数学季刊杂志

On the Cauchy Problem for a Class of Nonlinear Wave Equations with Damping Term

作者：SONGChang-ming; KONGDe-xing 刊期：2005年第02期

The paper concerns with the existence, uniqueness and nonexistence of global solution to the Cauchy problem for a class of nonlinear wave equations with damping term. It proves that under suitable assumptions on nonlinear the function and initial data the abovementioned problem admits a unique global solution by Four...

On the Decay Number of a Graph

作者：LIDe-ming 刊期：2005年第02期

The decay number of a connected graph is defined to be the minimum number of the components of the cotree of the graph. Upper bounds of the decay numbers of graphs are obtained according to their edge connectivities. All the bounds in this paper are tight.Moreover, for each integer k between one and the upper bound, ...

Another Simple and Elementary Proof of the Classical Isoperimetric Inequality

作者：PANSheng-liang; YANGJuan-ha 刊期：2005年第02期

In this short note we will give another simple and elementary proof of the classical isoperimetric inequality in the Euclidean plane.

On Semiring Semigroups

作者：LIShi-zheng; CHENGTao 刊期：2005年第02期

This paper characterizes the multiplication operator semigroup of semiring semigroup by using the tensor product of semigroups, and by using the endomorphism semigroup, and considers some properties of the multiplication operator semigroup of semiring semigroup.

The Non-countable Summation Type Hahn-Schur Theorems

作者：LUETong-fu; HUJian-hua; CHOMin-hyung 刊期：2005年第02期

The classical countable summation type Hahn-Schur theorem is a famous result in summation theory and measure theory. An interesting problem is whether the theorem can be generalized to non-countable summation case? In this paper, we show that the answer is true.

A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups

作者：LANSen-hua; LIRui 刊期：2005年第02期

Inequalities in Connection with Post-Widder Operators

作者：SONGZhan-jie 刊期：2005年第02期

The purpose of this paper is to derive the inequalities in connection with PostWidder operators， the result is corresponding to Wickeren in connection with Bernstein polynomials.

Harmonic Bergman Metric

作者：ZHAOZhen-gang 刊期：2005年第02期

We have constructed the positive definite metric matrixes for the bounded domains of R^n and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of R^n and the metric matrix of the same bounded domain.

The Estimation of the Number of Zeros of the Abelian Integrals for a Class of Hamiltonian Systems

作者：SONGYan 刊期：2005年第02期

In this paper, we discuss the estimation of the number of zeros of the Abelian integral for the quadratic system which has a periodic region with a parabola and a straight line as its boundary when we perturb the system inside the class of all polynomial systems of degree n. The main result is that the upper bound fo...

On σ-images of Metric Spaces

作者：LIANGHong-liang; YANGWei-na 刊期：2005年第02期

In this paper the relation between the σ-images of metrical spaces and spaces with σ-locally finite cs-network, or spaces with σ-locally finite cs^*-network, or spaces with σ-locally finite sequence neighborhood network, or spaces with σ-locally finite sequence open network are established by use of σ-mapping.

Avoidance of Blow-up by Moving Medium

作者：YAOLi; LIUYun-xian; YANGPeng-fei 刊期：2005年第02期

This paper deals with two parabolic inltial-boundary value problems in multidimensional domain. The first problem describes the situation where the spherical medium is static and the nonlinear reaction takes place only at a single point. We show that under some conditions, the solution blows up in finite time and the...

Hyperreflexivity of Operator Algebras of the Banach Space

作者：YUANGuo-chang; QINLi-ming 刊期：2005年第02期

In this paper, we introduced the hyperreflexivity of operator algebra A on Banach space, discussed the necessary, and sufficient condition that A is hyperreflexive, the estimate of hyperreflexive constant and the invariance of hyperreflexivety under the similarity transformation.

Asymptotic of the Solutions to the Initial Boundary Value Problem for the Diffusion Equations for Semiconductors

作者：WANGWen-bin; LIUShu-mei 刊期：2005年第02期

In this paper, we study the asymptotic behavior of the solutions to the initial boundary value problem for unipolar drift diffusion equations for semiconductors. Under the proper assumptions on doping profile and initial value, we prove that the smooth solutions to these evolutionary problems tend to the unique stati...

Category of Generalized Intuitionistic Fuzzy Sets

作者：YANGWan-cai; LIXiao-shen 刊期：2005年第02期

In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS axe studied. Firstly， it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers， Secondly， it is proved that the category GIFS has middle object a...

The First Eigenvalue of a Compact Manifold

作者：ZHAODi; YANGJian-an 刊期：2005年第02期

This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diameter of M. Our main result is that the first eigenvalue λ1 of M satisfies λ1≥π^2/d^2-0.518R.