Table of Content

27 April 2004, Volume 24 Issue 2 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

Two parameter Regularization Method for Nonlinear Ill-posed |Operator Equations YANG Hong-Qi, HOU Zong-Yi Acta mathematica scientia,Series A. 2004, 24 (2):  129-134.  Abstract ( 2022 )   RICH HTML PDF (329KB) ( 1607 )   Save In this paper the authors present a kind of two parameter regularization method for solving nonlinear ill posed operator equations,and the existence, stability, convergence of the solution of  this method is discussed. References | Related Articles | Metrics

Select

The Boundedness of Perturbed Systems with Impulsive Effects FU Xi-Lin, WANG Ke-Ning, LAO Hui-Xue Acta mathematica scientia,Series A. 2004, 24 (2):  135-143.  Abstract ( 1701 )   RICH HTML PDF (380KB) ( 1203 )   Save  This paper, by variational Lyapunov method, has studied boundedness in terms of  two measures of perturbed systems with impulsive effects. Compared to the former  results obtained by Lyapunov method, it is not difficult to find that variation al Lyapunov method is an extension of Lyapunov method. References | Related Articles | Metrics

Select

Oscillation Theorems for Elliptic Equations of Second Order XU Zhi-Ting, MA Dong-Kui, GU Bao-Guo Acta mathematica scientia,Series A. 2004, 24 (2):  144-151.  Abstract ( 2045 )   RICH HTML PDF (342KB) ( 1221 )   Save Consider the second order elliptic  equations ∑^n_{i,j}∂/∂x_i{A_{i,j}(x,y)∂/∂x_j}+q(x)f(y)=0  (E),Some oscillation criteria are obtained for Eq.(E) in an exterior domain Ω R^n (n≥2), where q(x) is allowed to change sign.Generalized partial Riccati transformation and averaging technique are employed to establish our results. References | Related Articles | Metrics

Select

F harmonic Maps for Minimal Submanifoldswith Positive Ricci Curvature LI Jin-Tang Acta mathematica scientia,Series A. 2004, 24 (2):  152-156.  Abstract ( 1591 )   RICH HTML PDF (299KB) ( 1222 )   Save In this paper,the unstability of  F harmonic maps for minimal submanifolds  in the unit sphere with positive Ricci curvature is studied,A theorem which generalizes the result of  [1] is ob tained. References | Related Articles | Metrics

Select

On the Nevanlinna Points of Quasimeromorphic Mappings in the Unit Circle LI Chun-Hong, SUN Dao-Chun Acta mathematica scientia,Series A. 2004, 24 (2):  157-163.  Abstract ( 1521 )   RICH HTML PDF (323KB) ( 1134 )   Save This present paper defines Nevanlinna point and Borel point of quasimeromorphic mapping in unit circle and proves the existence of Nevanlinna point and Borel point for quasimeromorphic mapping with condition ~lim_{r→1}{T(r)/{log1/(1-r)}}=∞. References | Related Articles | Metrics

Select

Asymptotic Shock Solution for a Nonlinear Equation MO Jia-Qi, HAN Xiang-Lin Acta mathematica scientia,Series A. 2004, 24 (2):  164-167.  Abstract ( 1494 )   RICH HTML PDF (292KB) ( 1484 )   Save In this paper, the higher precision approximation of the asymptotic  shock solution for a nonlinear problem is obtained by using a simple method. References | Related Articles | Metrics

Select

The Fault Tolerant Analysis of Star Graph Interconnection Network NIE Xiao-Dong, LIU Hong-Mei, XU Jun-Ming Acta mathematica scientia,Series A. 2004, 24 (2):  168-176.  Abstract ( 1628 )   RICH HTML PDF (457KB) ( 1361 )   Save The restricted connectivity and the restricted fault diam eter are two reliability measures for interconnection networks, in which the aut hors assume that all the neighbors of a vertex do not fail at the same time. In  this paper, the authors show the uniqueness of minimal (vertex) separating set s and of minimal restricted separating sets in the star graphs. The authors present that for the n star graph S_n, its restricted connectivity is 2n -4 and its restricted fault diameter is |_3(n-1)/2_|+2 and n≥7 and |_3(n-1)/2_|+3 for n=4,6, i.e., its fault diameter plus one. References | Related Articles | Metrics

