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25 February 2006, Volume 26 Issue 1 Previous Issue    Next Issue

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Existence and Uniqueness of Global Solutions of a Free Boundary Problem Modeling Tumor Growth Wei Xuemei, Cui Shangbin Acta mathematica scientia,Series A. 2006, 26 (1):  1-008.  Abstract ( 2794 )   RICH HTML PDF (338KB) ( 1574 )   Save In this paper the authors study the general nonnecrotic tumor growth model proposed by Byrne and Chaplain in 1995. This is a free boundary problem for a system of nonlinear reaction diffusion equations. The authors apply the Lp theory of parabolic equations and the Banach fixed point theorem to prove the existence and uniqueness of a local solution, and apply the continuation method to get the existence and uniqueness of a global solution. Related Articles | Metrics

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Sampling Method by Allocating Random Order to Percentiles Guo Kui, Yu Dan Acta mathematica scientia,Series A. 2006, 26 (1):  9-014.  Abstract ( 2660 )   RICH HTML PDF (334KB) ( 1386 )   Save This paper presents a new sampling method, which is called sampling method by allocating random order to percentiles based on some random simulation problems of statistical computation. The sampling is attained by making use of percentiles of distribution function and pseudo-random order, also is applicable to multi-dimensional interval integrals and sampling random variables. Some examples are included to illustrate the method. Related Articles | Metrics

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On the Borel Direction of Largest Type of Quasimeromorphic Mappings Wu Zhaojun, Sun Daochun Acta mathematica scientia,Series A. 2006, 26 (1):  15-020.  Abstract ( 2606 )   RICH HTML PDF (257KB) ( 1793 )   Save The more general quasimeromorphic mappings are studied with the geometric method.The definition of the Boreldirection of largest type is introduced,and its existence is proved.The necessary and sufficient conditions for judging the Borel direction of largest type of K-quasimeromorphic mappings are obtained Related Articles | Metrics

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Global Stability of an Epidemic Model with Vaccination Li Jianquan;Ma Zhien Acta mathematica scientia,Series A. 2006, 26 (1):  21-030.  Abstract ( 2513 )   RICH HTML PDF (334KB) ( 1450 )   Save An SIRS epidemic model with vaccination is investigated in this paper. For this model, the authors assume that both the immunity periods of the removed individuals and the vaccinated individuals are fixed constants, which may be different each other. For locally asymptotical stability and globallyasymptotical stability of the disease-free equilibrium and the endemic equilibrium, sufficient conditions are obtained for this model. Related Articles | Metrics

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Some Results on the Exponential Radon Transform Wang Jinping Acta mathematica scientia,Series A. 2006, 26 (1):  31-038.  Abstract ( 2137 )   RICH HTML PDF (315KB) ( 1961 )   Save In this paper, the continuity for the exponential Radon transform in R2 is discussed and the approximate inversion formula is developed. The numerical solution of approximate inversion is also improved. For the sake of theory, the exact form of inverse transform of the exponential Radon transform is given by means of some techniques. Related Articles | Metrics

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On the Strong Convergence of the Modified Reich-Takahashi Zeng Liuchuan Acta mathematica scientia,Series A. 2006, 26 (1):  39-044.  Abstract ( 2919 )   RICH HTML PDF (283KB) ( 1560 )   Save Let E be a real Banach space with uniform normal structure, whose norm is uniformly Gateaux differentiable. Let D be a nonempty bounded closed convex subset of $E$ and $T:D\rightarrow D be an asymptotically nonexpansive mapping. It is shown that under some suitable conditions,the modified Reich-Takahashi type iteration method converges strongly to a fixed point of T. Related Articles | Metrics

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On Zeros of Analytic Functions in Half Plane Deng Guantie Acta mathematica scientia,Series A. 2006, 26 (1):  45-048.  Abstract ( 2482 )   RICH HTML PDF (216KB) ( 1696 )   Save A necessary and sufficient condition is given for the existence of an analytic function belonging to the weighted Hardy space in the half-plane, which is not identically zero but is zero on a given sequence in the half-plane. Related Articles | Metrics

