Table of Content

25 March 1992, Volume 12 Issue 1 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

REGULARITY PROPERTIES OF AN IDENTIFICATION PROBLEM FOR GEOTHERMAL RESERVIOR EXPLOITATION Dai Shuhuan Acta mathematica scientia,Series B. 1992, 12 (1):  1-6.  Abstract ( 41 )   RICH HTML PDF (343KB) ( 32 )   Save The problem of determining the pass on heat coefficient of the water-bearing stratum in geothermal reservior exploitation is investigated using the regularised output-least-square formulation. The regularity properties of the coefficient is obtained. Related Articles | Metrics

Select

INVERSE POWER METHOD AND WEIGHTED SOBOLEV SPACES Ding Yi Acta mathematica scientia,Series B. 1992, 12 (1):  7-21.  Abstract ( 37 )   RICH HTML PDF (739KB) ( 29 )   Save Related Articles | Metrics

Select

SOME NEW RESULTS ON MARTINGALE INEQUALITIES AND GEOMETRY IN BANACH SPACES Liu Peide Acta mathematica scientia,Series B. 1992, 12 (1):  22-32.  Abstract ( 43 )   RICH HTML PDF (700KB) ( 31 )   Save Related Articles | Metrics

Select

C1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS Yan Shusen, Li Gongbao Acta mathematica scientia,Series B. 1992, 12 (1):  33-41.  Abstract ( 49 )   RICH HTML PDF (489KB) ( 29 )   Save We use the blow-up method to get the C1,α partial regularity results for the following elliptic systems satisfying natural growth conditions: -DαAαi(x,u,Du)=Bi(x,y,Du),x∈Ω,i=1,…,N,u∈W1,q(Ω,RN)∩L∞(Ω,RN),q ≥ 2. Related Articles | Metrics

Select

OSCILLATIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS Zhou Detang Acta mathematica scientia,Series B. 1992, 12 (1):  42-50.  Abstract ( 48 )   RICH HTML PDF (502KB) ( 29 )   Save In this paper, we obtain some sufficient conditions for the oscillation and nonoscillation of some first order linear neutral functional differential equations. A mistake in the literature is also presented at the end of the paper. Related Articles | Metrics

Select

EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTION TO INHOMOGENEOUS SYSTEMS OF GAS DYNAMICS WITH VISCOSITY Lu Yunguang Acta mathematica scientia,Series B. 1992, 12 (1):  51-61.  Abstract ( 44 )   RICH HTML PDF (586KB) ( 27 )   Save This paper considers the existence and asymptotic behaviors of the solutions to the inhomogeneous systems of gas dynamics with viscosity: ut+px(v)=εuxx+F(u,v) vt-ux=εvxx+G(u,v) with initial value (u,v)(x,0)=(u0(x),v0(x)). Related Articles | Metrics

Select

NON-EXISTENCE FOR QUASILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS Shen Yaotian, Ma Runian Acta mathematica scientia,Series B. 1992, 12 (1):  62-70.  Abstract ( 49 )   RICH HTML PDF (509KB) ( 32 )   Save Related Articles | Metrics

Select

THE APPLICATION OF HOMOGENEOUS FUNCTION ANALYSIS TO RELATIVISTIC WkB APPROXIMATIONS Lu Shucheng, Ni Guangjiong Acta mathematica scientia,Series B. 1992, 12 (1):  71-78.  Abstract ( 48 )   RICH HTML PDF (488KB) ( 30 )   Save This paper illustrates.how homogeneous function, analysis can be. generalized to relativistic quantum mechanics for finding the WKB energy levels of Dirac particle in the positive power-law potentials (V=λrv, S=λr'v, λ, λ', v>0). The results show that the equation determining energy levels contains a product of hypergeometric function with some gamma functions, and the energy of particle is proportional to (2nr+l+3/2)(2v/1+v) under the condition that the relativistic effect plays a principal role in contrast with the (2nr+l+3/2)(2v/2+v) dependence in nonrelativistic case. Related Articles | Metrics

Select

BEURLING-DENY FORMULAE ON BANACH SPACES Fan Ruzong Acta mathematica scientia,Series B. 1992, 12 (1):  79-84.  Abstract ( 51 )   RICH HTML PDF (348KB) ( 42 )   Save Let B be a separable real Banach space and m be a positive measure on B. In this paper, we will establish the Beurling-Deny formulae of the Dirichlet forms on L2(B, dm). Related Articles | Metrics

Select

A NOTE ON THE NUMBER OF BIPARTITE PLANAR MAPS Liu Yanpei Acta mathematica scientia,Series B. 1992, 12 (1):  85-88.  Abstract ( 42 )   RICH HTML PDF (227KB) ( 32 )   Save Let Hn,m be the number of rooted non-isomorphic bipartite planar maps with m edges and the valency of the rooted face being 2n. This note provides the following results: (Ⅰ)Hn,m=H1,m=∑i=1m|△i|m, m ≥ n;0,m<n;H1,m=(3·2m-1(2m)!)/(m!(m+2)!),m ≥ 1,for n ≥ 2,where |△i|m=((2i-2)!)/((i-1)|i|){(4i-2)α(i+1,m-i)+α(i,m-i)-iα(i,m-i+1)+(i+1)β(i,m-i)},m>i,Meanwhile, the combinatorial identity (Ⅱ)(3·2n(2m-1)/(m+2)+4m-1-m2)((2m-2)!)/((m-1)!(m+1)!)+∑i=2m-1|△i|m=((2m)!)/(m!(m+1)!) is also found. In what mentioned above, α(s, t,) and β(s, t) are expressed by the following finite sums with all the terms positive: α(s,t)=∑j=0t-1((2t)!(2t+s-j-1)!)/(t(t-j-1)|j|(2t-j)|(t+s)|);β(s,t)=∑j=0t-1((2t+1)!(2t+s-j))/(|t(t-j-1)|j|(2t-j+1)|(t+s+1)!). Related Articles | Metrics

Select

SCHAUDER BASIS DETERMINING PROPERTIES Na Qiyuan Acta mathematica scientia,Series B. 1992, 12 (1):  89-97.  Abstract ( 48 )   RICH HTML PDF (611KB) ( 30 )   Save In this paper we introduce a new concept, called the Schauder basis determining property, which is strictly stronger than the concept of a countably determining property. This concept provides a new way to study the structure of Banach spaces, especially, the goometrical properties of Banach spaces. We show that many structural properties of Banach spaces are Schauder basis determining properties. These include the Banach-Saks property, the Asplund property, full convexity, the Kadec-Klee property, refiexity, some-what refiexity, property (A)-(E), the Schur property, and the Krein-Milman property. We also give a counterexample to show that the approximation property is not a Schauder basis determining property, but it is a countably determining property. Related Articles | Metrics

Select

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR HIGHER ORDINARY DIFFERENTIAL EQUATION Lin Zongchi, Lin Surong Acta mathematica scientia,Series B. 1992, 12 (1):  98-112.  Abstract ( 43 )   RICH HTML PDF (870KB) ( 35 )   Save In this paper we study the singular perturbation of boundary value problems with perturbations both in the operator and in the interval ends. So as to prove the existence and uniqueness of solution of perturbed problem, to establish the asymptotic expression involving three parameters. Thus, the iterative equation of finding the asymptotic solution is derived and the estimation of the remainder term is given out. We extend results of[1]-[5]. Related Articles | Metrics