Table of Content

25 December 2004, Volume 24 Issue 6 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

Attractivity of Positive Periodic Solution of Multispecies Ecological Delay System WEN Xian-Zhang, WANG Zhi-Cheng Acta mathematica scientia,Series A. 2004, 4 (6):  641-653.  Abstract ( 1472 )   RICH HTML PDF (422KB) ( 1291 )   Save In this paper, by means of comparison theorem and Liapunov functionals, the authors consider the global attractivity of positive  periodic  solution of multispecies ecological competitionpredator system with several periodic delays. Finally, by using  persistence theory,   the sufficient and necessary conditions of positive periodic solutions are obtained for predatorprey delay systems. References | Related Articles | Metrics

Select

Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators CENG Liu-Chuan Acta mathematica scientia,Series A. 2004, 4 (6):  654-660.  Abstract ( 1599 )   RICH HTML PDF (340KB) ( 1178 )   Save It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation involving the Lipschitz continuous accretive operator in a Banach space. Moreover, our result provides a general convergence rate estimate for the Ishikawa iterative sequence. From this result, it follows that the Ishikawa iterative sequence with errors alsoconverges strongly to the unique solution of the equation of the Lipschitz continuous strongly accretive operator. References | Related Articles | Metrics

Select

Explicit Traveling Wave Solutions for Some Nonlinear Evolution Equations LIU Chun-Ping Acta mathematica scientia,Series A. 2004, 4 (6):  661-668.  Abstract ( 1914 )   RICH HTML PDF (345KB) ( 1650 )   Save A method to construct the traveling wave solutions to non linear evolution equations is presented. The explicit solutions of the Hirota-Satsuma  equations, a class of nonlinear  ordinary differential equation  and the general ized coupled scalar field equations are obtained by using the method. References | Related Articles | Metrics

Select

On Analytic Properties of 4P_1higher order Analogue of the First Painlevé|Equation LI Xie-Zhou, YUAN Wen-Jun Acta mathematica scientia,Series A. 2004, 4 (6):  669-674.  Abstract ( 1771 )   RICH HTML PDF (324KB) ( 1144 )   Save In the present paper, the authors investigate value distribution of the higher a nalogues 4P_1 of the first Painlevé. The authors obtain some value distribution p roperties for the transcendental meromorphic solutions of 4P_1. References | Related Articles | Metrics

Select

A Nonlinear Conjugate Gradient Method under Exact Line Search SHI Zhen-Jun Acta mathematica scientia,Series A. 2004, 4 (6):  675-682.  Abstract ( 1741 )   RICH HTML PDF (349KB) ( 3173 )   Save The paper presents a nonlinear conjugate gradient method for unconstrained optimization problem, and proves its global convergence under exact line searches. The linear convergence rate is investigated when the objective function is uniformly convex. Numerical experiments show that the new algorithm is effective in practice. References | Related Articles | Metrics

Select

The Stochastic Decomposition for M/G/1 Queue with p Entering Discipline During Server Vacations TANG Ying-Hui, MAO Yong Acta mathematica scientia,Series A. 2004, 4 (6):  683-688.  Abstract ( 1700 )   RICH HTML PDF (345KB) ( 1280 )   Save This paper considers the M/G/1 queueing system with server vacations in whi ch the customers who arrive during server vacations enter the system with probab ility  p(0≤p≤1). By introducing the server busy period and using the Lapla ce or Laplace Stieltjes transform, both the recursion expression of the Laplace  transform of the transient distribution and the recursion expression of the equ ilibrium distribution for the queue length are obtained. Furthermore, the stocha s tic decomposition of the queue length at a random point in equilibrium and some  corresponding results under special cases are also given. References | Related Articles | Metrics

Select

Periodic Solutions of Liénard Equations with Delay BANG Shi-Guo Acta mathematica scientia,Series A. 2004, 4 (6):  689-693.  Abstract ( 1606 )   RICH HTML PDF (310KB) ( 1193 )   Save By using continuation theorem in coincidence degree theory, the existence of per iodic solutions  for a class of Liénard Equations with delay x¨+f(x)x·+g(∫^0_(-r)x(t+s)dm(s))=p(t)is discussed. S ome onesided restrictive conditions are derived References | Related Articles | Metrics

