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Generalized fuzzy ideals of near-rings

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Applied math.matics(A Journal of Chinese Universities) 2009年第3期24卷 343-349页

作者： ZHAN Jian-ming Davvaz B. Dept. of math. Hubei Institute for Nationalities Enshi 445000 China Dept. of math. Yazd University Yazd Iran

The concept of（∈,∈∨q）-fuzzy subnear-rings（ideals） of a near-ring is introduced and some of its related properties are *** particular,the relationships among ordinary fuzzy subnear-rings（ideals）,（∈,∈∨ q）-fuzzy subnear-rings（ideals） and（∈,∈∨q）-fuzzy subnear-rings（ideals） of near-rings are ***,some characterization of [μ]t is given by means of（∈,∈∨ q）-fuzzy ideals.

关键词： near-ring subnear-ring (ideal) (∈,∈ ∨ q)-fuzzy subnear-ring (ideal) (∈ ∈∨ q)-fuzzy subnear-ring(ideal)

Weakly stable constant mean curvature hypersurfaces

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 119-126页

作者： FU Hai-ping XU Hong-wei Center of math. Sci. Zhejiang Univ. Hangzhou 310027 China Dept. of math. Nanchang Univ. Nanchang 330047 China

Let M^n be an n-dimensional complete noncompact oriented weakly stable constant mean curvature hypersurface in an （n ＋ 1）-dimensional Riemannian manifold N^n＋1 whose （n - 1）th Ricci curvature satisfying Ric^N（n-1）（n - 1）c. Denote by H and φ the mean curvature and the trace-free second fundamental form of M respectively. If ｜φ｜^2 - （n- 2）√n（n- 1）｜H｜｜φ｜＋ n（2n - 1）（H^2＋ c）〉 0, then M does not admit nonconstant bounded harmonic functions with finite Dirichlet integral. In particular, if N has bounded geometry and c ＋ H^2 〉 0, then M must have only one end.

关键词： constant mean curvature weakly stable hypersurface ends

H^1 SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

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Acta math.matica Scientia 1997年第1期17卷 91-96页

作者：严国政 Young Scientist Laboratory of math. Phys. Inst. of Math. Sci. Academia Sinica Wuhan 430071 China

In this paper, we consider the Cauchy problem of a class of semilinear parabolic system. Firstly, we obtain the local existence of solutions of (1.1),(1.2) in H-1(R(1)), and then we prove the global existence of the s... 详细信息

关键词： parabolic system a priori estimate global solution

Global attractor for Hirota equation

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 57-64页

作者： ZHANG Rui-feng GUO Bo-ling Institute of Appl. math. College of Math. and Inform. Sci. Henan Univ. Kaifeng 475001 China. Institute of Appl. Phys. and Comput. math. Beijing 100088 China.

The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in Hper^k is constructed. And then by exact analysis of the energy equation, it ... 详细信息

关键词： Hirota equation a priori estimate global attractor.

Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 151-167页

作者： XU Jiang FANG Dao-yuan Dept. of math. Nanjing Univ. of Aeronautics and Astronautics Nanjing 210016 China Dept. of math. Zhejiang Univ. Hangzhou 310027 China

In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods.

关键词： asymptotic stability smooth solutions hydrodynamic model semiconductor.

ON NECESSARY AND SUFFICIENT CONDITIONS FOR DUALS OF WAVELET FRAMES

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Acta math.matica Scientia 1995年第1期15卷 6-14页

作者：张泽银王建忠 Dept. of math. Hubai University Wuhan 430062 China Dept. of math. Wuhan University Wuhan 430072 China

This paper is concerned with the characterization of the duals of wavelet frames of L(2)(R). The sufficient and necessary conditions for them are obtained.

关键词： WAVELET ANALYSIS FRAMES DUAL FRAMES AFFINE FRAMES TIGHT FRAMES

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On λ-harmonic graphs

Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 245-252页

作者： LIU Mu-huo LIU Bo-lian Dept. of math. South China Agricultural Univ. Guangzhou 510642 China College of math. Sci. South China Normal Univ. Guangzhou 510631 China

A λ harmonic graph G, a λ-Hgraph G for short, means that there exists a constant A such that the equality λd（ui） = ∑（vi,vj）∈E（G） d（vj） holds for all i = 1, 2,…, ｜V（G）｜, where d（vi） denotes the degree of vertex vi. In this paper, some harmonic properties of the complement and line graph are given, and some algebraic properties for the λ-Hgraphs are obtained.

关键词： harmonic graph regular graph line graph degree series

LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

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Acta math.matica Scientia 1993年第2期13卷 167-179页

作者：罗涛肖玲 Dept. of math. Guishou Univ Guiyang 550025 China Inst. of math. Academia Sinica 100080 Beijing China

A claw of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t --> +infinity. The rate of the convergence in L1-no... 详细信息

关键词：非线性退化扩散方程大时间状态 L’范数 L↑∞范数

Heat flow of harmonic maps from noncompact manifolds

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Applied math.matics(A Journal of Chinese Universities) 2008年第4期23卷 431-436页

作者： WANG Meng LIU Xiao-feng Dept. of math. Zhejiang Univ. Hangzhou 310027 China Dept. of Appl. math. Donghua Univ. Shanghai 201620 China

The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.

关键词： heat flow noncompact complete manifold harmonic map