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A Class of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Systems

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Wuhan university Journal of Natural sciences 2008年第1期13卷 9-13页

作者： chen lihua department of mathematics and computer science Fujian Normal University Fuqing 350300 Fujian China

The singularly perturbed initial boundary value problems for the reaction diffusion system are raised. Firstly, under suitable conditions, using a iteration technique, the differential inequalities theorem is constructed and introducing two auxiliary functions the existence and uniqueness theorem of solution for the basic reaction diffusion system is proved. Using the singularly perturbed method the formal asymptotic expressions of the solution are constructed with power series theory. By using the comparison theorem the existence and its asymptotic behavior of solution for the original problem are studied. Finally, using method of estimate inequalities, the structure of solutions for the problem is discussed thoroughly in three cases and asymptotic solution of the original problem is given. The asymptotic behavior of solution in the three cases is proved.

关键词： reaction diffusion system singular perturbation initial boundary value problem

Solvability for Nonlinear Reaction Diffusion Equation with Boundary Perturbation

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Wuhan university Journal of Natural sciences 2009年第6期14卷 481-483页

作者： chen lihua1, mo jiaqi2,3.1. department of mathematics and computer science, fujian normal university, fuqing 3.03.0, fujian, china 2. department of mathematics, Anhui normal university, Wuhu 241000, Anhui, china 3. Division of Computational science, E-Institutes of Shanghai Universities at Shanghai Jiao Tong university, Shanghai 200240, china department of mathematics and computer science Fujian Normal University Fuqing 350300 Fujian China department of mathematics Anhui Normal University Wuhu 241000 Anhui China Division of Computational science E-Institutes of Shanghai Universities at Shanghai Jiao Tong University Shanghai 200240 China

In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of ... 详细信息

关键词： perturbation nonlinear reaction diffusion equation solvability

Some G-M-type Banach spaces and K-groups of operator algebras on them

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science china mathematics 2004年第3期47卷 372-392页

作者： ZHONG Huaijie chen Dongxiao chen Jianlan department of mathematics, fujian normal university, Fuzhou 350007, china 1. department of mathematics Fujian Normal University 350007 Fuzhou China

By providing several new varieties of G-M-type Banachspaces according to decomposable and compoundable properties, this paper discusses the operator structures of thesespaces and the K-theory of the algebra of the operators on these G-M-type Banach spaces throughcalculation of the K-groups of the operator ideals contained in the class of Riesz operators.

关键词： incompoundable Banach space, radical operator ideal, Banach algebra, K-theory.

Geometric double-entity model for recognizing far-near relations of clusters

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science china(Information sciences) 2011年第10期54卷 2040-2050页

作者： WANG KaiJun ,YAN XuanHui & chen LiFei School of mathematics and computer science,fujian normal university,Fuzhou 350108,china 1. School of mathematics and computer science Fujian Normal University Fuzhou 350108 China

When solving many practical problems,we not only need sample labels given by a clustering algorithm,but also rely on the recognition of far-near relations of *** the difficult condition of many clusters in a high-dimensional data set,the clustering visualization methods based on dimension reductions usually produce the phenomena,e.g.,some clusters are overlapping,interlacing,or pushed away;as a result,the far-near relations of some clusters are displayed wrongly or cannot be *** existing inter-cluster distance methods cannot determine whether two clusters are far away or *** geometric double-entity model method (GDEM) is proposed to describe far-near relations of clusters,and the methods such as the relative border distance,absolute border distance and region dense degree are designed to measure far-near degrees between *** pays attention to both the absolute distance between nearest sample sets and the dense degrees of border regions of two clusters,and it is able to uncover accurately far-near relations of clusters in a high-dimensional space,especially under the difficult condition mentioned *** experimental results on four real data sets show that the proposed method can effectively recognize far-near relations of clusters,while the conventional methods cannot.

