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26 December 1998, Volume 18 Issue 4 Previous Issue    Next Issue

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Delta waves for elastic dynamic system Lei Yuanning Acta mathematica scientia,Series A. 1998, 18 (4):  361-370.  Abstract ( 63 )   RICH HTML PDF (571KB) ( 28 )   Save In this paper we discuss the propagation of delta waves for the semilinear elastodynamic system. Under the conditions of which the nonlinear iterms are globally bounded and Lipschitz continuious, we proved the exiztences of delta waves for the semilinear elastodynamic system. Related Articles | Metrics

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Time-Space Boundary Element Method for Transient Heat Conduction with Moving Boundary Tang Shaowu, Feng Zhenxing, Li Zhengxiu Acta mathematica scientia,Series A. 1998, 18 (4):  371-377.  Abstract ( 54 )   RICH HTML PDF (450KB) ( 118 )   Save In this paper,a new boundary ingegral equation scheme is presented for the solution of some two-dimensional phase change problems. Using weighted residual technique,a general formulation based on space-time Green's functions is developed. Then a descritized system is-constructed,featuring quadratic interpolation over space and linear interpolation over time. The time-dependent fundamental solution is introduced together with its time and boundary inge-gration treatment. Several typical numerical examples are included to demonstrate the accuracy and stability of the numerical BEM model. Related Articles | Metrics

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Zero Theorems of Maximal Monotone Operators with Compact Perturbations Zhou Haiyun Acta mathematica scientia,Series A. 1998, 18 (4):  378-383.  Abstract ( 59 )   RICH HTML PDF (357KB) ( 111 )   Save In this paper we study zero problems of maximal monotone operators with compact perturbations by applying the Leray-Schauder degree theory. We obtain some new zero theorems. Related Articles | Metrics

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The Bifurcation Analysis and Stability of Steady-State Solutions for the System with Cross-Diffusion Effects Fu Yiping, Zhou Li Acta mathematica scientia,Series A. 1998, 18 (4):  384-388.  Abstract ( 56 )   RICH HTML PDF (292KB) ( 73 )   Save In this paper a system with cross-diffusion effects is investigated. The existence of the nontrivial positive stationary solutions coming from the trivial solution is proved by the Lia-punov-Schmidt procedure. Moreover,a condition for the stability of the bifurcation solutions is obtained by spectral analysis. Related Articles | Metrics

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Melnikov vector function of second order Xia Hongqiang Acta mathematica scientia,Series A. 1998, 18 (4):  389-393.  Abstract ( 84 )   RICH HTML PDF (335KB) ( 24 )   Save In this paper,the author first defines Melnikov vector functions of high order,and gives the formulas of Melnikov vector function of first and second order. As an application, he obtain a condition of the existence of singular orbits. Related Articles | Metrics

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Strong Uniform Convergence Rates for Nonparametric Estimations of Conditional Functional and its Derivatives Zhu Zhongyi, Wei Bocheng Acta mathematica scientia,Series A. 1998, 18 (4):  394-401.  Abstract ( 49 )   RICH HTML PDF (483KB) ( 107 )   Save In this paper, the nonparameteric estimations of conditional functional and its derivatives are studied. Strong uniform convergence rates are proved to be optimal for kernel type estimator and weighted estimator of conditional functional in the random design and the fixed design,under certain conditions. Various previous results in the literature (for example Härdle etal. (1988).Severini and Wong (1992) are extended and sharpened. Related Articles | Metrics

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Necessary and Sufficient Conditions for Existence of Positive Periodic Solutions of Periodic Predator-Prey Systems Teng Zhidong, Chen Lansun Acta mathematica scientia,Series A. 1998, 18 (4):  402-406.  Abstract ( 63 )   RICH HTML PDF (327KB) ( 94 )   Save In this paper,the periodic Lotka-Volterra predator-prey systems are studied. Applying the method of bifurcation theory and differential inequality principle a necessary and sufficient criterion for existence of positive periodic solutions is established. Main results in[l-4] are summarized and extended. Related Articles | Metrics

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A Class of Gravitational Waves Equation in Gravitational Gauge Theory Qing Xin Acta mathematica scientia,Series A. 1998, 18 (4):  407-414.  Abstract ( 66 )   RICH HTML PDF (477KB) ( 24 )   Save A class of gravitational wave equation in the Vierbein representation of the local Lorentz group gravitational gauge theory are obtained. Finally,it is also proved that the equation contains the Bondi's plane wave equation and gravitational soliton equation, and the Bondi's plane wave (Sandwich waves)and gravitational soliton are some special solutions of the equation. Therefore, these solutions are in agreement with the quantum field theory. Related Articles | Metrics

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An Sxistence Theorem for Periodic Solutions of Nonliear Ordinary Differential Equations Yang Xiaojing Acta mathematica scientia,Series A. 1998, 18 (4):  415-418.  Abstract ( 64 )   RICH HTML PDF (236KB) ( 77 )   Save In this paper,by using Mkanda's theorem,an existence theorem for periodic solutions of nonlinear ordinary differential equations ẋ=f(x,t) is proved. Related Articles | Metrics

