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Acta Mathematicae Applicatae Sinica 1997 Vol.20

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THE APPROXIMAION PROPERTIES FOR MULTIDIMENSIONAL BERNSTEIN-SIKKEMA OPERATORS
LI SONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997010
Abstract （2290）      PDF（pc） （254KB）（244）       Save
In this paper, we study the convergence of derivatives for Bernstein-Sikkemaoperators on a simplex. Sometime, we also give its asymptote expansion. At last, relationsbetween ||Cnf - f|| and En(f) will be given by weak inequalities. Where Cn(f) i
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SINGULAR PERTURBATION FOR THE SEMILINEAR ELLIPTIC INTEGRAL DIFFERENTIAL EQUAIONS OF FOURTH ORDER
HUANG WEIZHANG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997011
Abstract （1484）      PDF（pc） （254KB）（32）       Save
In this paper, the singularly perturbed problems for elliptic integral differentialequations of fourth order is considered. The comparison theorem is proved and the uniformlyvalid asymptotic expansion of the solution is obtained.
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利用有限仿射几何的m-面构作多个结合类的结合方案和PBIB设计
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997012
Abstract （533）      PDF（pc） （254KB）（27）       Save
利用有限几何的子空间构作结合方案和PBIB设计，到目前已有很多成果，本文将把这些成果推广到有限仿射几何的
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圆柱空间中长方体群布局优化的模型、函数凸性及算法
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997013
Abstract （622）      PDF（pc） （254KB）（23）       Save
1引言50年代以来，几何布局问题的研究越来越引起人们的重视．随着电子计算机的大量应用，使得几何布局的研
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THE IMPROVEMENT OF DISC-THEOREM AND WEAK DOUBLE DIAGONALLY DOMINANT MATRICES
WANG CHUANLONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997014
Abstract （2276）      PDF（pc） （254KB）（232）       Save
In this paper, we improve the disc theorem, and give the new estimation ofeigenvalues so that weak double diagonally dominant matrix is introduced. We discuss itsbasic properties and intensively analysis its inverse and splitting characterizatio
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DIFFERENTIABILITY AND DIMENSION OF A CLASS OF FRACTAL SURACE
WANG GUOZHONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997015
Abstract （2383）      PDF（pc） （254KB）（262）       Save
In this papert, the author constructs a class of iterated function system consistingof Non-linear-affine maps and studies the fractal surface generated by the constructed. Thenwe obtain its Box dimension, Packing dimension and lower bound of Hau
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SOME STUDIES FOR THE PROBLEMS ON MULTIPLE SOLUTIONS OF MAPPING EQUATIONS
YANG SHULANG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997016
Abstract （2314）      PDF（pc） （254KB）（323）       Save
In this paper, under some techniques and transformations, the problems onmultiple solutions for the mapping equation in B space are studied, and the fP-homotopymethod in a sense is used. And an application of the theory results obtained in this
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THE SPECTRUM OF THE GENERATOR OF A CLASS OF PERTURBED SEMIGROUPS WITH APPLICATIONS
PENG JiGEN; WANG MIANSEN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997017
Abstract （2185）      PDF（pc） （254KB）（164）       Save
This paper studies the spectrum of the perturbed generator A = B + K in{λ: S(B) < Reλ A < S(B) + ||K|| }, the main purpose is to find the conditions such that Ahas only isolated eigenvaue with finite dimensional generalized eigenspace and the
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NEW SUFFICIENT CONDITION FOR THE STABILITY OF SLOWLY VARYING LINEAR SYSTEMS WITH TIME-DELAY
RONG HAIWU; ZHANG DECHANG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997024
Abstract （2336）      PDF（pc） （254KB）（209）       Save
In this paper, we use the "frozen time" approach to state some new sufficientconditions for the stability of linear time-varying systems with time-delay We establish anupper bound on the norm of time derivative of system matrix and the time-dela
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THE STRUCTURE OF SNELL'S ENVELOPE FOR CONTINUOUS TWO INDEX RAPIDLY DECREASING PROCESSES
LUO JIANSHU; JIN ZHIMING
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997025
Abstract （2658）      PDF（pc） （254KB）（302）       Save
In this paper, the structure of Snell's envelope for continuous two index rapidlydecreasing processes is discussed. Set γ'z = esssup E(Xo | Fz), where Σ is all (Fx), z ε R2+finite stopping points. First, it is showed that г'= (γ'z,Fz,zε R
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AN EXPLICIT FORMULA OF SOLUTION FOR A KIND OF THE HOMOGENEOUS RECURRENCE RELATION OF CONSTANT COEFFICIENTS WITH TWO INDICES
YU CHANGAN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997026
Abstract （2306）      PDF（pc） （254KB）（256）       Save
In this paper,we generalize the result in [1] and obtain the explicit formula ofsolution for a kind of the homogeneous recurrence relation of constant coefficients with twoindices. This result is meaningful both in theory and practice.