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A Modified Lagrangian Algorithm for Solving Nonlinear Constrained Optimization Problems He Suxiang;Zhang Liwei Acta mathematica scientia,Series A. 2006, 26 (1):  49-062.  Abstract ( 2727 )   RICH HTML PDF (345KB) ( 1669 )   Save A modified Lagrangian algorithm for solving nonlinear constrained optimization problems is established, which is based on a modified Lagrange function with a controlling parameter.Under suitable conditions, the local convergence of the modified Lagrangian algorithm is proved and the error bounds of solutions are established, which shows that there exists a threshold of the parameter such that, when the parameter is less than this threshold, the sequence of points generated by the algorithm converges to a Kuhn-Tucker point locally. Numerical results by using the modified Lagrangian algorithm for solvingsome simple constrained optimization problems are illustrated. Related Articles | Metrics

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Discontinuous Finite Elements in Solving Initial Value Problem of Nonlinear ODE Li Tianran;Chen Chuanmiao Acta mathematica scientia,Series A. 2006, 26 (1):  63-068.  Abstract ( 2928 )   RICH HTML PDF (315KB) ( 1874 )   Save In this paper the initial value problem of nonlinear ODE is solved with discontinuous finite elements of order u'=f(x,u),u(0)=u0. For m≥1, the authors prove that the left limits of discontinuous finite elements of order m at their node have a superconvergence estimate (u-U(xj-0)=O(h2m+1) and at characteristic points xji of order m+1 of every elements. There is the superconvergence estimate (u-U)(xji)=O(hm+2). Related Articles | Metrics

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The Pointwise Multipliers of VMOp and VO Spaces Ye Shanli;Gao Jinshou Acta mathematica scientia,Series A. 2006, 26 (1):  69-076.  Abstract ( 2118 )   RICH HTML PDF (259KB) ( 1506 )   Save In this paper, the pointwise mulitipliers of space VMOp and VO on the bounded symmetric domains are characterized by using Berezin transform, automorphism group, reproduces kernel of Bergman etc Related Articles | Metrics

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The Integral Convexity and Their Applications Wang Jianyong;Ma Yumei Acta mathematica scientia,Series A. 2006, 26 (1):  77-086.  Abstract ( 2177 )   RICH HTML PDF (325KB) ( 1261 )   Save In this paper, via Bochner integral of vector-valued functions, the authors introduce the concepts of integral convex sets and integral convex functionals and integral extremal points of sets in Banach spaces. The authors mainly show that every finite dimensional convex set and every open or closed convex set are integral convex; every lower semi-continuous convex functional and every upper semi-continuous convex functional defined on a open convex set are integral convex; every nonempty compact sets have integral extremal points; the integral extremal points set is equal to the extremal points set for every compact convex set. Two applications of integral convexity are obtained at last. Related Articles | Metrics

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Sharp Conditions of Global Existence for the Generalized Davey-Stewartson System in Three Dimensional Space Gan Zaihui;Zhang Jian Acta mathematica scientia,Series A. 2006, 26 (1):  87-092.  Abstract ( 2143 )   RICH HTML PDF (252KB) ( 1183 )   Save In terms of the characteristics of the ground state, a sharp condition for blowup and global existence of the generalized Davey-Stewartson system in three dimensional spaces is derived out by applying the potential well argument and the concavity method. Meanwhile, that how small the initial data are, the existence of the global solution is also shown Related Articles | Metrics

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Positive Periodic Solutions of a Delayed Predator-Prey System with Holling Type II Functional Response Chen Fengde;Chen Xiaoxing ;Zhang Huiying Acta mathematica scientia,Series A. 2006, 26 (1):  93-103.  Abstract ( 2884 )   RICH HTML PDF (394KB) ( 1852 )   Save By using a continuation theorem based on Gaines and Mawhin's coincidence degree, the authors study the global exisence of positive periodic solutions of a delayed predator-prey system with Holling II type response and stage structure for predator. A set of easily verifiable sufficient conditions is obtained, which improves some known results. Also, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the global attractivity of the positive periodic solution are obtained. Related Articles | Metrics