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Convergence of Bi-random Dirichlet Serties Tian Fanji Acta mathematica scientia,Series A. 1998, 18 (4):  419-428.  Abstract ( 52 )   RICH HTML PDF (527KB) ( 208 )   Save Consider the convergence of bi-random Dirchlet series ∑n=l∞an(ω)e-λn(ω)s, wherean an(ω) and λn(ω) are random variables, we study the limit properties of ∑i=lnan(ω) and λn(ω) by thestrong law of large numbers and the central limits theorems. Some simple and explict formulae of the absciasssa of convergence σc attained under one of following conditions:(i) 0 < limn→∞|(∑i=lnEai)/n| ≤ limn→∞|(∑i=lnEai)/n| < ∞; (ii) {an} is a sequence of real or complex independent andequally distributed random variables with finite variances D(an); (iii) {an} is a sequence of independent random with expectation Ean=0 and other suitable conditions. Related Articles | Metrics

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Maximal Homomorphic Images of MS-Algebras Lou Congwen, Pei Liwen Acta mathematica scientia,Series A. 1998, 18 (4):  429-432.  Abstract ( 60 )   RICH HTML PDF (297KB) ( 135 )   Save We determine, for the particular subvarieties M,B,S of MS, the least congruences θM,θB,θS for which the quotient algebras belong to M, B, S respectively, then by means of Priestley's duality for MS-algebras we describe the topological representations of the duals of the maximal homomorphic images of MS-algebras. Related Articles | Metrics

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Critical Behavior at the Surface of a Semi-infinite Spin-1 Ising Model with Surface Random Field Gao Zhan, Xu Jianhong Acta mathematica scientia,Series A. 1998, 18 (4):  433-437.  Abstract ( 60 )   RICH HTML PDF (325KB) ( 71 )   Save In this paper, a renormalization group scheme within the framework of the mean field theory is used to investigate the critical behavior at the surface of a semi-infinite simple-cubic spin-1 Ising ferromagnet. The effects of a random field with trimodal distribution on the surface phase diagrams are obtained. Related Articles | Metrics

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Watson Transformation and Its Applicaton Ke Hengyu, Hou Taishan, Hou Jiechong Acta mathematica scientia,Series A. 1998, 18 (4):  438-443.  Abstract ( 63 )   RICH HTML PDF (397KB) ( 25 )   Save Watson Transformation and its application to high-frequency electromagnetic waves is investigated in this paper. Following grief description of the Watson transformation, some problems of using the transformation to high frequency electromagnetic waves are studied. The method of choosing integral contour,a uniform amplitude and phase function of high frequency electromagnetic waves are obtained. Related Articles | Metrics

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AEP-like Limits and Some Strong Deviation Theorems for N-valued Random Variables Liu Wen, Chen Shuang Acta mathematica scientia,Series A. 1998, 18 (4):  444-450.  Abstract ( 71 )   RICH HTML PDF (380KB) ( 32 )   Save Let {Xn, n ≥ 1} be a sequence of random variables taking values in S={1,2,… N} with the joint distribution p(x1,…,xn). limn inf[p(X1,…,Xn]1/n and limn sup[p(x1,…,xn]1/n are called the AEP-like limits. In virtue of these limits, some strong deviation theorems, namely a class of strong limit theorems represented by inequalities are obtained. Related Articles | Metrics

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Integral criteria of Bloch type functions on radial derivative Zhuo Wenxin, Yang Weisheng Acta mathematica scientia,Series A. 1998, 18 (4):  451-458.  Abstract ( 83 )   RICH HTML PDF (460KB) ( 117 )   Save In this paper, we study radial derivatives of Bloch type functions. Several integral criteria of α -Bloch(little α -Bloch) on radial derivative are given. Related Articles | Metrics

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Some convergence Theorems for Iterative Sequence of Certain Nonlinear Operator in Banach Space Chai Guoqing Acta mathematica scientia,Series A. 1998, 18 (4):  459-466.  Abstract ( 55 )   RICH HTML PDF (516KB) ( 27 )   Save In this paper, by a new technique, the author study the problem for the Ishikawa iterative sequence in the general Banach space, and obtains some new results, removes the strict condign of the space being uniformly smooth as usual, in addition, removes or weakens the other some condition, and so improves a series of corresponding theorems in recent pa-pers [1-7]. Related Articles | Metrics

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A Numerical Method of Shallow Water Equations Cai Qifu, Gao Xiling Acta mathematica scientia,Series A. 1998, 18 (4):  467-471.  Abstract ( 81 )   RICH HTML PDF (296KB) ( 61 )   Save A Second-order accurate TVD scheme for shallow water equations is presented. A simple TVD Runge-Kutta type time discretization and a symmetric space discretization based on the slope limiter is used. The mumerical dissipation term is constructed based on the local prism river flows. The main advantage of the scheme stems from the ability to compute the weak solutions of unsteady free-surface flows in the natural river courses and the simplicity. Constant still water solution in the natural river courses of the uneven bottom channel can be exactly compted. Verification of the scheme for the dam-break problem in the channel is made by comparison with analytical solution and good agreement is found. Numerical experiments with the dam-break problem in the practical natural cascade reservoirs show the scheme is stable and robust. Related Articles | Metrics

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Quadrature Formulae for Singular Integrals with Hilbert Kernel Jin Guoxiang Acta mathematica scientia,Series A. 1998, 18 (4):  472-478.  Abstract ( 68 )   RICH HTML PDF (219KB) ( 38 )   Save Quadrature formulas for singular integrals with Hilbert kernel in multiple nodes are established by the method of seperation of singularities and the remainder of each quadrature formula is given in terms of contour integral. Related Articles | Metrics