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THE TRACE-REPRESENTION OF SEQUENCES AND THE SPACE OF NONLINEAR FILTERED SEQUENCES OVER Z/(p~d)
QI WENFENG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997027
Abstract （2267）      PDF（pc） （254KB）（258）       Save
In this paper, we give the trace-representation of linear recurring sequencesover the ring Z/(pd) by using the theory of p-adic number field. And the space G(f(x))mof nonlinear filtered sequencs is described by applying the trace-representation.
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THE RANGE OF RANDOM WALK ON TREES AND RELATED TRAPPING PROBLEM
CHEN MUFA; YAN SHIJIAN; ZHOU XIANYIN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997028
Abstract （2235）      PDF（pc） （254KB）（245）       Save
This paper treats of the range of the simple random walk on trees and a related trapping problem. The strong law of large numbers and the central limit theorem for the range, and some asymptotic behaviour for the mean trapping time and survival p
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THE EXPECTED VALUES OF INVARIANT POLYNOMIALS WITH MATRIX ARGUMENT OF ELLIPTICAL DISTRIBUTIONS
LI RUNZE
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997018
Abstract （2249）      PDF（pc） （254KB）（262）       Save
Invariant polynomials with matrix arguments have been defined by the theory of group representation, generalizing the zonal polynomials. They have developed as a useful tool to evaluate certain integrals arising in multivariate distribution theor
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APPROXIMATION TO THE EXPECTATION OF A FUNCTION OF ORDER STATISTICS AND ITS APPLICATIONS
CHENG SHIHONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997019
Abstract （2362）      PDF（pc） （254KB）（279）       Save
Let {Un. n≥1 } be a sequence of i.i.d. random variables uniformly distributed on the interval (0,1 ). For each n≥1, denote the order statistics of U1…,Un by Un, 1≤…≤Un,n. Under very general conditions on the ranks kn.1.….m, we give an appr
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ASYMPTOTIC BEHAVIOR OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
XU DAOYI
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997020
Abstract （2074）      PDF（pc） （254KB）（42）       Save
ThisworkissupportedinpartbytheFoundationoftheSichuanEducationCommissionandtheNationalNaturalScienceF
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PERMANENCE IN PERIODIC KOLMOGOROV COMPETITION MODELS WITH DIFFUSION AND NONPERIODIC FEEDBACK CONTROL
LIN YUANQU
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997021
Abstract （1070）      PDF（pc） （254KB）（31）       Save
ThisworkissupportedbytheNationalNaturalScienceFoundationofChina.1.IntroductionConsiderthetwo-species
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GLOBAL EXISTENCE AND DECAY ESTIMATES FOR SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS
GU YONGGENG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997022
Abstract （1183）      PDF（pc） （254KB）（26）       Save
In this paper, we will show the existence and certain decay estimate of the global solutions for the initial-boundary value problemin the smooth bounded domain Ω＝Rn. n≥2.
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ON THE COMPLETE CHROMATIC NUMBER OF HALIN GRAPHS
ZHANG ZHONGFU; LIU LINZHONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997023
Abstract （1290）      PDF（pc） （254KB）（32）       Save
Let G be a planar graph with δ(G)≥3, fo be a face of G. In this paper it is proved that for any Halin graph with △(G)≥6, X (G)＝△(G)+1, where △(G), Xo (G) denote the maximum degree and the complete chromatic number of G, respectively.
