Table of Content

26 September 1998, Volume 18 Issue 3 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Select

Weak Transverse and Weak Chaos Zhang Jianfeng, Xie Xiangdong Acta mathematica scientia,Series A. 1998, 18 (3):  241-245.  Abstract ( 67 )   RICH HTML PDF (338KB) ( 117 )   Save On the premise of unchange the fundamental characteristic of chaos, the article introduce the concept of weak transverse and weak chaos and prove that the diffeomorphism is weak chaotic if it have weak transverse homoclinic point. Related Articles | Metrics

Select

LMS Estimation and Invertion of Lithology Hu Bijin, Huang Jianzhong, Tian Jinwen, Fu Caifang, Zhu Hongzhang, Cui Jiongchen Acta mathematica scientia,Series A. 1998, 18 (3):  246-250.  Abstract ( 61 )   RICH HTML PDF (303KB) ( 21 )   Save In the paper, the problem on the inversion of two-valued lithology its discussed. The structure of LMS estimator is theoritically analyzed. Under hypothesis of space homogeneity, the recurrence formula of invariable matrix α=(αij) are obtained,and a computer algorithm is designed for simulating lithologies. Related Articles | Metrics

Select

Optimum Nonlinear Galerkin Algorithm for the Penalized Navier-Stokes Equations He Yinnian Acta mathematica scientia,Series A. 1998, 18 (3):  251-256.  Abstract ( 67 )   RICH HTML PDF (366KB) ( 18 )   Save This paper presents a optimum nonlinear Galerkin algorithm for solving the two-dimensional penalized Navier-Stokes equations. The algorithm consists in solving a nonlinear subproblem on a coarse grid finite element space XH⊂Xh(h<H) and solving a linear subproblem on a fine grid incremental finite element space Wh. If the linear finite elements are used and H=o(ε(-1/4)h1/2), then the algorithm is of the convergence rate of same order as the finite element Galerkin algorithm. However, this algorithm can save a large amount of computing time. Related Articles | Metrics

Select

The Regularization Theorem of the Singular Integral Equations on Characteristic Manifold in Clifford Analysis Huang Sha Acta mathematica scientia,Series A. 1998, 18 (3):  257-263.  Abstract ( 66 )   RICH HTML PDF (435KB) ( 132 )   Save In this paper, by thinking of the complex analysis in several variables, first we prove the two Poincare-Bertrand transformation formulae of the singular repeated integrals on char-acteristic manifold in Clifford analysis,and then proceed to consider the Fredholm's theory for singular integral equations, and give the regularization opelator of the singular integral equations. Related Articles | Metrics

Select

The Expression of the Solution of the First Kind Ⅲ-Posed Operator Equation Yan Yubin, Li Chunli Acta mathematica scientia,Series A. 1998, 18 (3):  264-269.  Abstract ( 56 )   RICH HTML PDF (325KB) ( 75 )   Save In this paper, we discuss the solution of the first kind ill-posed operator equation when A-1 hasn't been defined and A-1 isn't of single value. We give the necessary and sufficient condition to the existence and uniqueness for the solution of the equation in L2. When the solution exist, we give the expression of the solution. When the equation has more than one solution, we give the minimum norm solution. Also, we obtain the expression of the approximate solution and the error estimate. Related Articles | Metrics

Select

The Necessary Condition on the Global Existence of C1 Solution to 2-D Compressible Euler Equation Yin Huicheng Acta mathematica scientia,Series A. 1998, 18 (3):  270-276.  Abstract ( 59 )   RICH HTML PDF (398KB) ( 89 )   Save Under the appropriate assumptions on the initial data, we give a necessary condition on the global existence of C1 solution to two dimensional compressible Euler equation and prove a meaningful result on the "unsolved problem" in references[1],[2],[4] and so on. Related Articles | Metrics