Select

Delay dependent Stability of Cellular Neural Networks with Delays ZHANG Qiang, MA Run-Nian Acta mathematica scientia,Series A. 2004, 4 (6):  694-698.  Abstract ( 1654 )   RICH HTML PDF (319KB) ( 1370 )   Save A new sufficient condition which guarantees global exponential stability of the equilibrium point of cellular neural networks with delays is obtained by utilizing Lyapunov functional method. The condition presented here involves delays. Some existing results in the literature are included as the  special cases. An example is also given to show the efficiency of the method. References | Related Articles | Metrics

Select

Estimates of Heat Kernel with Potential on Complete Manifold WANG Lin-Feng Acta mathematica scientia,Series A. 2004, 4 (6):  699-713.  Abstract ( 2073 )   RICH HTML PDF (447KB) ( 1254 )   Save First the author  gets a gradient estimate of the heat eq uation's positive solution with potential on a complete manifold which is not compact; secondly, the author  uses the technique of geodesic to get Harnack inequ alities;moreover, the author  eatablishes two integral inequalities; together wi th Harnack inequalities, the author  gets the upper and lower bounds of heat ker nels; at last, the author  uses function's result to dominant  heat kernel of  p forms.  References | Related Articles | Metrics

Select

The Difference Between IR and &beta|for the Graphs with Δ≤3 WANG Chun-Xiang, MAO Jing-Zhong Acta mathematica scientia,Series A. 2004, 4 (6):  714-716.  Abstract ( 1120 )   RICH HTML PDF (280KB) ( 1114 )   Save Let G(V, E) be a graph, β and IR its independence number and upperirre dundance number respectively. In this paper, the authors prove the conjecture in  ［6］. References | Related Articles | Metrics

Select

Analysis on the Robustness of Two Classes of Uncertain Systems with Time Delay WANG Zhi-Zhen, WANG Long, YU Wen-Sheng Acta mathematica scientia,Series A. 2004, 4 (6):  717-722.  Abstract ( 1818 )   RICH HTML PDF (373KB) ( 1090 )   Save In this paper, the D stability of two classe s of systems with parametric uncertainty and time delay are studied. Several nec essary and sufficient conditions  are given. The results are useful in theore tic and practical research of feedback control systems with time delay.   References | Related Articles | Metrics

Select

Existence and Global Attractivity of Almost Periodic Solutions for Hopfield Neural |Networks |with Variable Delay DIAO Hong-Yong, WANGGuang-Lan Acta mathematica scientia,Series A. 2004, 4 (6):  723-729.  Abstract ( 2368 )   RICH HTML PDF (371KB) ( 1037 )   Save In the paper, using the theory of fixed point and differential inequality tec hnique, the authors study the existence and global attractivity of almost period ic solutio ns for Hopfield neural networks with variable delay. The criteria presented here  are more general than those given in the related literature. References | Related Articles | Metrics

Select

Iterative Processes with Errors for Fixed Points \=of Nonlinear |ΦPseudocontractive Mappings XU Yu-Guang Acta mathematica scientia,Series A. 2004, 4 (6):  730-736.  Abstract ( 1357 )   RICH HTML PDF (345KB) ( 1382 )   Save The purpose of this paper is to introduce Φpseudocontractive mappings-aclass of mappings which is much more general than the important class of　strongly pseudocontractive mappings and to study approximate problems of fixed point for the mappings by Ishikawa and Mann iterative processes with errors in  more general settings. The results presented in this paper show that the uniformly continuity of mapping T ensures the Ishikawa iterative sequence converges strongly to unique fixed point of T in a Banach space X; if X is uniformly smooth then the continuity of T is not necessary. References | Related Articles | Metrics