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QUENCHING PHENOMENA FOR SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS Ⅱ
DAI QIUYI
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997029
Abstract （1271）      PDF（pc） （254KB）（21）       Save
In this paper, we investigate the initial-boundary value problem for systems of semilinear parabolic equations in N-dimensions with singular term. The existence of quenching phenomenon is proved. Upper bounds for critical parameter ε* and quenc
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THE ISOMORPHISM THEOREM OF DISTRIBUTED LOOP NETWORKS
HU TAIPEI
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997030
Abstract （1394）      PDF（pc） （254KB）（32）       Save
In the paper We continue to study distributed loop networks which were dis-cussed in [1, 2]. We established an isomorphism theorem for N order double loop networksand proved that for isomorphic double loop networks they have equal diameter. Thus
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P-SYSTEMS WITH RELAXATION
LI CAIZHONG
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997031
Abstract （1122）      PDF（pc） （254KB）（28）       Save
In this paper, we discuss the P-systems with relaxation, and prove that therelaxation is provided with-dissipative effect in the sensen of preserving smoothness of 'smallsolutions'.
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THE CONNECTEDNESS OF SOLUTION SETS FOR A QUASICONVEX OPTIMIZATION IN INFINITE DIMENSIONAL SPACES
FU WANTAO
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997032
Abstract （1151）      PDF（pc） （254KB）（26）       Save
One of the key questions of multiobjective optimization theory is to investigatethe connectedness of solution sets. In this paper, the concept of quasiconvex, stronglyquasiconvex and strictly quasiconvex mappings are introduced. Under the condit
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方差具有有限个极大点的高斯过程之极值逗留
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997033
Abstract （505）      PDF（pc） （254KB）（22）       Save
1引言S．M．Berman开创了随机过程的极值逗留理论，发表了一系列论文．近年来他研究了方差函数具有唯一极大
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THE STATISTICAL MODEL OF THE TRACKING RADAR MEASURING ERROR SERIES(Ⅰ):BUILDING MODEL
QI QUANYUE
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997003
Abstract （1391）      PDF（pc） （254KB）（32）       Save
In this paper, the statistical model describing measuring error series of trackingradar is built. By analysising test data of tracking radar accuracy recorded, we present thelinear regression- autoregression mixing mo del with slowly varying var
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ON THE MIXED BOUNDARY VALUE PROBLEMS IN AN INFINITE ELASTIC PLANE WITH PERIODIC HOLES OR CRACKS
ZHENG KE
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997004
Abstract （1268）      PDF（pc） （254KB）（20）       Save
The mixed boundary value problems in an infinite elastic plane with periodicholes or cracks are discussed by complex variable method. The precise formulation of themixed problems are given. The problems are reduced to some fredholm integral equa
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THE CONDITIONS OF EXISTENCE AND THE NUMBER FOR THE CLOSED SOLUTIONS OF THE EQUATION ■
LI JINMING; CAI SUILIN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997005
Abstract （1460）      PDF（pc） （254KB）（29）       Save
In this paper, we obtain the sufficient conditions for the equationhaving exactly one closed solution, three closed solutions and at most two closed solutionsrespectively where ai(t) (i = 0, 1,''', n - 1) is continuous on [O,1]. The stability of
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一类半线性抛物型方程组解的blow-up
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997006
Abstract （439）      PDF（pc） （254KB）（26）       Save
设是En中的有界域，边界充分光滑，满足内切域条件，n是的单位外法向．研究半线性抛物型方程组的初边值问题
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GENERALIZED BOCHNER THEOREM ON LOCALLY CONVEX SPACES
WU JIANGLUN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997001
Abstract （1268）      PDF（pc） （254KB）（21）       Save
The purpose of this paper is to generalize the (classical) Bochner theorem to the case where Radon probability measures are defined on the weak dual spaces of locally convex spaces. We also compare our result with other topological descriptions o
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ON INTERPOLATION OF A CERTAIN CLASS OF FUNCTIONS
ZHU YAOCHEN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997002
Abstract （1190）      PDF（pc） （254KB）（32）       Save
In the present paper the approximate fuctions for certain multivariate periodic functions with bounded mired derivatives are constructed by making use of their values at the knots of number-theoretical nets.