关键词： geometric double-entity model far-near relations of clusters distance between clusters partitional clustering algorithms

On characterizations of isometries on function spaces

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science china mathematics 2008年第4期51卷 620-631页

作者： LI SongYing~(1+) RUAN YingBin~2 1 department of mathematics university of California Irvine CA 92697 USA 2 School of mathematics and computer science fujian normal university Fuzhou 350007 china 1. department of mathematics University of California Irvine CA 92697 USA 2. School of mathematics and computer science Fujian Normal University Fuzhou 350007 China

The paper gives characterization for an isometric isomorphism on little Bloch space, VmoA and holomorphic Besov space over the unit ball B n in ? n .

关键词： ismometry Besov spaces 32A17 47A15

modeling and analyzing mixed communications in service-oriented trustworthy software

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science china(Information sciences) 2012年第12期55卷 2738-2756页

作者： JIANG JianMin 1,ZHANG Shi 1,GONG Ping 1,HONG Zhong 1 & YUE HouGuang 2 1 department of computer,fujian normal university,Fuzhou 350007,china 2 department of computer,Shandong university of Finance and Economics,Jinan 250014,china 1. department of computer Fujian Normal University Fuzhou 350007 China2. Department of Computer Shandong University of Finance and Economics Jinan 250014 China

Communication is an essential part of service-oriented trustworthy *** actual communication mechanism among services adopts asynchronous communications and supports broadcast ***,in order to achieve a better performance in analysis and verification,most existing formal languages rely on the strong hypothesis:the communication between services is *** this paper,we propose a novel model,which can model synchronous communications,asynchronous communications and broadcast communications in a uniform ***,we investigate the preservation problem of the weak termination and deadlocks of a composite service under the hierarchical communication models.

关键词： communication service composition message dependency deadlock

Singularly Perturbed Solution for Nonlinear Equations of Fourth Order with Two Parameters

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Journal of Shanghai Jiaotong university(science) 2008年第4期13卷 495-498页

作者：陈丽华莫嘉琪刘树德 department of mathematics and computer science Fuqing Branch of Fujian Normal University department of mathematics Anhui Normal Univeristy

A class of singularly perturbed boundary value problem for nonlinear equation of fourth order with two parameters is considered. Under suitable conditions, the existence and asymptotic behavior of solution for boundar... 详细信息

关键词： nonlinear two parameters singular perturbation

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一类奇摄动薄板弯曲问题的匹配渐近解

物理学报 2011年第10期60卷 1-6页

作者：徐惠陈丽华莫嘉琪安徽财经大学统计与应用数学学院蚌埠233030 福建师范大学福清分校数学与计算机科学系福清350300 安徽师范大学数学系芜湖241003

研究了一类薄板弯曲问题.对四阶奇摄动边值问题,引入伸长变量,构造边界附近的内层解,然后与外部解匹配.最后用合成展开式理论,得到了原问题的的渐近解.

关键词：薄板弯曲挠度渐近解

Seamlet carving for shape-aware image resizing

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science china(Information sciences) 2012年第5期55卷 1073-1081页

作者： LIN Xiao 1,2,SHENG Bin 1,MA LiZhuang 1,SHEN Yang 1 & chen ZhiHua 3.1.department of computer science and Engineering,Shanghai Jiao Tong university,Shanghai 200240,china 2 Academy of Information Technology,Luoyang normal university,Luoyang 471022,china 3 department of computer science and Engineering,East china university of science and Technology,Shanghai 200237,china 1. department of computer science and Engineering Shanghai Jiao Tong University Shanghai 200240 China2. Academy of Information Technology Luoyang Normal University Luoyang 471022 China3. Department of Computer Science and Engineering East China University of Science and Technology Shanghai 200237 China

In this paper we propose an optimized seam-carving approach for anti-shearing image *** image/video seam-carving strategy only focuses on deleting the pixels along 8-connected seams,which may lead to the obvious information loss during *** the traditional seam-carving methods,our approach can construct a seamlet to handle the discontinuous pixels and further achieve an optimized image resizing results with *** particular,to suppress zigzag artifacts,we introduce the anti-shearing energy into the seamlet generation,which includes two steps:1) the energy map is formalized by using Gabor filtering and the saliency map;2) The energy computation is optimized in Gabor feature space to obtain the resizing results without the connectivity *** experimental results and comparisons show the effectiveness of our method.

关键词： image resizing seamlet carving saliency map