Select

The Topological Classification of Plane Phase Diagram of\=a Class |of Quintic Hamiltonian System CHEN Guo-Wei, YANG Shen-An Acta mathematica scientia,Series A. 2004, 4 (6):  737-751.  Abstract ( 1685 )   RICH HTML PDF (745KB) ( 1437 )   Save This paper studies a class of quintic Hamiltonian system. By analysising and calculating the coefficients of the system, we obtain all topological types of the phase portraits to the system, which will be useful to study its perturbed system later. References | Related Articles | Metrics

Select

Local Tail Asymptotic Relations for the Stationary Waiting Time Distribution of |GI/G/[STHZ]1[STBZ]/∞ Queueing System JIANG Chao Acta mathematica scientia,Series A. 2004, 4 (6):  752-757.  Abstract ( 1372 )   RICH HTML PDF (341KB) ( 1191 )   Save The tail behavior of the stationary waiting time distribution W of the GI/G/1/∞ queueing system has been extensively investigated in the classical literature. This paper derives  a set of local tail asymptotic relations for this distribution W for cases where the service time is exponentially or subexponentially distributed. References | Related Articles | Metrics

Select

Fillup Discs of Quasimeromorphic Mappings ZHANG Hong-Shen, SUN Dao-Chun Acta mathematica scientia,Series A. 2004, 4 (6):  758-766.  Abstract ( 1535 )   RICH HTML PDF (350KB) ( 1289 )   Save In this paper, fillingup discs of quasimeromorphic mappings are showed  in lim[DD(X]r→∞〖DD)〗〖TX-〗[SX(]S(r,f)[]lgr〖SX)〗=∞  or finite positive order,  or partial zero order Borel direction or finite posiQuasimeromorphic mapping; Fillingup disctive order Borel direction. References | Related Articles | Metrics

Select

The Maximum Entropy Function Sequence for Convex Programming and Its Convergence CHEN Ye-Hua, CHEN Zhen-Long Acta mathematica scientia,Series A. 2004, 4 (6):  767-771.  Abstract ( 1630 )   RICH HTML PDF (322KB) ( 1399 )   Save In this paper, the authors introduce a sequence of the maximum entropy functionfor the convex programming problems by using the Lagrange multiplier method and norm mathematics, so that the illconditioned algorithm of the numerical calcul ation is averted. At the same time, the uniform convergence for the maximum entropy sequence is proved. References | Related Articles | Metrics

Select

Normal Form of Skewsymmetric Matrices |and Ordersof Pseudosymplectic Groups over TUN Tan Acta mathematica scientia,Series A. 2004, 4 (6):  772-785.  Abstract ( 1700 )   RICH HTML PDF (461KB) ( 1059 )   Save Let \$R=Z/2\+kZ\$, where \$k>1\$. By matrix method , the normal forms of skewsymmetric matrices over \$R\$ are determined. Let \$G\+m\-p(R,H)={P∈GL\-m(R)|PHP′=H}\$ be  pseudosymplectic group determined by matrice \$H\$, where \$H=[JB((][HL(2]0[]I\+\{(v)\}\=-I\+\{(v)\}[]0[HL)][JB))]Δ，Δ=[JB((][HL(2]\{2\}[TX-]\+\{k-1\}[]\{1\}[TX-]\=-\{1\}[TX-][]0[HL)][JB))]. \$ The author  computes the order of  \$|G\+m\-P(R,H)|.\$ References | Related Articles | Metrics

Select

Hamilton Matrix and the Stabilizing Solutions of〖STHZ〗 the H\-2 Algebraic YANG Dong-Mei, ZHANG Qiang-Ling, TAO Bei, JING Hai-Yang Acta mathematica scientia,Series A. 2004, 4 (6):  786-795.  Abstract ( 1654 )   RICH HTML PDF (377KB) ( 1526 )   Save Hamilton matrix and \$H\-2\$ algebraic Riccati equations for linear continuoustime descriptor systems are studied. A standard singular \$H\-2\$ algebraic Riccati equation and its associated Hamilton matrix are presented. Some important properties of the Hamilton matrix are given. Furthermore, a sufficient condition such that the stabilizing solutions of the equations exist is obtained and the solutions algorithm is given. This condition is of generality. The main theorems are the extension of some results of normal systems. References | Related Articles | Metrics