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26 June 1998, Volume 18 Issue 2 Previous Issue    Next Issue

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A Model of Distinguishable words Li Chuanxiang Acta mathematica scientia,Series A. 1998, 18 (2):  123-133.  Abstract ( 55 )   RICH HTML PDF (560KB) ( 91 )   Save In[2], we disenssed a reduction problem of sysmbol words. On the basis of reduction theorms, in this paper, we'll study reduction structures on a word's set and a model of dis-tinguishable words. Related Articles | Metrics

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All Admissible Estimators of the Function of Mean Matrix in Multivariate Linear Models Chen Jiaobao, Deng Qirong Acta mathematica scientia,Series A. 1998, 18 (2):  134-139.  Abstract ( 64 )   RICH HTML PDF (350KB) ( 23 )   Save For the multivariate normal model Yn×m~N(XΘ,∑⊗V),V ≥ 0 and ∑ ≥ 0 are known This paper has obtained the necessary and sufficient conditions for the linear estimator LY+D of SXΘ to be admissible in the class of all estimators under each of three definitions of admissibility. Related Articles | Metrics

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Adaptive Output-feedback Control of A Class of Uncertain Nonlinear Systems Chen Weitian, Shi Songjiao, Zhang Zhongjun Acta mathematica scientia,Series A. 1998, 18 (2):  140-148.  Abstract ( 58 )   RICH HTML PDF (525KB) ( 33 )   Save A new adaptive output-feedback controller is proposed for a class of linearly parameterized nonlinear systms with bounded disturbances. The controller can guarantee the global boundness of all closed-loop signals. The results we have obtained extend the existing results in the field of adaptive output-feedback nonlinear control from no disturbance cases to cases with bounded disturbances. The simulations are given to show the effect of the designed controller, Related Articles | Metrics

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An Asymptotic Theory of Nonlinearly Perturbed Wave Equations and Its Applications Lai shaoyong Acta mathematica scientia,Series A. 1998, 18 (2):  149-153.  Abstract ( 57 )   RICH HTML PDF (295KB) ( 136 )   Save In this paper an asymptotic theory is presented for initial value problems of a nonli nearly perturbed telegraph equation. An open problem in Van Horssen W. T. and Van Burgh A H. P.[1] is answered in a suitable sobolev space. Related Articles | Metrics

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The Graritational Field of the Celestial Bodies with Magnetic Charge Magnetic Moment and Mass Quadrupole Moment Fu Liya Acta mathematica scientia,Series A. 1998, 18 (2):  154-163.  Abstract ( 71 )   RICH HTML PDF (509KB) ( 69 )   Save The work in this paper is the continuation of the work[3].we have in this paper derived the static gravitational field of the central celestial bodies with magnetic charge, magnetic monlent and mass quadrupole moment by means of perturbation. It may be useful for to reveal the gravitational properties of the celestial bodies of this kind. Related Articles | Metrics

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The Solution of Nonlinear Non-monotone Operator Equation Zhang Kemei Acta mathematica scientia,Series A. 1998, 18 (2):  164-168.  Abstract ( 43 )   RICH HTML PDF (314KB) ( 219 )   Save In this paper, we studied existence and uniqueness for the solution of nonlinear nonmonotone operator equation x=A(x,x), generalized and imprved many known results. Related Articles | Metrics

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Some new Results of two Dimensional Periodic Lotka-Volterra Systems Teng Zhidong Acta mathematica scientia,Series A. 1998, 18 (2):  169-175.  Abstract ( 59 )   RICH HTML PDF (400KB) ( 20 )   Save In this paper, we study the boundedness and persistence of solutions and the existence and global stability of positive periodic solution for two dimensional periodic Lotka-Volterra predator-prey systems. Afterwards, we extend the obtained results to two dimensional periodic Lotka-Volterra predator-prey systems with prey supplement and two dimensional periodic Lotka-Volterra competition systems. A series of new cirteria are obtained. The main results in[1-3]are improved and extended. Related Articles | Metrics