Select

Nonorthogonal Wavelet Packets of Multiplicity r Feng Zhigang, Chen Gang Acta mathematica scientia,Series A. 1998, 18 (3):  277-283.  Abstract ( 49 )   RICH HTML PDF (377KB) ( 92 )   Save In this paper, we study the multiresolution analysis (Vm)m∈z of L2 (R) generated by r(finite) scaling functions φ1,φ2,…,φr. We derive the conditions of direct wavelet and wavelet packets decomposition of L2(R). The (dual) nonorthogonal wavelet packets and the stability of their basis are investigated and some results are presented. Related Articles | Metrics

Select

Two-Demensional Irreducible Representations of Braid Groups Tong Dianmin Acta mathematica scientia,Series A. 1998, 18 (3):  284-288.  Abstract ( 69 )   RICH HTML PDF (287KB) ( 60 )   Save All of the two-dimensional irreducible representations of braid groups are obtained by solving the definition equations of Bn directly. Related Articles | Metrics

Select

The Existence of Weak Solution for a Class of the Semiconductor Equation Xing Jiasheng, Wang Yuanming Acta mathematica scientia,Series A. 1998, 18 (3):  289-296.  Abstract ( 59 )   RICH HTML PDF (438KB) ( 175 )   Save In this paper, we consider the mixed boundary value problem for the semiconductor equations. Under the conditions of the non-negative boundary value,the existence result of the weak solutions to the problem is obtained. Related Articles | Metrics

Select

The Arc Length of the Lemniscate|w2+c|=1 Wang Chunjie Acta mathematica scientia,Series A. 1998, 18 (3):  297-301.  Abstract ( 116 )   RICH HTML PDF (257KB) ( 36 )   Save Let s(c) be the are length of the lemniscate|w2+c|=1, c ∈[0,+∞). In this paper we discuss some properties of the function s(c), and we solve the case n=2 of a conjecture proposed by Erdos, Herzog and Piranian. Related Articles | Metrics

Select

Several New Results for k-Deleted Graphs Wang Changping Acta mathematica scientia,Series A. 1998, 18 (3):  302-309.  Abstract ( 49 )   RICH HTML PDF (458KB) ( 16 )   Save If G is a graph and k is a positive integer,then a k-factor of G is a k-regular spanning subgraph. G is called a k-deleted graph if G-e has a k-factor for each edge e. In this paper, we obtain several new results for k-deleted graphs. Related Articles | Metrics

Select

The Qualitative Analysis of A Prey-Predator System of Holling's Ⅱ Functional Response wih Havesting Term Qhiu Weigen, Li Chuanrong, Liu Yongqing Acta mathematica scientia,Series A. 1998, 18 (3):  310-317.  Abstract ( 77 )   RICH HTML PDF (521KB) ( 16 )   Save The paper and its sister paper mainly investgate a prey-predator system of bolting's Ⅱ functional response with havesting term. By studying the change of relative situations of the separatrixs of two saddle points, a comparative completely qualitative conclusion is given. For the reasion of space,the part of the existence of the limits cycles is left to the next paper. Related Articles | Metrics

Select

Some kinds of decomposition of Banach space Shi Feng Acta mathematica scientia,Series A. 1998, 18 (3):  318-323.  Abstract ( 60 )   RICH HTML PDF (371KB) ( 19 )   Save In this paper, let Y be a Banach space with a special basis, Y(Xi,i∈N) be Banach space generated by Y. We study the geometric property of Y(Xi,i∈N) and the relationship between these two kind of Banach spaces. Related Articles | Metrics

Select

Proximal-subdifferential of lower semicontinuous functions and generalized mean value theorems Guo Xingming Acta mathematica scientia,Series A. 1998, 18 (3):  324-329.  Abstract ( 62 )   RICH HTML PDF (374KB) ( 63 )   Save This present paper show that, for general lower semicontinuous functions defined on Hilbert space E,the approximate mean value theorem such as that in[9] is also valid for Proximal-subdiferential. If E=[a,b]⊂R, the mean value theorem in inequality form is obtained. By use of the approximate mean value theorem, the Proximal-subdifferential descriptions of convexity, Lipschitz and constant properties of functions is given. Related Articles | Metrics

