effectiveness of this method and the spectral convergence.
	TO cite this article:Huang Fenghui. Collocation Spectral Methods to A Class of Fractional Ordinary Differential Equations[OL].[ 9 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4405281


	7. The Dialectical Study on Axioms of ZF
	Zhao Feng
	Mathematics 15 December 2010
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	Abstract:the bounded variable is presented and the axioms of ZF are studied one by one. In which, the formula of empty set is written as (x∈e) = {e} for any x according to the analyze-ability of set and dialectical relations on propositions. Meanwhile, it is analyzed that four propositions are related to the empty set. Furthermore, the expressions and the arithmeticization formulae of axioms of ZF are showed at the paper. As regards the axiom of infinity the limit of set to vary and the bounded infinity is introduced into discussion and analytical representations of ordinals are given from the analyze-ability of set. Obviously, the analytical theory of sets is stronger than ZF, and it is consistent and compatible with ZF.
	TO cite this article:Zhao Feng. The Dialectical Study on Axioms of ZF[OL].[15 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4398018


	8. Extremal Distribution for the Discrete 5-convex Stochastic Ordering and Applications
	TIAN Yougong,JIAO Guimei
	Mathematics 14 November 2010
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	Abstract:In this paper, motivated by the idea from Courtois and Denuit et al.(2006), we derive extremal distribution for the discrete 5-convex stochastic ordering. As applications,We improve lower and upper bounds for the probability of extinction in a branching process and for the Lundberg's coefficient in the classical risk model with discrete claim amounts.
	TO cite this article:TIAN Yougong,JIAO Guimei. Extremal Distribution for the Discrete 5-convex Stochastic Ordering and Applications[OL].[14 November 2010] http://en.paper.edu.cn/en_releasepaper/content/4391593


	9. The Order of an Integer
	Wu Genqiang,Li Yanchao,Qi Yu
	Mathematics 28 May 2010
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	Abstract:In this article, we studied the order of an integer q modulo integer m. We discussed the order of q modulo m by the prime-power factorization of m. We first discussed this problem when m is a prower of 2; Then we discussed this problem when m is a power of an odd prime p. Finally we gave explicit results of the order of q modulo m when m is any positive integer. Moreover we gave a algorithm and C-program of the order of q modulo odd prime p. Since the factorization of the mth cyclotomic polynomial over Fq has direct relation with the order of q modulo m, then our results can be used to establish the factorization theorem of cyclotomic polynomials.
	TO cite this article:Wu Genqiang,Li Yanchao,Qi Yu. The Order of an Integer[OL].[28 May 2010] http://en.paper.edu.cn/en_releasepaper/content/4374329


	10. Time-Dependent Hurst Exponent in Traffic Time Series
	Jianhai Yue,Keqiang Dong,Pengjian Shang
	Mathematics 01 February 2010
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	Abstract:In this paper, we propose a new measure of variability, called the time-dependent Hurst exponent H(t), which fully captures the degree of variability of traffic flow at each time t. In order to assess the accuracy of the technique, we calculate the exponent H(t) for artificial series with assigned Hurst exponents H. We next calculate the exponent H(t) for the traffic time series observed on the Beijing Yuquanying highway. We find a much more pronounced time-variability in the local scaling exponent of traffic series compared to the artificial ones. In addition, the results show that the traffic variability can exhibit a non-monotonic multi-fractal behavior.
	TO cite this article:Jianhai Yue,Keqiang Dong,Pengjian Shang. Time-Dependent Hurst Exponent in Traffic Time Series[OL].[ 1 February 2010] http://en.paper.edu.cn/en_releasepaper/content/39713

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