Table of Content

01 November 1999, Volume 19 Issue 4 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

Character as solitary wave in a certain one-dimensional array Chen Liping Acta mathematica scientia,Series A. 1999, 19 (4):  361-367.  Abstract ( 847 )   RICH HTML PDF (376KB) ( 759 )   Save Travelling wave solution in a one dimensional array of two degre of freedom Hamiltonian system is considered. We show that in the long wave limit, the problem can be reduced to the analysis of the honoclinic orbits of perturbed system. with a resonance in the unperturbed system, we show that the perturbed system have multi pulse honoclinic orbits asgmptotic to a periodic orbit, or fixed points using energy phase method.Therefore,the array have travelling wave solutions analogous to multi pulse solitons. References | Related Articles | Metrics

Select

On the average hamming distance and variance for binary codes Xia Shutao Fu Fangwei Acta mathematica scientia,Series A. 1999, 19 (4):  368-372.  Abstract ( 760 )   RICH HTML PDF (288KB) ( 694 )   Save By using the dual distance distribution and its properties for binary code C with length n and number of codewords M, the Althofer-Sillke inequality is improved when M is odd. The exact values of minimum average Hamming distance of C are determined when M equals 2n-1 or 2n-1-1. References | Related Articles | Metrics

Select

Symmetry reductions and similarity solutions of variant boussintsq equation systems Fan Engui Zhang Hongqing Acta mathematica scientia,Series A. 1999, 19 (4):  373-378.  Abstract ( 780 )   RICH HTML PDF (309KB) ( 788 )   Save  Some new symmetry reductions and similarity solutions of variant Boussinesq equations systems are given by using direct method developed by clarkson and kruskal recently. Duffing equation and painlené Ⅱ type equation are included in reduction equations. Both poles and algebraic branch point for t can be entered into the solutions of variant Boussinesq equations. References | Related Articles | Metrics

Select

Approximate intertial marifolds under spline wavelet basis in weakly damped forced kdv equation Tian LIxin Lin Yurui Liu Zengrong Acta mathematica scientia,Series A. 1999, 19 (4):  379-386.  Abstract ( 785 )   RICH HTML PDF (383KB) ( 765 )   Save In this paper authors construct approximate inertial manifolds by spline wavelet basis in weakly damped forced KdV equation. The research will be used to study longtime dynamics behavior and local propertys of the system. References | Related Articles | Metrics

Select

Relations between focal points and shape operators of submanifolds in noncompact symmetic spaces LiGuanghan Wu Chuanxi Acta mathematica scientia,Series A. 1999, 19 (4):  387-396.  Abstract ( 713 )   RICH HTML PDF (371KB) ( 715 )   Save Let G be a non-compact Lie group, and ξ its Lie algebra. The structures of Lie group G and its Lie algebra ξ are carefuly studied, and the metric and Cartan decomposition of G and ξ are given. From the relation between Lie group and symmetric space, and important necesary and sufficient condition for existence of focal points of a submanifold in a non-compact symmetric space is obtained. At the same time, a computational method for the multiplicity of a focal point is also obtained. References | Related Articles | Metrics

Select

Mean entropy Fan Wentao Ding Yiming Acta mathematica scientia,Series A. 1999, 19 (4):  397-404.  Abstract ( 801 )   RICH HTML PDF (376KB) ( 876 )   Save Let X be a compact metric space, T:X→X be a continuous transformation, and m be a Borel measure on X. The mean topological entropy H* (T,m) and mean measure theoretical entropy H*(T,m) of T respect to m are defined via the localization of topological entropy and measure theoretical entropy of T. H*(T,m) (resp. H*(T,m)) is the weight of topological (resp. Measure theoretical) entropies of corresponding m topological (resp. Measure theoretical) chaotic attractors. So H*(T,m) (resp. H*(T,m)) is positive if and only if T has an  m topological (resp. measuretheoretical) chaotic attractor. For interval map f:I→I, the mean topological entropy repect to Lebesgue measure of f is denoted by H(f). It is proved that both {f:I→I: H(f)>c} and {f:I→I: H(f)=0} are dense in C0(I,I). References | Related Articles | Metrics

Select

solutions of the time dependent semiconductor equatons with avalance term Xing Jiasheng Wang Yuanming Acta mathematica scientia,Series A. 1999, 19 (4):  405-414.  Abstract ( 766 )   RICH HTML PDF (372KB) ( 911 )   Save The initial and mixed boundary value problems for the semiconductor equations with avalanche term are studied. Using method of approximation and the priori estimates, the existence of weak solutions for these problems are proved. References | Related Articles | Metrics

