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25 June 1991, Volume 11 Issue 2 Previous Issue    Next Issue

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A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH NATURAL GROWTH CONDITION Shen Yaotian, Guo Xinkang Acta mathematica scientia,Series B. 1991, 11 (2):  121-127.  Abstract ( 51 )   RICH HTML PDF (433KB) ( 31 )   Save Related Articles | Metrics

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INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT Chen Wenxiong Acta mathematica scientia,Series B. 1991, 11 (2):  128-135.  Abstract ( 39 )   RICH HTML PDF (459KB) ( 28 )   Save In this paper, it is proved that the following boundary value problem -△u-λu=|u|τ-1u x∈Ω u=0 x∈∂Ω admits infinitely many solution for 0 < λ < λ1, n ≥ 5 and for ball regions Ω=BR(0). Related Articles | Metrics

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ON DECENTRALIZED OBSERVATION AND DECENTRALIZED CONTROL OF LARGE SCALE SYSTEMS Yu Runyi, Gao Weibing Acta mathematica scientia,Series B. 1991, 11 (2):  136-141.  Abstract ( 58 )   RICH HTML PDF (356KB) ( 33 )   Save In this paper, the problem of decentralized observation and decentralized control of linear, time-invariant large scale systems is studied. Based on conventional observer theory, the necessary and sufficient conditions for existence of completely decentralized observer are obtained. Moreover, the necessary and sufficient condition is given for stabilization of large scale systems by local output with state of the subsystem estimated through the completely decentralized observer. Related Articles | Metrics

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THE ANALYSIS OF HOPF BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY Zhou Li, Song Kaitai Acta mathematica scientia,Series B. 1991, 11 (2):  142-163.  Abstract ( 49 )   RICH HTML PDF (1124KB) ( 31 )   Save In this paper the influence of diffusion for stability of the prey-predator system with delay is studied. We analysed the conditions which raise the Hopf bifurcation. The problem is reduced by centralmanifold, and the approximation form of the stability periodic is obtained. Related Articles | Metrics

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FINITE SPEED OF PROPAGATION OF SOLUTIONS FOR SOME QUASILINEAR HIGHER ORDER PARABOLIC EQUATIONS WITH DOUBLY STRONG DEGENERATION Yin Jingxue Acta mathematica scientia,Series B. 1991, 11 (2):  164-174.  Abstract ( 48 )   RICH HTML PDF (627KB) ( 35 )   Save Under some condtions, one seows that the generalized solutions of the first boundary value problem for the equation (∂u)/∂t+(-1)mDmA(DmB(u))=0, have the property of finite speed of propagation. Related Articles | Metrics

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THE EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF HIGHER ORDER Lu Guangcun Acta mathematica scientia,Series B. 1991, 11 (2):  175-189.  Abstract ( 49 )   RICH HTML PDF (810KB) ( 31 )   Save In this paper the following homogeneous Dirichlet problem is proved to have at least three solutions,Σk=1m(-1)kαk Σ|α|=kDαF(k)(Dku)+g(u)=0, in Ω u=(∂u)/∂v=…=(∂m-1u)∂vm-1=0, on ∂Ω. Related Articles | Metrics

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THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS He Yinnian, Li Kaitai Acta mathematica scientia,Series B. 1991, 11 (2):  190-207.  Abstract ( 36 )   RICH HTML PDF (1003KB) ( 32 )   Save In this paper, we represent a new numerical method for solving the nonstationary Stokes equations in an unbounded domain. The technique consists in coupling the boundary integral and finite element methods. The variational formulation and well posedness of the coupling method are obtained. The convergence and optimal estimates for the approximation solution are provided. Related Articles | Metrics

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THE NECESSARY CONDITION FOR SHORT RANGE SOLITON SOLUTION OF GKdV EQUATION Huang Lie-de Acta mathematica scientia,Series B. 1991, 11 (2):  209-212.  Abstract ( 45 )   RICH HTML PDF (247KB) ( 31 )   Save In this note, the necessary condition for short range soliton solution of generalized Koteweg de Vries (GKdV) equation is found out and proved by means of the Pontryagine's maximum principle. Related Articles | Metrics

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THE BERNSTEIN TYPE INEQUALITY AND SIMULTANEOUS APPROXIMATION BY INTERPOLATION POLYNOMIALS IN COMPLEX DOMAIN Tu Tianliang Acta mathematica scientia,Series B. 1991, 11 (2):  213-220.  Abstract ( 61 )   RICH HTML PDF (464KB) ( 32 )   Save In this paper we investigate simultaneous appoximation for arbitrary system of nodes on smooth domain in complex plane. Some results which are better than those of known theorems are obtained. Related Articles | Metrics

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TOPOLOGICAL STRUCTURE OF RENORM ALIZATION CONSTANTS IN QUANTUM FIELD THEORY AT SHORT DISTANCE KUNMING COLLABRATION OF MULTIHADRON DYNAMIOS Zhao Shusong Acta mathematica scientia,Series B. 1991, 11 (2):  221-224.  Abstract ( 54 )   RICH HTML PDF (288KB) ( 23 )   Save The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowski space time is based upon the point set with σ-length on light cone. Related Articles | Metrics

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ON MULTIPARAMETER CHACON-ORNSTEIN THEOREM Qian Nengsheng Acta mathematica scientia,Series B. 1991, 11 (2):  225-229.  Abstract ( 48 )   RICH HTML PDF (303KB) ( 27 )   Save In this paper we prove continuous multiparameter Chancon-Ornstein theorem which is described in the discrete case by Louis Sucheston. Related Articles | Metrics

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THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR EVOLUTION EQUATIONS AND APPLICATIONS TO P. D. E. Zhang Zhuangzhi Acta mathematica scientia,Series B. 1991, 11 (2):  231-240.  Abstract ( 52 )   RICH HTML PDF (635KB) ( 29 )   Save The main purpose of this paper is to discuss the existence and asymptotic behavior of solutions for (du)/dt=Au+F(t,u) u(0)=u0 t∈(0,T) and for which the sufficient conditions of asymptotic behavior are obtained and the restriction for the existence is reduced. Related Articles | Metrics