Select

On the Eigenvalue Problem for Monotone Operators With Compact Perturbations Zhou Haiyun, Chen Dongqing Acta mathematica scientia,Series A. 1998, 18 (3):  330-334.  Abstract ( 60 )   RICH HTML PDF (328KB) ( 94 )   Save In the present paper by using a new approximating technique we study the eigenvalue problem for monotone operators with compact perturbations. Our results improve and generalize those by Guan and Kartsatos recently. Related Articles | Metrics

Select

On the Complemented Subspace of the Space of Lipschitz Mappings Zhang Guoping, Zhao Junfeng Acta mathematica scientia,Series A. 1998, 18 (3):  335-341.  Abstract ( 78 )   RICH HTML PDF (389KB) ( 36 )   Save In this paper we study the structures properties of the space of Lipschitz mappings as a Banach spaces, mainly we have studied the complementarity of its closed subspace the space of bounded linear operators. Related Articles | Metrics

Select

A remark on the Folland-Stein theorem for the Heisenberg group Ouyang Caiheng, Liang Youming Acta mathematica scientia,Series A. 1998, 18 (3):  342-347.  Abstract ( 74 )   RICH HTML PDF (325KB) ( 20 )   Save In this note, based on the operator#br#La=-1/2∑j=1n(ZjZj+ZjZj)+iaT,a∈C,#br#the authors extend consideration to the operator#br#Lλ、μ、α=λ∑j=1nZjZj+μ∑j=1nZjZj+iaT,λ,μ,α∈C,#br#whereλ+μ≠0且λ≠α/2n,μ≠-α/2n).It is proved that if φa,b(z,t)=(|z|2-it)a(|z|2+it)b,a=(a-2nλ)/(2(λ+μ)),b=-(a+2nμ)/(2(λ+μ)) such that Ca,b=∫Hnψa,b,1(z,t)dV(z,t)is finite, here ψa,b,1(z,t)=-4(λ+μ)ab(|z|2+1-it)a-1(|z|2+1+it)b-1,then have#br#Lλ、μ、α φa,b=Ca,bδ#br#in the sense of distributions. Especially,as λ=μ=-1/2, the above result is just the Folland Stein theorem. Related Articles | Metrics

Select

Multiple Growth Paths,Multiple Stead States and Bifurcation Cai Donghan Acta mathematica scientia,Series A. 1998, 18 (3):  348-354.  Abstract ( 87 )   RICH HTML PDF (408KB) ( 34 )   Save In this paper, a Cass-Koopmans model with solvable endogenous fertility is given. We prove that the multiple growth paths and multiple steady states exist when the paramenters a and θ satisfies a>1+θ/2 and there is only one nonzero stead state and an unique growth path when a ≤ 1+θ/2. So the dynamical system undergoes a bifurcation when a=1+θ/2.We discuss the geometric properties of th multiple growth paths and explain the economic sence of the main results. Related Articles | Metrics

Select

On Nevanlinna's Characteristic Functions of Meromorphic functions in|z|<1 Wu Guirong Acta mathematica scientia,Series A. 1998, 18 (3):  355-360.  Abstract ( 55 )   RICH HTML PDF (321KB) ( 170 )   Save Let f(z) be a meromorphic function in|z|<1, then for ε>0 and o ≤ r<1, we have#br#T(r,f) ≤ C(h(r)/1-r)1+εT(R,f'),#br#where h(r) is a positive function and h(r) ≥ 1, and R=(1+rh(r))/(1+h(r)). we also apply the above result to study the common Borel points of a meromorphic function of infinite order and its differential polynomials. Related Articles | Metrics