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31 December 1998, Volume 18 Issue S1 Previous Issue    Next Issue

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A NOTE ON THE RIEMANN PROBLEM TO HYPERBOLIC CONSERVATION LAWS Zhu Changjiang, Xu Xuewen Acta mathematica scientia,Series B. 1998, 18 (S1):  1-4.  Abstract ( 48 )   RICH HTML PDF (229KB) ( 33 )   Save This paper is a extension of[1],[3]. By the method in[1], the authors prove the global existence of the solutions of the Riemann problem for a class of 2×2 nonstrictly hyperbolic conservation laws. Related Articles | Metrics

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DOMAIN DECOMPOSITION ALGORITHM FOR TWO PHASE DISPLACEMENT PROBLEM IN POROUS MEDIA Rui Bongxing Acta mathematica scientia,Series B. 1998, 18 (S1):  5-15.  Abstract ( 40 )   RICH HTML PDF (646KB) ( 33 )   Save This paper considers the uumerical method and error analyses for two phase incompresaible miscible displacement in porous media.A time-stepping procedure is introduced using Sckwarz domain decomposition algorithm with eded element for the pressure equation and with finite dement for concentration equation. The author has analysed the relationship between convergence rates and discretization parameters,optimal order error estimates are derived under certain constraintes about the discretisation parameters.It is shown that the constraintes can be satisfied by the natural choices of these parameters. Related Articles | Metrics

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ALL ADMISSIBLE LINEAR ESTIMATORS UNDER MATRIX LOSS IN MULTIVARIATE MODEL Deng Qirong, Chen Jianbao, Chen Xizhen Acta mathematica scientia,Series B. 1998, 18 (S1):  16-24.  Abstract ( 48 )   RICH HTML PDF (535KB) ( 31 )   Save Under maids loss, tall paper dicusses the admissibility of homgeneous or nonhomgeneous linear estimators of regresaion coefficient of multivarate linear model in some common classes of estimators, the necessary and sufficient conditions are obtained.The results indicate that the admissibility of linear estimetors in multiate linear model is different from the admiedbility of linear estimators in Gauss-Markoff model. Related Articles | Metrics

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ASYMPTOTIC BEHAVIOR OF NON-AUTONOMOUS DISSIPATIVE SYSTEMS IN HILBERT SPACES Li Gang, Jong Kyu Kim Acta mathematica scientia,Series B. 1998, 18 (S1):  25-30.  Abstract ( 46 )   RICH HTML PDF (373KB) ( 30 )   Save This paper dwells upon the asymptotic behavior, as t→∞, of the integral solution u(t) to the nonhaear evolution equation u'(t) ∈A(t)u(t) + g(t),t ≥ s,u(s)=x0∈D(A(a)),where {A(t)}t ≥ s is a family m-disipative operator in a Hlilbert space H,and g∈Lloc(0,∞;H). We prove that σ(t,h)=1/t-x∫xtu(θ+h)dθ converges weakly, as t→∞, uniforluly in h ≥ 0, which applies that u(t) is weak convergence if and only if u(t) is weakly asymptotically regular i.e., u(t + h) -u(t) →0 for h ≥ 0. Related Articles | Metrics

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ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS Jiang Daqing Acta mathematica scientia,Series B. 1998, 18 (S1):  31-35.  Abstract ( 39 )   RICH HTML PDF (286KB) ( 31 )   Save The existence of positive solutions to second-order periodic BVPs-u"+Mu=f(t, u),u(0)=u(2π),u'(0)=u"(2π) and u"+ Mu=f(t, u), u(0)=u(2π), u'(0)=u'(2π)is proved by a simple appliCation of a Fixed point Theorem in cones due to Krasnoselskii. Related Articles | Metrics

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DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING n-SET FUNCTIONS Chen Shiguo, Liu Jianxue Acta mathematica scientia,Series B. 1998, 18 (S1):  36-42.  Abstract ( 50 )   RICH HTML PDF (378KB) ( 31 )   Save In this paper, two duality results are established under generalized ρ-convexity conditions for a class of multiobjective fractional programmign involvign differentiable n-sen functions. Related Articles | Metrics

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THE HILBERT BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTION OF SEVERAL COMPLEX VARIABLES WITH DISCONTINUOUS COEFFICIENTS Qiao Yuyiny Acta mathematica scientia,Series B. 1998, 18 (S1):  43-50.  Abstract ( 59 )   RICH HTML PDF (426KB) ( 30 )   Save This paper deals with the Hilbert boundary value problem for analytic function of several complex variables with discoutiuuous codsdents on polycylinder ring. The author gives the corresponding metamorphous problem and gets the condition of solvability and an intergral representation of the solution. Related Articles | Metrics

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A GENERALIZED GIRSANOV THEOREM AND ITS APPLICATION Liu Jinfu Acta mathematica scientia,Series B. 1998, 18 (S1):  51-57.  Abstract ( 36 )   RICH HTML PDF (406KB) ( 32 )   Save The purpose of tall Paper is to geueralize the Girsanov theorem to the case of a local martingale. The author uses the generalized Girsanov theorem to prove the existence ed uniqueness of diffusion processes with sigular drift terms.This result is much more general than the corresponding results in[4] and[8]. Related Articles | Metrics