Select

Holder laws for local times increments of genenralized a-stable process Zheng Shuicao Zhunag Xingwu Acta mathematica scientia,Series A. 1999, 19 (4):  415-423.  Abstract ( 718 )   RICH HTML PDF (390KB) ( 711 )   Save In this paper generalized α-stable process is introduced. It contains N-parameter d-dimention generalized Brownian Sheet and N-parameter d-dimention α-stable process. The Holder laws for local times increments of this process is shown. References | Related Articles | Metrics

Select

interaction of particles limit cycle and phase transition Zhang Yifang Liu Zhengrong Acta mathematica scientia,Series A. 1999, 19 (4):  424-431.  Abstract ( 844 )   RICH HTML PDF (351KB) ( 1180 )   Save Based on the gauge theory of various interactions,some new solutions of the gauge field equations are discussed, the potential is introduced, and the relations among the results and limit cycle, various singular points are derived. Finally, it is expounded that these results possess probably physical meaning on the property and phase transition of particles. References | Related Articles | Metrics

Select

The upper(lower)semi-continuous points of support mapping in orlicz spaces Ji Donghai Wang Tingfu Teng Yanmei Acta mathematica scientia,Series A. 1999, 19 (4):  432-238.  Abstract ( 745 )   RICH HTML PDF (332KB) ( 686 )   Save The criteria of upper and lower semicontinuous points of support mapping in Orlicz function spaces endowed with Orlicz norm are given. Moveover the sufficient and necessary conditions of upper and lower continuity of support mapping in Orlicz function spaces are obtained. References | Related Articles | Metrics

Select

large sample properties of discrepancies Ma Changxing Zhang Runchu Acta mathematica scientia,Series A. 1999, 19 (4):  439-447.  Abstract ( 832 )   RICH HTML PDF (361KB) ( 891 )   Save  It is long time to use the discrepancy as criterion to measure uniformity of a design, but its properties isn't enough researched. In this paper, based on shifting method some properties of discrepancy are systematically given, including properties of whole, big cell and small cell shifting. These properties play important roles for constructing designs and samplings. References | Related Articles | Metrics

Select

total asymptotic stability behavior of solutions for almost periodic system of functional differential equations of neutral type Feng Chunhua Yang Xitao Acta mathematica scientia,Series A. 1999, 19 (4):  448-455.  Abstract ( 778 )   RICH HTML PDF (357KB) ( 749 )   Save In this paper, the existence of almost periodic solutions and its stability behavior without supposing bounded solutions was discussed. References | Related Articles | Metrics

Select

a futher analysisi of fixed point theorems on probabilistic normed spaces and their applications Xiang Shuhuang Acta mathematica scientia,Series A. 1999, 19 (4):  456-460.  Abstract ( 747 )   RICH HTML PDF (321KB) ( 850 )   Save  This paper proves that every probabilistic contraction map from complete set C to C has a unique fixed point, where C is a subset of a locally bounded probability normed space or a locally N-convex probabilistic normed space, and gives some applications in metric linear spaces. References | Related Articles | Metrics

Select

machenko equation of the unstable nonlinear schrodinger equation Chen Zhide Chen Xiangjun Acta mathematica scientia,Series A. 1999, 19 (4):  461-466.  Abstract ( 723 )   RICH HTML PDF (328KB) ( 841 )   Save  The unstable nonlinear Schrodinger(NLS) equaiton is solved by the inverse scattering transform. A transformation is made directly to the integral nuclei of the ZakharovShabat equation, and the Marchenko equation is thus derived. It is found that the Marchenko equation is as simple as that of a usual NLS equation , and the Zakharov-Shabat equation can be found from the Machenko equation by the inverse transformation. References | Related Articles | Metrics

Select

Matrix equation X+AXB=C and best approximation of a matrix on the lineat mainfold Hu Duanpin Acta mathematica scientia,Series A. 1999, 19 (4):  467-471.  Abstract ( 988 )   RICH HTML PDF (305KB) ( 750 )   Save In this paper, we give that a nessary and sufficient condition for the matrix equation X+AXB=C to have unique solution and the expression of unique solution. use the results abut X+AXB=C, we obtain that the expression of best approximation of the ‖A1XB1-C1‖2F +‖A2XB2-C2‖2F = min. References | Related Articles | Metrics

Select

singular directions of quasimeromorphic mappings Chen Tewei Sun Daochun Acta mathematica scientia,Series A. 1999, 19 (4):  472-478.  Abstract ( 728 )   RICH HTML PDF (322KB) ( 954 )   Save  We define Nevanlinna defections of quasimeromorphic mapping on the complex plane and prove that there is at least a Nevanlinna direction for quasimeromorphic mapping of infinite order and it is also a Borel direction with respect to the type function U(r). References | Related Articles | Metrics