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Some Properties on Currents in Metric Spaces Zhao Peibiao;Yang Xiaoping Acta mathematica scientia,Series A. 2006, 26 (1):  104-112.  Abstract ( 3015 )   RICH HTML PDF (352KB) ( 2205 )   Save The authors study the representation theorem of current by using the view of algebra. The similar Radon-Nikodym theorem for completely invariant current is obtained by virtue of the constructing minimal triple. Related Articles | Metrics

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Boundary Values and Duality of Some Spaces of Holomorphic Xu Huiming;Liu Taishun Acta mathematica scientia,Series A. 2006, 26 (1):  113-123.  Abstract ( 2491 )   RICH HTML PDF (326KB) ( 1721 )   Save In this paper, the authors generalize the definitions of several spaces of holomorphic functions from the unit disc in C to the unit ball in Cn, where the growth of holomorphic functions depends on a weight function. The authors investigate the relation between the growth and the boundary value of functions, and discuss the d uality of these spaces. The results generalize many known ones in the unit disc, but the method and skill here are different from the case of the unit disc Related Articles | Metrics

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Multiplication Operators in Orlicz Space Lu Qun;Cao Guang Fu Acta mathematica scientia,Series A. 2006, 26 (1):  124-128.  Abstract ( 2336 )   RICH HTML PDF (255KB) ( 1677 )   Save Multiplication operator is an important class of operators in function space.In this paper, many properties of multiplication operators are discussed, such as boundedness, compactness, and so on. Related Articles | Metrics

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On the Existence of Asymptotically Decaying Positive Solutions Cai Guolan;Ge Weigao Acta mathematica scientia,Series A. 2006, 26 (1):  136-142.  Abstract ( 2225 )   RICH HTML PDF (274KB) ( 1203 )   Save In this paper, the authors study the first order neutral differential equation [x(t)-cx(t-h)-c^*x(t+h^*)]'=p(t)x(g(t)) by the Krasnoselskii fixed point theorem, and obtain some new sufficient conditions for existence of asymptotically decaying positive solutions of the first order neutral differential equation. Related Articles | Metrics

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Existence of Multiple Solutions for the One-dimensional Singular p-Laplacian Equations Zhang Xiaoyan;Sun Jingxian Acta mathematica scientia,Series A. 2006, 26 (1):  143-149.  Abstract ( 2387 )   RICH HTML PDF (276KB) ( 1434 )   Save This paper deals with the existence of multiple solutions for the singularp-Laplacian nonlinear BVP (\varphi(u'))'+a(t)f(u)=0,\ u'(0)=u(1)=0 (or u(0)=u'(1)=0), where \varphi(s)=|s|^{p-2}s,\ p>1. Sufficient conditions are established for the multiplicity of solutions of this problem by using Leggett-Williams theorem.The results presented here generalize many known results Related Articles | Metrics

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Upwind Finite Volume Scheme for Semiconductor Device in Three Dimension Yang Qing Acta mathematica scientia,Series A. 2006, 26 (1):  150-160.  Abstract ( 2552 )   RICH HTML PDF (410KB) ( 1481 )   Save The mathematical model of the semiconductor device is described by the initial boundary value problem for a system of three quasilinear partial differential equations: one of elliptic type for the electrostatic potential, the other two of convection-dominated diffusion type for the conservation of electron and hole concentrations. For 3-d semiconductor device, the electrostatic potential equation is approximated with the aid of finite volume method, while the electron and hole concentration equations are approximated with upwind finite volume schemes. Error estimate of order $O(h+\Delta t)$ in $L^{2}$-norm is obtained. Related Articles | Metrics