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25 June 2006, Volume 26 Issue 3 Previous Issue    Next Issue

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(g,f)-factors and Extendable Graphs Li Jianxiang ; Yan Xiaoxia Acta mathematica scientia,Series A. 2006, 26 (3):  321-328.  Abstract ( 1494 )   RICH HTML PDF (265KB) ( 21 )   Save Let G be a graph, and let g and f be integer-valued functions defined on V(G) such that g(x)≤ f(x) for all x∈ V(G). A graph G is called a (g,f,H)-extendable ifafter deleting the vertices of any subgraph which is isomorphic to H the remaining subgraph of G has a (g,f)-factor. In the paper the characterization of (g,f,H)-extendable graph is given. Furthermore, the properties of (g,f,n)-extendable graph(H=nK1) are studied. Related Articles | Metrics

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eriodic Solutions for a Liénard-type Equation with Delays Liu Bingwen;Huang Lihong Acta mathematica scientia,Series A. 2006, 26 (3):  329-336.  Abstract ( 1559 )   RICH HTML PDF (266KB) ( 77 )   Save By using the coincidence degreetheory, new results on the existence of T-periodic solutions for the Lié nard-type equation with delays x''+f_1(x)|x'|^2+f_2(t,x(t),x(t-\delta(t))) x'+g(t,x(t-\tau(t)))=p(t) are obtained, which improve and extend some existing ones in the literature. Related Articles | Metrics

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About the Multiple Values of Quasi-conformal Mappings Zhang Hongshen Acta mathematica scientia,Series A. 2006, 26 (3):  337-342.  Abstract ( 1381 )   RICH HTML PDF (265KB) ( 74 )   Save In this paper, filling-up discs and singular radius of quasi-conformal mapping about the multiple values in the unit circle are showed. Related Articles | Metrics

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Testing for Heteroscedasticity in Semiparametric Random Effect Model Zhu Zhongyi ;Ran Hao Acta mathematica scientia,Series A. 2006, 26 (3):  343-352.  Abstract ( 1679 )   RICH HTML PDF (457KB) ( 47 )   Save It is of considerable interest in testing for heteroscedasticity in many practical studies. In this paper, the authors discuss this type of problem in framework of semiparametric mixed models. A global score test is proposed for the null hypothesis that all the variance components are zero. The test is based on the approaches of Lin (1997), the authors examine its performance in a simulation study, illustrate the test methods by using the progesterone data. The test can be easily implemented by using existing statistical softwares. Related Articles | Metrics

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The Extended F-expansion Method and the Exact Solutions to the KdV and mKdV Equation with Variable Coefficients Zhang Jinliang ; Wang Mingliang ; Wang Yueming Acta mathematica scientia,Series A. 2006, 26 (3):  353-360.  Abstract ( 1635 )   RICH HTML PDF (239KB) ( 40 )   Save In this paper, the F-expansion method proposed recently is improved and applied to derive the cnoidal-like solutions of the general KdV and mKdV equations with variable coefficients. In the limit case, the soliton-like solutions with variable propagating speed and amplitude are obtained. Related Articles | Metrics

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Stong Approximations of Power Sums Lu Chuanrong Acta mathematica scientia,Series A. 2006, 26 (3):  361-364.  Abstract ( 1403 )   RICH HTML PDF (227KB) ( 14 )   Save Let $\{\xi_n,n\geq 1\}$ be a sequence of positive random variables with $\ep \xi_1=\theta>0$, and $S_n=\sum\limits^n_{n=1}\xi_i, Y_n=n\theta\log (S_n/(n\theta))$. In this article, the author gives strong approximations of power sums $\{Y_n\}$ be Wiener process when $\{\xi_n\}$ is a sequence of independent identically disributed random variables or a sequence of $\varphi$-mixing stationary random variables. Related Articles | Metrics

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Quasi-sure Approximation of Stochastic Integrals Liu Jicheng Xie Peng Acta mathematica scientia,Series A. 2006, 26 (3):  365-374.  Abstract ( 1544 )   RICH HTML PDF (267KB) ( 20 )   Save In this paper, the authors prove the quasi-sure approximation of stochastic integrals. Based on this conclusion, the authors extend the main results of [8] with simpler proofs which can also be applied to the two-parameter case. Related Articles | Metrics

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Bilinear Calderon-Zygmund Operators on Spaces of Homogeneous Type Li Wenming;Li Haiping Acta mathematica scientia,Series A. 2006, 26 (3):  375-381.  Abstract ( 1671 )   RICH HTML Save The authors study the bilinear Calderon-Zygmund singular integral operators on spaces of homogeneous type and obtain some properties of them and an endpoint weak type estimate. Related Articles | Metrics

