秦玉明, 黄兰, 马志勇等

2009, 24(2): 159-167.

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In this paper, we obtain some global existence results for the higher-dimensional nonhomogeneous, linear, semilinear and nonlinear thermoviscoelastic systems by using semi-group approach.

限制性集合矩阵的计数公式

卢青林

2009, 24(2): 168-172.

摘要 ( 24 )

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In this paper, we consider the counting problem of matrix of set (A_ij)_k×n which satisfies ,···, and other conditions, and obtain some computational formulas which extend all the results in [1].

特征数为2的有限域上的辛对合的结构及其应用

赵静, 袁建新, 南基洙

2009, 24(2): 173-184.

摘要 ( 22 )

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In the present paper, we compute the number of the symplectic involutions over the finite field F with charF = 2, and also one Cartesian authentication code is obtained. Furthermore, its size parameters are computed completely. If assume that the coding rules are chosen according to a uniform probability, PI and PS denote the largest probabilities of a successful impersonation attack and a successful substitution attack respectively, then PI and PS are also computed.

耗散等熵气体动力学方程组广义Riemann问题

刘法贵, 闫杰生

2009, 24(2): 185-193.

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The paper concerns with generalized Riemann problem for isentropic flow with dissipation, and show that if the similarity solution to Riemann problem is composed of a backward centered rarefaction wave and a forward centered rarefaction wave, then general-ized Riemann problem admits a unique global solution on t ≥ 0. This solution is composed of backward centered wave and a forward centered wave with the origin as their center and then continuous for t > 0.

右逆半群上的偏序关系

邵勇, 赵宪钟

2009, 24(2): 194-199.

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It is well known that there exists the smallest inverse semigroup congruence on an orthodox semigroup. We denote by Y the smallest inverse semigroup congruence on an orthodox semigroup. Let S be a right inverse semigroup. We construct partial orders on S by some kind of its subsemigroups and uncover that partial orders on S have close contact with partial orders on S/Y.

半局部E-凸性下分式多目标规划的最优性条件与对偶

胡清洁, 肖运海, 陈内萍

2009, 24(2): 200-210.

摘要 ( 24 )

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In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal Econvex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288(2003) 365–382].

一个平面线弹性的Locking-free非协调有限元

赵中建, 张冠宇, 陈绍春

2009, 24(2): 211-218.

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We propose a locking-free nonconforming finite element method to solve for the displacement variation in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is robust and optimal, in the sense that the convergence estimate in the energy is independent of the Lam′e parameter λ.

反应—扩散方程的熄灭问题

许广山, 马忠泰, 时宝

2009, 24(2): 219-222.

摘要 ( 29 )

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In this article, we consider a reaction-diffsion differential equation with initial value conditions u(x,0) = 0 on [0,a] and boundary condition u_x + α_iu = 0 on Γ = {0,a} × (0,T), and the quenching happens for the reaction-diffusion equation.

有强迫项的二阶半线性微分方程新的区间振动准则

王喜平, 陈琼, 徐继军

2009, 24(2): 223-226.

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This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.

L²(R)上Gabor框架的简单构造

鲁大勇, 田金毓

2009, 24(2): 227-233.

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In this paper, we give a method which allows us to construct a class of Parseval frames for L²(R) from Fourier frame for L²(I). The result shows that the function which generates a Gabor frame by translations and modulations has "good" properties, i.e., it is sufficiently smooth and compactly supported.

数分布损伤失效率模型常应力下的参数估计

王煜

2009, 24(2): 234-238.

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The TFR(Tampered Failure Rate) model was proposed by Bhattacharyya and Soejoeti(1989) for step-stress accelerated life tests. On step-stress completely accelerated test occasions, the paper gives a method of estimating parameters under a normal stress.

三步投影算法的收敛性及其在变分不等式组中的应用

罗洪林, 罗慧林

2009, 24(2): 239-243.

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First a general model for a three-step projection method is introduced, and second it has been applied to the approximation solvability of a system of nonlinear variational inequality problems in a Hilbert space setting. Let H be a real Hilbert space and K be a nonempty closed convex subset of H. For arbitrarily chosen initial points x₀,y₀,z₀∈ K, compute sequences x_n,y_n,z_n such that ... . For η,ρ,γ > 0 are constants,{α_n},{β_n},{a_n},{r_n},{δ_n},{λ_n} - [0,1], {u_n},{v_n},{ω_n} are sequences in K, and 0 ≤α_n+r_n ≤ 1,0 ≤β_n+δ_n≤ 1,0 ≤ a_n+λ_n≤ 1,-n ≥ 0, where T : K → H is a nonlinear mapping onto K. At last three-step models are applied to some variational inequality problems.

