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	1. A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion
	WANG Tong,GE Yaojun,CAO Shuyang
	Mathematics 28 August 2011
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	Abstract:The multidimensional discrete Poisson equation (MDPE) frequently encountered in science and engineering can be expressed, in many cases, as a brief matrix-array equation firstly defined in this paper. This new-style equation consists of a series of small matrices and can be transformed using the Kronecker sum into a familiar system of linear algebraic equations, AX=b. Then it is proved that the eigenvalues and corresponding eigenvectors of A can be obtained directly from those of these small matrices consisting in that matrix-array equation. Based on this connection, a solvability criterion for the matrix-array equation is proposed. Finally, an application of this criterion is carried out, and an inspiration from the above connection are presented and analyzed.
	TO cite this article:WANG Tong,GE Yaojun,CAO Shuyang. A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion[OL].[28 August 2011] http://en.paper.edu.cn/en_releasepaper/content/4441076


	2. Global dynamics of an SVI epidemic model with diffusion
	Fang Wang,Cai-Xun Wang
	Mathematics 05 March 2008
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	Abstract:In this paper, an SVI epidemic model with diffusion is established. By constructing Lyapunov functions , we analyze the long time behavior of solutions for the model under continuous vaccination strategy, the global asymptotical stable results of the disease-free equilibrium and the epidemic equilibrium are proved.
	TO cite this article:Fang Wang,Cai-Xun Wang. Global dynamics of an SVI epidemic model with diffusion[OL].[ 5 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19027


	3. Fuzzy Rough Sets Based on Dominance Relations
	Xiao-yan Zhang
	Mathematics 05 January 2007
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	Abstract:This model for fuzzy rough sets is one of the most important parts in rough set theory. Moreover, it is based on an equivalence relation (indiscernibility relation). However, many systems are not only concerned with fuzzy sets, but also based on a dominance relation because of various factors in practice. To acquire knowledge from the systems, construction of model for fuzzy rough sets based on dominance relations is very necessary. The main aim to this paper is to study this issue. Concepts of the lower and the upper approximations of fuzzy rough sets based on dominance relations are proposed. Furthermore, model for fuzzy rough sets based on dominance relations is constructed, and some properties are discussed.
	TO cite this article:Xiao-yan Zhang. Fuzzy Rough Sets Based on Dominance Relations[OL].[ 5 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10593

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