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ON AN INVERSE INITIAL-BOUNDARY VALUE PROBLEM FOR A ONE-DIMENSIONAL HYPERBOLIC SYSTEM OF DIFFERENTIAL EQUATIONS
DOU XUELI
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997007
Abstract （1409）      PDF（pc） （254KB）（36）       Save
In this paper, the inverse boundary value problem of the hyperbolic system of first-order deferential equations is discussed. The estimate of the solution and the quantitative analysis about its stability are obtained, and some stability criteria
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A HIGH ORDER METHOD FOR NON-SMOOTH FREDHOLM EQUATIONS
SHI JUN
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997008
Abstract （1227）      PDF（pc） （254KB）（20）       Save
In this paper, we deal with a class of the second kind of non-smooth Fredholm integral equations, which are related closely to Wiener-Hopf equations. Using Sloan’s iterative technique, we obtain the superconvergent approximations. By means of th
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DECAY OF GLOBAL SOLUTIONS OF TWO NONLINEAR EVOLUTION EQUATIONS
GUO BOLING; ZHANG LINGHAI
Acta Mathematicae Applicatae Sinica    1997, 20 (1): 0-0.   DOI: 10.12387/C1997009
Abstract （1262）      PDF（pc） （254KB）（31）       Save
We study the decay of solutions of two nonlinear evolution equations: the Benjamin-OnoBurgers and the Schrodinger-Burgers equations. We establish sharp rates of L2 decay of global solutions to these problems, with initial data Uo(x)∈L1∩L2. The
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EXISTENCE FOR VISCOSITY SOLUTIONS OF NONLINEAR DEGENERATE ELLIPTIC EQUATIONS IN RN
XIANG YANG
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997064
Abstract （1377）      PDF（pc） （254KB）（31）       Save
This paper is concerned with the existence for nonnegative viscosity solutions of the nonlinear degenerate elliptic equation F(Du, D2u) + us = f in RN, where s > 0, F satisfies some conditions about p (p > 2). We prove the existence when s > p -
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BLOW-UP OF SOLUTIONS OF INITIAL VALUE PROBLEM FOR EQUATION OF NERVE CONDUCTION TYPE
LIU YACHENG
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997065
Abstract （1279）      PDF（pc） （254KB）（19）       Save
Based on [1] in this paper we further study the global nonexistence and blow-up of solutions of the initial value problem for the equation of nerve conduction type utt - △ut = f(u)ut + g(u). By introducing a normal Gaussian as an "eigenfunction
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ALMOST SURE CONVERGENCE OF THE STABLE TAIL EMPIRICAL DEPENDENCE FUNCTION IN MULTIVARIATE EXTREME STATISTICS
QI YONGCHENG
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997060
Abstract （2044）      PDF（pc） （254KB）（188）       Save
In this paper we prove the almost sure convergence of the stable tail empirical dependence function for multivariate extreme values.
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VISCOSITY SOLUTION THEORY OF A CLASS OF NONLINEAR DEGENERATE PARABOLIC EQUATIONS Ⅰ. UNIQUENESS AND EXISTENCE OF VISCOSITY SOLUTIONS
ZHAN YI
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997062
Abstract （1979）      PDF（pc） （254KB）（190）       Save
In this part we construct a unique bounded Holder continuous viscosity solution for the nonlinear PDEs with the evolution p-Laplacian equation and its anisotropic version as typical examples. The existence and properties of free boundaries will b
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THE STUDY OF THE FOURIER SERIES OF FUNCTIONS DEFINED ON MORAN FRACTALS
LIANG JINRONG; REN FUYAO
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997063
Abstract （2025）      PDF（pc） （254KB）（46）       Save
Let E be a Moran fractal and Hs(E) denote the s-dimensional Hausdorff measure of E. In this paper, we define a orthonormal and complete system. of functions in the Hilbert space L2(E,Hs) and prove that partial sums of the Fourier series,with resp
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SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION
XIAO SHUTIE
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997061
Abstract （1984）      PDF（pc） （254KB）（241）       Save
This paper is the continuation of [2]. Some typical behaviors of weak solutions of layered porous media equations with boundary conditions will be discussed in this paper. For example, asymptotically, the saturated regions can appear only either
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弹性长条的周期裂缝问题
Acta Mathematicae Applicatae Sinica    1997, 20 (2): 0-0.   DOI: 10.12387/C1997059
Abstract （418）      PDF（pc） （254KB）（21）       Save
无限长各向同性弹性长条的周期裂缝问题，有人曾作过讨论，但所用方法是错误的.他试图把问题分解为两个较简
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