带滞后项的非线性微分方程的周期边值问题

祁爱琴, 高丽, 张全信

2009, 24(2): 244-251.

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The periodic boundary value problems for nonlinear functional differential equations was discussed. The existence of maximal and minimal solutions was obtained when the lower and upper solutions satisfied the formal or reverse order.

关于剩余格中滤子的格结构

张晓华, 沈建国

2009, 24(2): 252-257.

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This paper is devoted to the discussion of filters in residuated lattices. The lattice structure of filters in residuated lattice was established. It is proved that the set of all filters forms a distributive lattice. Also, the concept of prime filter in residuated lattice was proposed and some equivalent conditions about prime filter were given.

高阶非线性多点边值问题解的存在性与唯一性

裴明鹤, 张性珏

2009, 24(2): 258-266.

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In this paper, the existence and uniqueness theorems of solutions of k-point boundary value problems for nth-order nonlinear differential equations are established by Leray-Schauder continuation theorem.

具有变系数的脉冲时滞两被捕食者捕食系统的持久性和周期解

刘艳伟, 陆楷章

2009, 24(2): 267-273.

摘要 ( 25 )

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Two-prey one-predator system with a special Holling-II functional response is discussed. That ω-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.

完全wF(p,r,q)类算子的局部谱性质

华守亮, 赵玉亮

2009, 24(2): 274-277.

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In this paper, by initiative research on local spectral theory of total class wF(p,r,q) operators, we get some important results. Such as total class wF(p,r,q) operators is normaloid operator, the local spectral subspace of total class wF(p,r,q) operators is equal to the space EλH(Eλ the Reisz idempotent, with respect to λ, of T), total class wF(p,r,q) operators has finite ascent, and so on.

一类亚纯系数高阶线性微分方程解的增长性

毛志强, 刘慧芳

2009, 24(2): 278-283.

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In this paper, we investigate the growth of solutions of higher order linear differential equations with meromorphic coefficients. Under certain conditions, we obtain precise estimation of growth order and hyper-order of solutions of the equation.

基于F-算子的函数逼近的推广与改进

邓书显, 成金环

2009, 24(2): 284-289.

摘要 ( 28 )

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Through the further study on the problems of F-operator in this paper, some research results for f(x) approximated by F(f,x) are extended, some are refined precisely; meanwhile, the constant is improved further.

完全多部图的区间图完全化问题

张振坤, 侯亚林

2009, 24(2): 290-297.

摘要 ( 34 )

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The interval graph completion problem of a graph G includes two class problems: the profile problem and the pathwidth problem, denoted as P(G) and PW(G) respectively, where the profile problem is to find an interval supergraph with the smallest possible number of edges; the pathwidth problem is to find an interval supergraph with the smallest possible cliquesize. These two class problems have important applications to numerical algebra, VLSI- layout and algorithm graph theory respectively; And they are known to be NP-complete for general graphs. Some classes of special graphs have been investigated in the literatures. In this paper the exact solutions of the profile and the pathwidth of the complete multipartite graph K_{n1,n2,···,nr}(r ≥ 2) are determined.

索伯列夫嵌入不等式的证明#br#

张愿章, 张永平, 郭秀兰

2009, 24(2): 298-302.

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We consider the problem about the space embedded by the space and the embedding inequality. With the Holder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.

Quantales的连通性

王顺钦, 赵彬

2009, 24(2): 303-309.

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The concepts of connectedness and locally connectedness is introduced for right- side idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.

关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记

刘小松, 冯淑霞

2009, 24(2): 310-316.

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Suppose f is a spirallike function of type β and order α on the unit disk D. Let ... , where 1 ≤ p₁ ≤ 2,p_j ≥1,j = 2,··· ,n, are real numbers. In this paper, we will prove that ···, preserves spirallikeness of type βand order α on Ω_{n,p1,p2,···,pn}.

当期目录

半局部E-凸性下分式多目标规划的最优性条件与对偶