Table of Content

25 December 1992, Volume 12 Issue 4 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

GLOBAL SMOOTH SOLUTIONS TO CAUCHY PROBLEMS FOR MULTIDIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS Tan Dechun, Chang Tong Acta mathematica scientia,Series B. 1992, 12 (4):  361-365.  Abstract ( 44 )   RICH HTML PDF (290KB) ( 28 )   Save Related Articles | Metrics

Select

ISOMETRIES OF THE UNITE SPHERE Ma Yumei Acta mathematica scientia,Series B. 1992, 12 (4):  366-373.  Abstract ( 65 )   RICH HTML PDF (476KB) ( 33 )   Save It is extended that DARYL TINGLEY's results about that isometries between the unit spheres of finite dimensional Banach Spaces necessarily map antipodal points to antipodal points. Now, the results is obtained in strictly convex (or l1) spaces, i.e.:If X, Y are two strictly convex (or l1) spaces, and S(X), S(Y) are the unit spheres of X and Y respectively,f:S(X)onto→S(Y) is an isometry, then f(-x)=-f(x), for any x in S(X). Related Articles | Metrics

Select

MIMUMUM DEGREE AND BINDING NUMBER FOR k-FACTORS WITH PRESCRIBED PROPERTIES Chen Ciping Acta mathematica scientia,Series B. 1992, 12 (4):  374-380.  Abstract ( 47 )   RICH HTML PDF (470KB) ( 29 )   Save Let integer k ≥ 1, G be a graph of order n,n ≥ max {4k-6, 4} and kn=0 (mod 2). Assume that the binding number of G is more than 2-2/n or the minimum degree of G is more than n/2. We prove that (i) G has a k-fartor that contains a given edge; (ii) G has a k-factor that does not contain a given edge. Related Articles | Metrics

Select

THE SOLUTION OF RANDOM EIGENVALUE PROBLEM WITH SMALL STOCHASTIC PROCESSES Xia Ningmao Acta mathematica scientia,Series B. 1992, 12 (4):  381-391.  Abstract ( 51 )   RICH HTML PDF (659KB) ( 29 )   Save This paper considers an eigenvalue problem containing small stochastic processes. For every fixed n, we can use the Prüfer substitution to prove the existence of the random solutions λn, and un in the meaning of large probability. These solutions can be expanded in ε regularly, and their correction terms can be obtained by solving some random linear differential equations. Related Articles | Metrics

Select

SOME EQUAL DIVISIONS ON ORDERED TREE SET Wang Zhenyu Acta mathematica scientia,Series B. 1992, 12 (4):  392-399.  Abstract ( 56 )   RICH HTML PDF (421KB) ( 30 )   Save We say a divisien (S=SA∪SB, g) is equal if it divides set S into two subsets SA and SB satisfying f(SA)=f(SB), where f is som attribute function on these sets and SA∩SB need not be empty. In the present paper, we have obtained some equal divisions on set of ordered tree with n nodes:two equal divisions on tree set; two equal divisions on node set; two divisions on leaf set, one is equal, another one is "asymptotically" equal We conclude that, ordered tree set is on its good behavior in equal dividing. Related Articles | Metrics

Select

SINGULAR PERTURBATION FOR A REACTION DIFFUSION SYSTEM IN BACTERIA GROWTH Mo Jiaqi Acta mathematica scientia,Series B. 1992, 12 (4):  400-407.  Abstract ( 51 )   RICH HTML PDF (451KB) ( 26 )   Save In this paper, a mathematical model for a class of reaction diffusion system in bacteria growth is studied Under suitable conditions the formal asymptotic expansions of solution for the proposed problem is constructed and a uniformly valik solution to any degree of precision is proved by using the method of differential inequalities. Related Articles | Metrics

Select

AN ASYMPTOTIC ESTIMATION OF THE MOMENTS FOR TWO-DIMENSIONAL POLYMER MEASURE Zhou Xianyin Acta mathematica scientia,Series B. 1992, 12 (4):  408-417.  Abstract ( 57 )   RICH HTML PDF (547KB) ( 28 )   Save Let vT (g) be the polymer measure in two dimensions and {w (t)} its coordinate process. This paper presents the following estimations:For any given g>0 and α>0, there exist constants C1, C2 ∈ (0, ∞) such that C2(inT)-α ≤ EvT(g)|ω(T)|α ≤ C1Tα,∀T ≥ 0 Related Articles | Metrics