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ADMISSIBLE WAVELETS ON THE PRODUCT HEISENBERG GROUP Hn He Jianxun, Peng Lizhong Acta mathematica scientia,Series B. 1998, 18 (S1):  58-67.  Abstract ( 61 )   RICH HTML PDF (562KB) ( 32 )   Save Let Hn be the n-direct proded of Heisenbery group H, P the affine group of n. Then P ho a natural unitary representation U on L2(Hn). In this paper,the direct sum decomposition of irreducible invariant closed subspaces under unitary representation U for L2(Hn) is given. The restrictins of U on these subspaces are square-integrable. The charactedsation of admissible condition is obtained in ierms of the Fourier transform. By seleting appropriately an orthogonal wavelet basis and the wavelet transform,the authors obtain the orthogonal direct chin decomposinon of function space L2(P,dμ1). Related Articles | Metrics

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SEMIPARAMETRIC REGRESSION MODELS WITH LOCALLY GENERALIZED GAUSSIAN ERROR'S STRUCTURE Hu Shuhe Acta mathematica scientia,Series B. 1998, 18 (S1):  68-77.  Abstract ( 53 )   RICH HTML PDF (537KB) ( 29 )   Save This paper proposes parametric component and nonparametric component estimators in a semiparametric regression models based on least squares and weight function's method, their strong consistency and rib mean consistency are obtained under a locally generallied Gaussinan error's structure. Finally, the author showes that the usual weight functions based on nearest neighbor method satisfy the deigned assumptions imposed. Related Articles | Metrics

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THE NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS Chen Songliu, Mo Jiaqi Acta mathematica scientia,Series B. 1998, 18 (S1):  78-82.  Abstract ( 57 )   RICH HTML PDF (288KB) ( 29 )   Save The nonlocal problems for the singularly perturbed reaction diffusion system are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems are studied. Related Articles | Metrics

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IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES Qiu Jianhui, Zhang Jianping Acta mathematica scientia,Series B. 1998, 18 (S1):  83-87.  Abstract ( 63 )   RICH HTML PDF (366KB) ( 28 )   Save An (LF)-space (E, t)=md(En, tn) satisfying Retakh's condition (M0) needn't be regular[7]. D. Vogt[7] proved that if every step (En, tn) is reflealve then it is regular.By using the fort that the biduals of Frechet spaces are weakdy sequentially complete.the authors give some weaker conditions for (LF)-spaces satisfying condition (M0) to be regular, which improve the ah ore Vogt's result. Related Articles | Metrics

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A NOTE ON GENERALIZED MORAN SET Li Wenxia, Xiao Dongmei Acta mathematica scientia,Series B. 1998, 18 (S1):  88-93.  Abstract ( 45 )   RICH HTML PDF (346KB) ( 38 )   Save Let E be a generallied Moran set. The authors determine the dimB E and get the sufficient and necessary condition for E being a s-set. Related Articles | Metrics

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APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT Tian Lixin, Xu Zheuyuau, Lu Diauchen Acta mathematica scientia,Series B. 1998, 18 (S1):  94-104.  Abstract ( 60 )   RICH HTML PDF (649KB) ( 30 )   Save This paper sets up the approximate inertias manifold(AIM) in the nouselfadjoint nonlinear evolutionary equation and Ands AIMs which are explitly dafined in the weally damped forced KdV equation (WDF KdV). Related Articles | Metrics

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MELNIKOV VECTOR AND HOMOCLINIC BIFURCATIONS IN A DEGENERATE CASE Zeng weiyao, Zhou Yubo, Zhang Weiguo Acta mathematica scientia,Series B. 1998, 18 (S1):  105-113.  Abstract ( 42 )   RICH HTML PDF (481KB) ( 34 )   Save The main purpose of this paper is to study homocliaic bifurcation in a degenerate case of differential equations of form x=f(x, ε) and x=g(x) + h(t, x. ε). By using theory of exponential dichotomies and Liapunov-Schmidt method, the authors obtain the Melnikov-like vectors by which the existence of homoclinic orbits can be detected. Related Articles | Metrics

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THE EXISTENCE OF SOLUTIONS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES You Baoqiang, Shi Guoliang Acta mathematica scientia,Series B. 1998, 18 (S1):  114-119.  Abstract ( 57 )   RICH HTML PDF (315KB) ( 40 )   Save This paper improves Tychonov fixed point theorem and discusses the existence of solutions of nonlinear Fredholm integral equations on[0,+∞] in Banach spaces with Frechet space theory. Related Articles | Metrics

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SOME REMARKS ON CCR AND WEYL OPERATORS Luo Shunlong Acta mathematica scientia,Series B. 1998, 18 (S1):  120-123.  Abstract ( 55 )   RICH HTML PDF (235KB) ( 33 )   Save Using the symbol calculus developed by Berezin, Krée and Rączka, it is shown that the algebra generated by the canonical commutation relation (CCR) is splitted into creation part and annhilation part with holomorphic and anti-bolomorphic symbols respectively. Further. in the Weyl representation of CCR, three Weyl operators will constitute an irreducible set of the fall CCR-algebra if some number theoretic conditions are satisfied. Related Articles | Metrics

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POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS Ma Ruyun, Zhang Fengrun Acta mathematica scientia,Series B. 1998, 18 (S1):  124-128.  Abstract ( 60 )   RICH HTML PDF (276KB) ( 34 )   Save Under suitable conditions on h(x)and f(u)|the authors show that the following boundary value problem (d4y)/dx4-h(x)f(y(x))=0, y(0)=y(1)=y"(0)=y"(1)=0 has at least one positive solution.Moreover|the authors also establish several existence theorems of multiple positive solutions Related Articles | Metrics