Select

Numerical Approximation of Solution Branches of Multiple Limit Point WANG He-Yuan, SHU Zhen-Guang, LI Kai-Tai Acta mathematica scientia,Series A. 2004, 24 (2):  177-184.  Abstract ( 1529 )   RICH HTML PDF (357KB) ( 1086 )   Save Numerical approximation of solution branches for multi ple limit point is discussed in this paper, struction of solution branches at multiple limit point is given; extended system of solution branches is constructed;error estimates of solution is presented. References | Related Articles | Metrics

Select

The Modeling Technique of Multi Hierarchy Statistic dynamics and its Application LIN Zhen-Shan, LIU Hui-Yu Acta mathematica scientia,Series A. 2004, 24 (2):  185-192.  Abstract ( 1427 )   RICH HTML PDF (552KB) ( 1368 )   Save In this paper, the technique of wavelet analysis and the theory of equilibrium state are combined to propose modeling technique of climate catastrophe points. Comparing with traditional statistic modeling technique, this technique has the sense of pure dynamics and is able to determine catastrophe points rigorously.Comparing with traditional method of dynamical numerical forecast, this method has made full use of the historical information provided by data and been able to work out the transition time of the climate states with different time scale rigorously.Moreover, the physical meaning of the model is very clear and the calc ulation is fairly simple. References | Related Articles | Metrics

Select

Stabilization of the Phase-field System via Internal Feedback |Control WANG Geng-Sheng, LI Shu-Gang Acta mathematica scientia,Series A. 2004, 24 (2):  193-199.  Abstract ( 1788 )   RICH HTML PDF (344KB) ( 1214 )   Save In this paper, the authors show that the solutions to the  phase field system in domain Ω in R^n (n=1,2,3), are stabilizable by internal controllers with the supports in subsets ω,ω_1in Ω under some conditions on ω and ω_1. References | Related Articles | Metrics

Select

Construction of |M Band Superfunction YOU Xin-Ge, LI La-Qing, CHEN Qiu-Hui Acta mathematica scientia,Series A. 2004, 24 (2):  200-206.  Abstract ( 1937 )   RICH HTML PDF (330KB) ( 1293 )   Save The condition of approximation are associated with the superfunction. The authors prove that superfunction can be constructed explicitly by the cofficients and the corresponding algorithm of constructing superfunction is given as well. For case M=2, the example previously studied by G. Strang and V.Strera is given and some new properties by using the authors'algorithm are obtained. References | Related Articles | Metrics

Select

Structare of Sequentially Additive Graphs CHEN Dong-Ling, HAN Cong-Ying Acta mathematica scientia,Series A. 2004, 24 (2):  207-210.  Abstract ( 1506 )   RICH HTML PDF (326KB) ( 1002 )   Save Given a (p,q) graph G and positive integer k, an k sequentially additive numbering of G is an assignment of distinct numbers k,k+1,…,k+p+q-1,  to the p+q elements of G such that every edge uv of G receives the sum  of the numbers assigned to the vertices u and v. A graph which admits such an assignment to its  elements is called an k sequentially additive graph. In this paper, the authors give some  structural properties on sequentially additive graph, and a construction of inf inite families of k sequentially additive graphs.   References | Related Articles | Metrics

Select

Stability Analysis of the Stiffly Accurate Runge Kutta Methods for System of Pantograph Equations XU Yang, LIU Ming-Zhu Acta mathematica scientia,Series A. 2004, 24 (2):  211-215.  Abstract ( 1799 )   RICH HTML PDF (324KB) ( 1330 )   Save The paper deals with asymptotical stability of the Runge-Kutta methods with variable stepsize f or the system of pantograph equations. A kind of general variable stepsize scheme is given out. It is shown that the Runge-Kutta methods are asymptotically stable if and only  if the modulus of the stability function at infinity is less than 1. References | Related Articles | Metrics