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Algorithm of Global Optimization for Generalized Geometric Programming Shen Peiping;Yang Changsen Acta mathematica scientia,Series A. 2006, 26 (3):  382-386.  Abstract ( 1323 )   RICH HTML PDF (301KB) ( 22 )   Save A deterministic global optimization algorithm is proposed for locating global minimum of generalized geometric programming (GGP), which can be applied to engineering designs. By utilizing the linear underestimates of the objective and constraint functions, the relaxation linear programming (RLP) about GGP is established, thus the initial non-convex problem (GGP) is reduced to a series of linear programming (RLP).The proposed branch and bound algorithm is convergent to the global minimum of GGP through the successive refinement of the feasible region and the solutions of a series of RLP. And finally the numerical example is given to illustrate the feasibility of the present algorithm. Related Articles | Metrics

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A Stage-Structured Predator-Prey Model with Time Delays Xu Rui; Hao Feilong ;Chen Lansun Acta mathematica scientia,Series A. 2006, 26 (3):  387-395.  Abstract ( 1729 )   RICH HTML PDF (321KB) ( 116 )   Save A delayed predator-prey model with stage structure for prey is investigated. By constructing suitable Lyapunovfunctionals, the authors discuss the global attractivity of nonnega tiveequilibria. A set of easily verifiable sufficient conditions are derived for the permanence and extinction of the proposed ecological system. Related Articles | Metrics

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The Effect of Time-Delay on the Asymptotic Behavior of the Food-limited Population Model Wang Jinliang Zhou Li Acta mathematica scientia,Series A. 2006, 26 (3):  396-402.  Abstract ( 1823 )   RICH HTML PDF (384KB) ( 29 )   Save The main aim of this paper is to study the effect of time-delay on the food-limited diffusive population model. Comparing with the no-delay system, the estimates of time-delay on the asymptotic behavior of the solution in the delayed system are well revealed. Related Articles | Metrics

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Two Notes on the Topological Pressure of the Continuous Self-mappings Zheng Hongwen;Zhu Yujun Acta mathematica scientia,Series A. 2006, 26 (3):  403-409.  Abstract ( 1708 )   RICH HTML PDF (308KB) ( 117 )   Save Let <b>T:X→X</b> be a continuous mapping on a compact metric space <b>(X,d)</b>. In this paper, the authors give a direct proof of the equality of the pressure of <b>T</b> and that of <b>T</b> restricted to its non-wandering set, P(T,f)=(T|_\Omega,f|_\Omega),f\in C(X,R,without applying the variational principle. The authors also discuss the relation of the pressures of two systems which are semiconjugate, and show that the pressure is invariant under the uniformly finite-to-one semi-conjugacy. Related Articles | Metrics

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Global Qualitative Analysis of a Food Chain Model Wang Yuquan ;Jing Zhujun Acta mathematica scientia,Series A. 2006, 26 (3):  410-420.  Abstract ( 1756 )   RICH HTML PDF (345KB) ( 27 )   Save The goal of this paper is to study systematically a food chain model consisting of one prey and two predator spacies. The authors show the interactions may lead to that two predators species are both extinct or one of them is extinct, or all three species may be coexistent in the form of positive steady state or oscillatory solutions. Using AMTLAB software, the authors present two examples to simulate these conclusions. Related Articles | Metrics

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On the Uniform Convergence of a Kind Quadrature Rule for Cauchy Type Singular Integrals Cai Haotao; Acta mathematica scientia,Series A. 2006, 26 (3):  421-425.  Abstract ( 1961 )   RICH HTML PDF (239KB) ( 29 )   Save In this paper, the author first gives a kind quadrature rule $\Phi_m^{*}(wf,x)$ for Cauchy type singular integral $\Phi(wf,x)$, then proves the sequence $\{\Phi_m^{*}(wf,x)\}_{m=2}^{\infty}$ is uniformly convergent to $\Phi(wf,x)$ on the interval $[-1,1]$, at that time gives its error bounds. Related Articles | Metrics

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On the 2-Harmonic Submaniflods of a Quast Constant Curvature Space Song Weidong Acta mathematica scientia,Series A. 2006, 26 (3):  426-430.  Abstract ( 1332 )   RICH HTML PDF (244KB) ( 27 )   Save In this paper, the author studies the compact 2-harmonic submaniflods of a guast constant curvature space and obtains a pinching theorem of the length of the second fundamental form and an integral inequatily of Simon's type. Related Articles | Metrics