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CMC surfaces in the hyperbolic 3-space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3 1. Institute of mathematics, Fudan University, Shanghai 200433, China 2. department of mathematics,Sichuan Union University, Chengdu 610064, China 3. department of mathematics, Nanchang University, Nanchang 33 nstitute of Mathemalics Fudan University Shanghai China department of mathematics Sichuan Union University Chengdu China department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

NONOSCILLATION RESULTS FOR A CLASS OF THIRD ORDER NONLINEAR DIFFERENTIAL EQUATIONS

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Applied mathematics and Mechanics(English Edition) 2002年第10期23卷 1170-1175页

作者： Pakize Temtek 1, Aydn Tiryaki 2 (1 department of mathematics, Faculty of Arts and Science, Erciyes University, 38039, Kayseri, Turkey 2.department of mathematics, Faculty of Arts and Science, Gazi University, Teknikokullar 06500 Ankara, Turke department of mathematics Faculty of Arts and Science Erciyes University Kayseri Turkey department of mathematics Faculty of Arts and Science Gazi University Ankara Turkey

Sufficient conditions for the nonoscillatory solutions of a class of third order nonlinear differential equations are presented. The results obtained generalize some criteria given by Parhi. In some special cases, som... 详细信息

关键词： differential equation nonlinear nonoscillatory solution Parhi criteria

ω-Gorenstein injective modules and dimensions

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Science China mathematics 2011年第3期54卷 421-436页

作者： ZHU HaiYan1,2 & DING NanQing3 1department of mathematics, Zhejiang University, Zhejiang 310027, China 2department of mathematics, Zhejiang University of Technology, Zhejiang 310023, China 3department of mathematics, Nanjing University, Nanjing 210093, China department of mathematics Zhejiang University Zhejiang China department of mathematics Zhejiang University of Technology Zhejiang China department of mathematics Nanjing University Nanjing China

Gorenstein injective modules and dimensions have been studied extensively by many authors. In this paper, we investigate Gorenstein injective modules and dimensions relative to a Wakamatsu tilting module.

关键词： Wakamatsu tilting module ω-Gorenstein injective module ω-Gorenstein injective dimension cotilting module

Characteristic analysis for a polynomial-like iterative equation

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Chinese Science Bulletin 1998年第3期43卷 192-196页

作者： Janusz Matkowski 1 and ZHANG Weinian 2 1. department of mathematics, Technical University, 43_300 Bielsko_Biala, Poland 2. department of mathematics, Sichuan Union University, Chengdu 610064, China department of mathematics Technical University Bielsko-Biala Poland department of mathematics Sichuan Union University Chengdu China

In the light of Euler’s idea for differential equations,a polynomial_like n _order iterative equation is discussed through analyzing its characteristic polynomial. An unproved result is verified rigorously for the fi... 详细信息

关键词： iterative dynamics functional equation characteristic.

Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases

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Science China mathematics 2010年第3期53卷 719-738页

作者： KONG DeXing 1 , LIU KeFeng 2 & WANG YuZhu 3, 1 department of mathematics, Zhejiang University, Hangzhou 310027, China 2 department of mathematics, University of California at Los Angeles, CA 90095, USA 3 department of mathematics, Shanghai Jiao Tong University, Shanghai 200248, China department of mathematics Zhejiang University Hangzhou China department of mathematics University of California at Los Angeles Los Angeles USA department of mathematics Shanghai Jiao Tong University Shanghai China

In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of the smooth solution to the Cauchy problem for twodimensional flow of Chaplygin gases.

关键词： Chaplygin gases compressible Euler equations irrotational flow null condition Cauchy problem smooth solution

The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)

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Science China mathematics 2009年第11期52卷 2432-2446页

作者： ZHU YuCan1 & LIU MingSheng2 1 department of mathematics,Fuzhou University,Fuzhou 350002,China 2 department of mathematics,South China Normal University,Guangzhou 510631,China department of mathematics Fuzhou University Fuzhou China department of mathematics South China Normal University Guangzhou China

Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2,γ2,...,βn+1,γn+1(f)... 详细信息

关键词： Roper-Suffridge extension operator biholomorphic starlike mapping almost spirallike mapping of type β and order α spirallike mapping of type β and order α

Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries

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Science China mathematics 2007年第9期50卷 1251-1266页

作者： Ling-hua KONG~(1+) Ming-xin WANG~(2,3) 1 department of Applied mathematics,Dalian University of Technology,Dalian 116024,China 2 department of mathematics,Southeast University,Nanjing 210018,China 3 department of mathematics,Xuzhou Normal University,Xuzhou 221116,China department of Applied mathematics Dalian University of Technology Dalian China department of mathematics Southeast University Nanjing China department of mathematics Xuzhou Normal University Xuzhou China

This paper deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. By using super-and sub-solution techniques, we first give the sufficient conditions that the classical solution exists globally and blows up in a finite time respectively, and then give the necessary and sufficient conditions that two components u and ν blow up simultaneously. Finally, the uniform blow-up profiles in the interior are presented.

关键词： parabolic system nonlocal sources nonlocal boundary conditions blow-up set simultaneous blow-up uniform blow-up profile 35K15 35K65

Decay of geometry for unimodal maps:The C^2 case

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Chinese Science Bulletin 2009年第11期54卷 1859-1862页

作者： SHEN WeiXiao1,2 1 department of mathematics, University of Science and Technology of China, Hefei 230026, China 2 department of mathematics, National University of Singapore, Singapore 117543, Singapore department of mathematics University of Science and Technology of China Hefei China department of mathematics National University of Singapore Singapore Singapore

We prove that a C2 unimodal interval map with critical order not greater than 2 has the decay of geometry property, by showing that all the cross-ratio estimates needed in the previous proof for the C3 case remain true.

关键词：衰变几何图案件几何性质比率估计证明

On the periodic solutions of a type of differential-iterative equations

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Chinese Science Bulletin 1998年第3期43卷 204-206页

作者： GE Weigao 1, LIU Zhengrong 2 and YU Yuanhong 3 1. department of Applied mathematics, Beijing Institute of Technology, Beijing 100081, China 2. department of mathematics, Yunnan University, Kunming 650091, China 3. Institute of Applied mathematics, C department of Applied mathematics Beijing Institute of Technology Beijing China department of mathematics Yunnan University Kunming China Institute of Applied mathematics Chinese Academy of Sciences Beijing China

Sufficient conditions for the existence of periodic solutions to a type of nonautonomous differential_iterative equations are given.

关键词： differential_iterative equation periodic solution fixed point.