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Table of Content
30 September 2006, Volume 21 Issue 3
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On Solutions of Cubic Equations with Prime Variables in Arithmetic Progressions
ZHOU Hai-gang, WANG Tian-ze
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.
Some Hardy Type Inequalities in R
n
HAN Ya-zhou, NIU Peng-cheng
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.
Some Characterizations of Cryptogroups
LIU Guo-xin, ZHANG Jian-gang
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.
Boundary Value Problems of Quasi-linear Ordinary Differential Equations on the Semi-infinite Interval
YANG Hui-sheng, MA Yun-xin
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.
Noetherian Skew Group Rings of F.C Groups
HU Chang-liu, WANG Jian-ping
2006, 21(3): 338-341.
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Let R
*θ
G 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.
The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature
WANG Lin-feng
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.
Some Sufficient Conditions of a Solvable Group
WANG Li-fang, ZHANG Qin-hai
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.
Roman Domination Number and Domination Number of a Tree
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.
Convergence Analysis of Nonconforming Carey Element on Anisotropic Meshes in 3-D
SHI Dong-yang, XU Chao
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.
Eigenvalue of a Class of Impulsive Differential Equation with BVPs
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.
Some Extension Conditions of I
π
Characters
JIANG Zhong-zhang
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.
Asymptotic Behavior of Global Smooth Solution of 1-D Quasineutral Drift Diffusion Model for Semiconductors
CHEN Shou-xin, HAN Xiao-sen
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.
Two Stage Estimation and Its Covariance Matrix in Multivariate Seemingly Unrelated Regression System
WANG Shi-qing, YANG qiao, LIU fa-gui
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.
The Largest Spatial Frame Quotient on Prequantale
WANG Xue-qiang, WANG Shun-qin
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.
State Descomposition of Superprocesses of Stochastic Flows
ZHAO Qiao-ling, LIU Xiao-shu, YAN Guo-jun
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].
The Robust Stabilizing Feedback for a Class of Nonlinear Uncertain Neutral Systems with Multiple Time Delays
LI Hong-fei, LUO Xue-bo
2006, 21(3): 416-422.
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Discrete Sliding Mode Control of an Input-output System with Stochastic Disturbance
CAI Su-fen, ZHANG Zhi-ping, YIN Zeng-gang
2006, 21(3): 423-433.
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Some Structure and Comparison Results for Sequential Martingales in the Limit
SUN Sheng-li
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 A
n
↑A. Then, we shall apply them to establish some comparison results for the aforementioned generalizations of martingales.
On Filters of Residuated Lattice
SHEN Jian-guo, ZHANG Xiao-hua
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.
Positive Solutions for a Class of Second-order m-point Boundary Value Problems
YAN Jie-sheng, YANG Liu, LIU Xi-ping
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.
Research on Translation Gateway for IPv4/IPv6
CHU Yan-ping, WANG Hong-tao
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.
On the Quasi-monotonic Problem
ZHU Dong~mei, WANG Zhi-guo
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.
Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems
HUANG Jian-lin, ZHANG Huan-li
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 C
0
-semigroup {S(t)}
t≥0
on the space L
2
(0,1)×C
1
(0,1)×H
1
(0, 1), which processes the property of the exponential stability.