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A Class of Perturbations for Laplacian Tong Yusun Acta mathematica scientia,Series A. 1998, 18 (2):  176-183.  Abstract ( 66 )   RICH HTML PDF (424KB) ( 26 )   Save A class of perturbations for Laplacian in weighted L2 space is discussed. The domain of its Friedrich extension is given. It is proved that there isn't any positive eigenvalue of these operators under some conditions. Related Articles | Metrics

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Isometric Approximation from 2-dim Banach Space into L1 (Ω, μ) Zhan Dapeng Acta mathematica scientia,Series A. 1998, 18 (2):  184-191.  Abstract ( 56 )   RICH HTML PDF (431KB) ( 14 )   Save In this paped, it is proved that the isometric approximation problem for B (E2,L1 (△,v)) is proper,where E2 denotes a 2-dim Banach space and (Ω,μ) is nonatomic measurable space. Related Articles | Metrics

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On an Inequality and its Applications Hu Ke Acta mathematica scientia,Series A. 1998, 18 (2):  192-199.  Abstract ( 66 )   RICH HTML PDF (385KB) ( 196 )   Save This paper givescis a new property of a fundamental inequaulity which has been proved in[1], (ii) some its applications. Related Articles | Metrics

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Exponential dichotomy and invariant manifold Xia Hongqiang Acta mathematica scientia,Series A. 1998, 18 (2):  200-205.  Abstract ( 62 )   RICH HTML PDF (324KB) ( 101 )   Save In this paper,the author proved that the nonlinear differential equation system exists stable and unstable manifolds if their associated homogenous equations satisfies exponential dichotomy and nonlinear part satisfies certain conditions; then he gave an applications on perturbed Hill equation. Related Articles | Metrics

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The Singular Perturbation Solutions for Nonlinear Buckling of a Truncated thin Shallow Shell of Variable Thickness with the Large Geometrical Parameter Kang Shengliang Acta mathematica scientia,Series A. 1998, 18 (2):  206-216.  Abstract ( 69 )   RICH HTML PDF (509KB) ( 173 )   Save Using Modified method of mutiple scales,the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under uniformly distributed loads is investigated in this paper. When the geometrical parameter k is large,the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated. Related Articles | Metrics

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Property (H) in Orlicz Function Space Wang Tingfu, Cui Yunan Acta mathematica scientia,Series A. 1998, 18 (2):  217-220.  Abstract ( 51 )   RICH HTML PDF (227KB) ( 88 )   Save In this paper, a criterion that Orlicz function space has property (H) is obtained. Related Articles | Metrics

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Approximation of Homogeneous Levy Processes by Compound Poisson Processes on Complete Separable Metric Groups Liu Yong, Gong Guanglu Acta mathematica scientia,Series A. 1998, 18 (2):  221-227.  Abstract ( 71 )   RICH HTML PDF (386KB) ( 19 )   Save Let G be a complete and separable group with a left invariant metric,and {X(t)} be a homogeneous Levy processes with values in G. By means of operator semigroups we prove:there is a sequence of compound Poisson processes with values in G that converges weakly to {X(t)}. Related Articles | Metrics

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A Method to Seek the Finite-Band Solution of Soliton Equation Zhou Ruguang Acta mathematica scientia,Series A. 1998, 18 (2):  228-234.  Abstract ( 48 )   RICH HTML PDF (302KB) ( 113 )   Save Based on the method of the nonlinearization of Lax pair, a method to seek the finite-band solution of solton equation is presented. We take KdV equation as an example. First through the nonlinearization of Lax pair, we decompose the KdV equation into two finite-dimensional integrable systems; then we give a common angle-action variables for these two Hamiltonian systems. Fanilly we obtain the finite-band solution of KdV equation. Related Articles | Metrics

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On R-W Polynomials and Existence of Inner Functions in the Classical Domains Liu Taishun, Zhang Wenjun Acta mathematica scientia,Series A. 1998, 18 (2):  235-240.  Abstract ( 52 )   RICH HTML PDF (333KB) ( 16 )   Save In this paper, the authors constructed the R-W type polynomials on four kinds of classical domains HⅠ(m,n),HⅡ(m,n),HⅢ(m,n), and HN(n), from which they proved the existence of inner functions on these domains. Related Articles | Metrics