Select

Strong Convergence of Approximated Sequences for Asymptotically Nonexpansive Mappings in Banach Spaces HU Chang-Song Acta mathematica scientia,Series A. 2004, 24 (2):  216-222.  Abstract ( 1536 )   RICH HTML PDF (326KB) ( 1219 )   Save In this paper, the author studies the convergence of the sequence defined by x_0∈C,x_{n+1}=α_n T^n x_n+(1-α_n)x, n=0,1,2,…,where 0≤α_n≤1and T is an asymptotically nonexpansive mapping from a closed convex subset of a Banach space into itself and it is proved that, if lim_{n→∞}{(k_n-1)/(1-t_n)}=0,lim‖z_n-Tz_n‖=0  holds, then T has a fixed point if and only if {z_n} remains bounded as n→∞, in this case {z_n} converges strongly to a fixed point of T References | Related Articles | Metrics

Select

Regions of Tight Monomials in Quantum Group of Type A_4 HU Yu-Wang, YU Ping Acta mathematica scientia,Series A. 2004, 24 (2):  223-230.  Abstract ( 1717 )   RICH HTML PDF (374KB) ( 1610 )   Save The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations. Tigh t monomials are the simplest elements in the  canonical  basis. Based on Lusztig's  work, the region s of tight monomials in quantized enveloping algebra of  type A_4 should  be  determined in this paper. References | Related Articles | Metrics

Select

Quasi Sure Local Strassen's Law of the Iterated Logarithm for Diffusion Pocesses LIU Yong-Hong, GAO Fu-Qing Acta mathematica scientia,Series A. 2004, 24 (2):  231-237.  Abstract ( 1282 )   RICH HTML PDF (338KB) ( 1113 )   Save The authors obtain quasi sure local Strassen's laws of the iterated logarithm for diffusion processes and the iterated stochastic integrals by large deviation techniques. References | Related Articles | Metrics

Select

The Continuity of the Solution for a Class of Degenerate Schrodinger Equations JIN Yong-Yang, DAI Xin-Rong Acta mathematica scientia,Series A. 2004, 24 (2):  238-245.  Abstract ( 1939 )   RICH HTML PDF (363KB) ( 1338 )   Save The continuity of the solutions of  a class of degenerate Schrodinger equation is obtained. The form of the equation is: Lu+vu=(f_i)_{x_i}, where L is a degenerate  elliptic operator, v belongs to the analogy of the Kato class，and f_i belongs to some weighted L^p space. References | Related Articles | Metrics

Select

Meromorphic |Functions |with Derivatives Sharing Four |Small |Functions QIU Gan-Di Acta mathematica scientia,Series A. 2004, 24 (2):  246-250.  Abstract ( 1772 )   RICH HTML PDF (295KB) ( 1344 )   Save Inthispaper, the author mainly discusses the uniqueness problem of derivatives of meromorphic functions that share four small functions, and considers that the case of Nevanlinna's Four Values Theorem when the derivatives of meromorphic functions that share some small functions,which generalizes and improves a recent result by the author. References | Related Articles | Metrics

Select

A Chaotic Poly phase Pseudorandom Sequence HU Han-Ping, LIU Shuang-Hong, WANG Zu-Xi, Wu Xiao-Gang Acta mathematica scientia,Series A. 2004, 24 (2):  251-256.  Abstract ( 1456 )   RICH HTML PDF (360KB) ( 1461 )   Save A method based on Logistic map to generate poly phase （2n phases） sequence proposed in this paper. It gives the sufficient condition for this map to produce an independent and identically distributed (i.i.d) poly phase pseudo r andom (PN) sequence. The theoretical and numerical analyses show that the sequen ce also has a high complexity. It gives a fast algorithm to generate this sequence and general expression of the sequence in the paper too. The sequence can be used in fields such as information security and spread spectrum communication. References | Related Articles | Metrics