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中文
Table of Content
30 December 2005, Volume 20 Issue 4
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On Growth and Covering Theorem for Almost Spiallike Mapping of Type β with Order α
LIU Hao, LIU Ai-chao
2005, 20(4): 331-337.
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Let f(x) be an almost spirallike mapping of type β with order α on unit ball B of complex Banach space X. In this paper, we consider the growth and covering theorems for f(x), we also prove that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.
Diagonal Invariant Ideals of Topologically Graded C*-algebras
XU Qing-xiang, ZHANG Xiao-bo
2005, 20(4): 338-341.
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We study diagonal invariant ideals of topologically graded C*-algebras over discrete groups. Since all Toeplitz algebras defined on discrete groups are topologically graded, the results in this paper have improved the first author’s previous works on this topic.
Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations
LIU Ke-ying, XU Shao-xian, LIU An-ping
2005, 20(4): 342-349.
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This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the essential difference between this type and that without delays.
Relative N-compactness in L-fuzzy Topological Spaces
LI Yao-long, LI Sheng-gang
2005, 20(4): 350-354.
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The concept of relative N-compactness is defined and characterized in terms of nets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy sets and the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It is also proved that induced relative N-compact spaces are productive, and the product of finite relative compact sets is relative compact.
On the Group of Units for the Ring of Linear Transformations
ZHANG Guang-hui~, SUN Ying-de
2005, 20(4): 355-359.
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In this paper, we introduce a practical method for obtaining the structure of the group of units for the ring of linear transformations of a vector space over an arbitrary field, and we give a further generalization of the result in [3].
The Global Solution for a Class of Dissipative Hasegawa-Mima Equation
ZHANG Rui-feng, LI Rui-ge
2005, 20(4): 360-366.
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Applying the integral a priori estimates method, the existence and uniqueness of the global solution for the dissipative Hasegawa-Mima equation with initial periodic boundary condition was proved.
The Popularization of the Weighting of Chebysher's Inequality
YANG Hui, YAO Hong
2005, 20(4): 367-371.
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This paper presents the popularization of the weighting of Chebyshev’s inequality and discusses the relation between this popularization and some famous inequalities.
Some Inequalities for Submanifolds in Cosymplectic Space Forms
LI Xing-xiao, HUANG Guang-yue
2005, 20(4): 372-379.
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For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.
Existence of Positive Solutions for Boundary Value Problems on the Semi-infinite Interval
NI Xiao-hong, GE Wei-gao
2005, 20(4): 380-384.
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In this paper, the authors study the existence of positive solution of the following BVP on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.
A Class of Singularly Perturbed Problems for Nonlinear Elliptic Equations
ZHANG Han-lin
2005, 20(4): 385-389.
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A class of singularly perturbed problems for the nonlinear elliptic equations is considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations possess two intersecting solutions.
Asymptotic Behavior of Global Solutions for Double Degenerate Nonlinear Parabolic Equation
YE Yao-jun, LIU Qiu-xiang
2005, 20(4): 390-394.
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In this paper we study the decay estimate of global solutions to the initialboundary value problem for double degenerate nonlinear parabolic equation by using a difference inequality.
Find Better Boolean Functions in the Affine Equivalence Class
CHEN Wei-hong, LI Na
2005, 20(4): 395-400.
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The Boolean functions in an affine equivalence class are of the same algebraic degree and nonlinearity, but may satisfy different order of correlation immunity and propagation criterion. A method is presented in this paper to find Boolean functions with higher order correlation immunity or satisfying higher order propagation criterion in an affine equivalence class. 8 AES s-box functions are not better Boolean functions in their affine equivalence class.
Estimates on Blow-up Rate of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions
LIU Wei-ling, LI Guo-fu
2005, 20(4): 401-405.
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In this paper, the estimate on blow-up rate of the following nonlinear parabolic system is considered: .... . We will prove that there exist two positive constants such that: ... , where l
1
= l
21
α／α
2
+l
22
,r=α
1
／α
2
＞1,α
1
≤α
2
＜0.
Some Improvement on Hilbert's Inequality and Its Application
GAO Ming-zhe, JIA Wei-jian
2005, 20(4): 406-410.
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A new improvement of Hilbert’s inequality for double series can be established by means of a strengthened Cauchy’s inequality. As application, a quite sharp result on Fejer-Riesz’s inequality is obtained.
Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations
Interval CriterSHEN Chun-xue, ZHANG Hong-kui
2005, 20(4): 411-417.
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By employing a generalized Riccati technique and an integral averaging technique, new interval oscillation criteria are established for the forced second-order half-linear differential equation [r(t)|x’(t)|
α-1
x’(t)]’+q(t)|x(t)|
α-1
x(t)=e(t).
New Oscillatory Criterias of Certain Second Order Neutral Functional Differential Equations
LIN Wen-xian
2005, 20(4): 418-422.
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In this paper, the sufficient conditions for the oscillation of all solutions of certain second order nonlinea neutral equations with continuous distributed delay.
The Nilpotency of Lie Triple Algebras
WANG Gui-dong
2005, 20(4): 423-429.
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In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.
Multiply-twisted Hypercube with Four or Less Dimensions is Vertex-transitive
HUANG Jia, XU Jun-ming
2005, 20(4): 430-434.
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P Kulasinghe and S Bettayeb showed that any multiply-twisted hypercube with five or more dimensions is not vertex-transitive. This note shows that any multiply-twisted hypercube with four or less dimensions is vertex-transitive, and that any multiply-twisted hypercube with three or larger dimensions is not edge-transitive.
A Note on the Controllability of Distribution Parameter Control System
SHI Jin-e, ZHANG Zhi-ping
2005, 20(4): 435-437.
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This paper gives the relation between the precise controllabilities of two distribution parameter systems.
Homeomorphic Classes of Graphlike Manifolds with Contractions 6,7,8-pyramid
ZHANG Qun, SONG Zhong-shan
2005, 20(4): 438-440.
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In this note, we reported some results of homeomorphic classification of graphlike manifolds of which contractions are edges of pyramids, and the number of vertexes of the base of a pyramid, equal to 6 or 7 or 8.
