数学季刊

周海港, 王天泽

2006, 21(3): 317-321.

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In this paper, we give a necessary and sufficient solvable condition for diagonal cubic equation with prime variable in arithmetic progressions and the outline of the proof.

欧氏空间上的一些Hardy型不等式

韩亚洲, 钮鹏程

2006, 21(3): 322-325.

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Some Hardy type inequalities on the ball and its complementary set in the Euclidean space are established by using the Picone type identity and constructing suitable auxiliary functions.

密码群的若干性质

刘国新, 张建刚

2006, 21(3): 326-330.

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In this paper, we give some characterizations of(regular, normal) cryptogroups with Green’s relations, left(right) translations and homomorphisms.

拟线性常微分方程在半无限区间的边值问题

杨会生, 马韵新

2006, 21(3): 331-337.

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Existence of positive solution is established for boundary value problems of non-singular for a class quasi-linear ordinary differential equation on the semi-infinite interval. The results are obtained by using the nonlinear alternative of Leray-Schauder method.

F.C群上的Noetherian斜群环

胡长流, 王建平

2006, 21(3): 338-341.

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Let R_*θG be the skew group ring with a F.C group G and the group homom-rphismθfrom G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R*θG will be Noetherian is given, which generalizes the results of I.G. connel.

拟常曲率流行中全脐点子流行的拼嵌定理

王林峰

2006, 21(3): 342-350.

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We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.

可解群的若干充分条件

王丽芳, 张勤海

2006, 21(3): 351-357.

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A subgroup if of a group G is called semipermutable if it is permutable with every subgroup K of G with (|H|, |K|) - 1, and s-semipermutable if it is permutable with every Sylow p-subgroup of G with (p, |H|) = 1. In this paper, some sufficient conditions for a group to be solvable are obtained in terms of s-semipermutability.

树的罗马控制数和控制数

宋晓新, 王晓凤

2006, 21(3): 358-367.

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A Roman dominating function on a graph G = (V, E) is a function f : V→{0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) - 2. The weight of a Roman dominating function is the value . The minimum weight of a Roman dominating function on a graph G, denoted byγR(G), is called the Roman dominating number of G. In this paper, we will characterize a tree T with γR(T) =γ(T) + 3.

三维各项异性非协调Carey有限元的收敛性分析

石东洋, 许超

2006, 21(3): 368-374.

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In this paper, the convergence analysis of the famous Carey element in 3-D is studied on anisotropic meshes. The optimal error estimate is obtained based on some novel techniques and approach, which extends its applications.

一类脉冲微分方程边值问题的特征值

张建平, 蔡果兰

2006, 21(3): 375-380.

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Consider the following equations: Where 0 <η< 1,0 <α< 1, and f : [0,1]×[0,∞)→[0,∞), Ii,Li : [0,∞)→R, (i = 1,2,…, k) are continuous functions. We prove the existence of eigenvalues for the problem under a weaker condition, moreover we do not require the monotonicity of the impulsive functions.

I_π特征标的一些扩张条件

蒋忠樟

2006, 21(3): 381-384.

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In 1984, Isaacs proposed the theories of B_π-character and Iπ-character in n-separated group. This paper gives some new extension conditions of Iπcharacters.

半导体中一维拟中性漂流扩散模型整体光滑解的渐进性

陈守信, 韩小森

2006, 21(3): 385-396.

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In this paper, we study the asymptotic behavior of globally smooth solutions of initial boundary value problem for 1-d quasineutral drift-diffusion model for semiconductors. We prove that the smooth solutions(close to equilibrium)of the problem converge to the unique stationary solution.

多元性相依回归系统的两步估计及其协差阵

王石青, 杨乔, 刘法贵

2006, 21(3): 397-401.

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Multivariate seemingly unrelated regression system is raised first and the two stage estimation and its covariance matrix are given. The results of the literatures[1-5] are extended in this paper.

Prequantale上最大空间式Frame商

王学强, 王顺钦

2006, 21(3): 402-405.

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Prequantale quotient is defined in terms of prequantic nucleus, some equivalent propositions of which is obtained. Also, prequantale quotient is proved to coincide with the quotient object in PQuant up to isomorphism. At last, the concrete structure of the largest spatial frame quotient in TPQuant is given.

随机流的超过程的状态分解

赵巧玲, 刘孝书, 阎国军

2006, 21(3): 406-415.

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In this paper, we reconstruct the superprocesses of stochastic flows by martingale method, and prove that if and only if the infinitesimal particles never hit each other, then atomic part and diffuse part of this kind of superprocesses will be also superprocesses of stochastic flows. This result completely answers the open problem in [1].

多时滞非线性中立型反馈系统的鲁棒稳定性

李宏飞, 罗学波

2006, 21(3): 416-422.

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The stabilization of a class of neutral systems with multiple time-delays is considered. To stabilize the neutral system with nonlinear uncertainty, a state feedback control law via compound memory and memoryless feedback is derived. by constructed Lyapunov functional, delay-independent stability criteria are proposed that are sufficient to ensure a uniform asymptotic stability property. Finally, two concise examples are provided to illustrate the feasibility of our results.

一类非最小相位随机系统的离散自适应滑动模态控制

蔡素芬, 张志平, 尹增刚

2006, 21(3): 423-433.

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This paper presents the discrete adaptive sliding mode control of input-output non-minimum phase system in the presence of the stochastic disturbance. The non-minimum phase system can be transformed into a minimum phase system by a operator. According to the minimum phase system, the controller and the adaptive algorithm we designed ensures the stability of system and holds that the mean-square deviation from the sliding surface is minimized.

两类拟序列列鞅的结构与比较

孙胜利

2006, 21(3): 434-442.

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There are several important generalizations of martingales such as games fairer with time, quasi-mils and sequential martingales in the limit. In the note, we shall consider all possible structures of a probability space (Ω, A, (A_n), P) associated with a stochastic basis(A_n) of subσ-fields of A with An↑A. Then, we shall apply them to establish some comparison results for the aforementioned generalizations of martingales.

剩余格中的滤子

沈建国, 张晓华

2006, 21(3): 443-447.

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This paper is devoted to the discussion of filters in residuated lattices. Some equivalent conditions about filter were given. The structure of generated filter was established. The concept of implicative filter in residuated lattice was proposed with its basic properties being discussed.

一类二阶m点边值问题的正解

闫杰生, 杨刘, 刘锡平

2006, 21(3): 448-454.

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Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.

IPv4/IPv6翻译网关的研究

楚艳萍, 王红涛

2006, 21(3): 455-460.

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In this paper, a model of translation gateway is proposed. The communications between IPv4 network and IPv6 network are realized by using the Microsoft intermediate driver technology in environment of Windows 2000.

拟单调问题的讨论

朱冬梅, 王治国

2006, 21(3): 461-464.

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This paper gives the necessary condition and one sufficient condition of the quasi-monotonic function, and proves that the linear fractional function is quasi-monotone.

线性热粘弹性方程组弱解的指数稳定性

黄建林, 张环理

2006, 21(3): 465-474.

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This paper is concerned with the exponential stability of weak solutions to a linear one-dimensional thermoviscoelastic system with clamped boundary conditions. This system defines a C₀-semigroup {S(t)}_t≥0on the space L²(0,1)×C¹(0,1)×H¹(0, 1), which processes the property of the exponential stability.

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