Select

ON THE NUMBER OF EULERIAN PLANAR MAPS Liu Yanpei Acta mathematica scientia,Series B. 1992, 12 (4):  418-423.  Abstract ( 49 )   RICH HTML PDF (339KB) ( 34 )   Save This paper presents the number of combinatorially distinct rooted Eulerian planar maps with the number of non-root-vertices and the number of non-root-faces as two parameters. The parametric expressions for determining the number in the loopless Eulerian case are also obtained. Related Articles | Metrics

Select

BA SEQUENCE SPACES Ma Jigang Acta mathematica scientia,Series B. 1992, 12 (4):  424-434.  Abstract ( 52 )   RICH HTML PDF (644KB) ( 32 )   Save In this paper we introduce and discuss the Ba sequence spaces. A characteristic of separability of Ba sequence space is given. And other important properties of Ba sequence spaces are discussed. Related Articles | Metrics

Select

SOLUTION TO A PARAMETRIC EQUATION WITH GENERALIZED BOUNDARY CONDITION IN TRANSPORT THEORY Wang Shenghua, Yao Aixiang Acta mathematica scientia,Series B. 1992, 12 (4):  435-442.  Abstract ( 60 )   RICH HTML PDF (479KB) ( 35 )   Save This paper deals with the solution of a parametric equation with generalized boundary condiiton in transport theory. It gives the distribution of parameter (so called δ-eigenvalue[1]) with which the equation has non-zero solution. A necessary and sufficient condition for the existence of; he control critical eigenvalue δ0 is established. Related Articles | Metrics

Select

EXISTENCE AND INVARIANCE FOR CONVECTION, DISPERSION, REACTION SYSTEMS WITH PRESSURE Xie Chunhong, He Taiping, Bai Guohong Acta mathematica scientia,Series B. 1992, 12 (4):  443-456.  Abstract ( 46 )   RICH HTML PDF (861KB) ( 32 )   Save In this paper, we consider the initial boundary value problem of Convection-Dispersion-Reaotion system which arise in solute transport or thermal transport in groundwater. Also, we prove the existence of the classical solutions of these systems. Related Articles | Metrics

Select

ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES Zhu Lixing Acta mathematica scientia,Series B. 1992, 12 (4):  457-462.  Abstract ( 53 )   RICH HTML PDF (351KB) ( 26 )   Save In this paper, we give some results for checking the measurability of functional of empirical processes, their direct applications concern with the measurability of statistics constructed by Projection Pursuit technique, thus the results obtained provide a basis in theory for projection pursuit study. Related Articles | Metrics

Select

ON THE ASYMPTOTIC ASSIGNMENT OF THE BOUNDS OF DECREASING RATE FOR A TIME-VARYING LINEAR CONTROL SYSTEM Qing Huashu Acta mathematica scientia,Series B. 1992, 12 (4):  463-471.  Abstract ( 46 )   RICH HTML PDF (598KB) ( 31 )   Save In the paper the problem on the assignment of the bounds of decreasing rate for a time-varying linear control system is discussed. The sufficient and necessary condition for bounds of decreasing rate of a time-varying linear system to be assigned arbitrarily is presented. It is pointed out that for any given real number m, M, m<M, there exists a linear state feedback with time-varying gain matrix which makes the corresponding closed-loop system possess M and m as its upper bound and lower bound of the decreasing rate respectively. For the purposes of its application to system design the concept of the asymptotic assignment of the bounds of decreasing rate is also proposed. The method dealing with the asymptotic assignment is given too. Related Articles | Metrics

Select

A LAW OF THE ITERATED LOGARITHM FOR NEAREST NEIGHBOR ESTIMATION OF MULTIVARIATE DENSITY FUNCTION Hong Shenyan, Chen Guijing, Kong Fanchao, Gao Jiti Acta mathematica scientia,Series B. 1992, 12 (4):  472-478.  Abstract ( 44 )   RICH HTML PDF (406KB) ( 26 )   Save Let X be a d-dimensional random vector with unknown density function f(z)=f(z1,…, zd), and let fn be teh nearest neighbor estimator of f proposed by Loftsgaarden and Quesenberry (1965). In this paper, we established the law of the iterated logarithm of fn for general case of d ≥ 1, which gives the exact pointwise strong convergence rate of fn. Related Articles | Metrics