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Feller property and exponential ergodicity of diffusion processes with state-dependent switching

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Science China Mathematics 2008年第3期51卷 329-342页

作者： XI FuBao department of Mathematics, Beijing Institute of technology, Beijing 100081, China 1. department of Mathematics Beijing Institute of Technology Beijing 100081 China

In this paper we consider the Feller property and the exponential ergodicity for general diffusion processes with state-dependent switching. We prove their Feller continuity by means of intro- ducing some auxiliary processes and by making use of the Radon-Nikodym derivatives. Furthermore, we also prove their strong Feller continuity and their exponential ergodicity under some reasonable conditions.

关键词： Feller continuity Radon-Nikodym derivative strong Feller continuity exponential ergodicity state-dependent switching 60J60 34D25

A BENDING DAMAGE THEORY FOR BEAMS UNDER PURE BENDING LOADS

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国防科技大学学报 1995年第3期17卷 41-52页

作者： Yang Guangsong Lu Yinchu Jin Xin(department of Aerospace technology, NUDT, Changsha, 410073)

ＡＢＥＮＤＩＮＧＤＡＭＡＧＥＴＨＥＯＲＹＦＯＲＢＥＡＭＳＵＮＤＥＲＰＵＲＥＢＥＮＤＩＮＧＬＯＡＤＳＹａｎｇＧｕａｎｇｓｏｎｇ；ＬｕＹｉｎｃｈｕ；ＪｉｎＸｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＡｅｒｏｓｐａｃｅＴｅｃｈｎｏｌｏ... 详细信息

ＡＢＥＮＤＩＮＧＤＡＭＡＧＥＴＨＥＯＲＹＦＯＲＢＥＡＭＳＵＮＤＥＲＰＵＲＥＢＥＮＤＩＮＧＬＯＡＤＳＹａｎｇＧｕａｎｇｓｏｎｇ；ＬｕＹｉｎｃｈｕ；ＪｉｎＸｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＡｅｒｏｓｐａｃｅＴｅｃｈｎｏｌｏｇｙ，ＮＵＤＴ，Ｃｈａｎｇｓｈａ，...

关键词：梁弯曲损伤纯弯曲损伤理论

Normality concerning shared values

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Science China Mathematics 2009年第8期52卷 1717-1722页

作者： CHANG JianMing department of Mathematics, Changshu Institute of technology, Changshu 215500, China department of Mathematics Changshu Institute of Technology Changshu 215500 China

Let $ \mathcal{F} $ be a family of meromorphic functions in a plane domain D, and a and b be finite non-zero complex values such that $ a/b \notin \mathbb{N}\backslash \{ 1\} $ . If for $ f \in \mathcal{F}, f(z) = a \Rightarrow f'(z) = a $ and $ f'(z) = b \Rightarrow f''(z) = b $ , then $ \mathcal{F} $ is normal. We also construct a non-normal family $ \mathcal{F} $ of meromorphic functions in the unit disk Δ={|z|<1} such that for every $ f \in \mathcal{F}, f(z) = m + 1 \Leftrightarrow f'(z) = m + 1 $ and $ f'(z) = 1 \Leftrightarrow f''(z) = 1 $ in Δ, where m is a given positive integer. This answers Problem 5.1 in the works of Gu, Pang and Fang.

关键词： meromorphic function holomorphic functions normal family 30D45

ANALYSIS OF DISSIPATIVE STRUCTURE IN MATERIAL COMMINUTION

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中国有色金属学会会刊：英文版 1995年第1期5卷 21-24,41页

作者： Zhang Zhitie(department of Mechanical Engineering, Central South University of technology, Changsha 410083) CENT S UNIV TECHNOL DEPT MECH ENGNCHANGSHA 410083PEOPLES R CHINA

ＡＮＡＬＹＳＩＳＯＦＤＩＳＳＩＰＡＴＩＶＥＳＴＲＵＣＴＵＲＥＩＮＭＡＴＥＲＩＡＬ　ＣＯＭＭＩＮＵＴＩＯＮＺｈａｎｇ；Ｚｈｉｔｉｅ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＣｅｎｔｒａｌＳｏ... 详细信息

ＡＮＡＬＹＳＩＳＯＦＤＩＳＳＩＰＡＴＩＶＥＳＴＲＵＣＴＵＲＥＩＮＭＡＴＥＲＩＡＬ　ＣＯＭＭＩＮＵＴＩＯＮＺｈａｎｇ；Ｚｈｉｔｉｅ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒｓｉｔｙｏｆＴｅ...

关键词： material comminution dissipative structure catastrophe nonlinear thermodynamics dynamics

CALCULATING MODELS OF MASS ACTION CONCENTRATIONSFOR MATTES (Cu_2S-FeS-SnS)INVOLVING EUTECTIC

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Acta Metallurgica Sinica(English Letters) 1997年第5期10卷 392-397页

作者： J. Zhang (department of Metallurgy, University of Science and technology Beijing, Beijing 100083, China) Univ of Science and technology Beijing Beijing China

Based on the facts that cations and anions of molten salts and binary basic oxide solid solutions do not separate from each other as well as that the electric conductivities of mattes are greater than that of salts and basic oxide solid solutions, the calculating models of mass action concentrations for binary and ternary mattes involving eutectic have been formulated. The results of calculation agree well with the values measured;this in turn shows that the calculating models can reftect the structural characteristics of the mattes concerned.

关键词： matte activity eutectic mass action concentration

CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS

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Acta Mechanica Sinica 1989年第2期5卷 167-175页

作者： Liu Duan (department of Applied Mechanics,Beijing Institute of technology) 1. department of Applied Mechanics Beijing Institute of Technology Beijing China

In this paper conservation laws of nonholonomic nonconservative dynamical systems are studied by using the differential variational principles of Jourdain and the generalized Noether's identi- ties of nonconservative ... 详细信息

关键词： conservation law nonholonomic constraint Noether's theorem

THE CREEP-DAMAGE MODELING CORRELATED TO TEMPERATURE FOR COMPOSITE SOLID

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国防科技大学学报 1995年第3期17卷 109-113页

作者： Shen Huai rong(department of Aerospace technology, 108 Laboratory, NUDT, Changsha, 410073)

ＴＨＥＣＲＥＥＰ－ＤＡＭＡＧＥＭＯＤＥＬＩＮＧＣＯＲＲＥＬＡＴＥＤＴＯＴＥＭＰＥＲＡＴＵＲＥＦＯＲＣＯＭＰＯＳＩＴＥＳＯＬＩＤＰＲＯＰＥＬＬＡＮＴＳｈｅｎＨｕａｉｒｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｅｒｏｓｐａｃｅＴ... 详细信息

ＴＨＥＣＲＥＥＰ－ＤＡＭＡＧＥＭＯＤＥＬＩＮＧＣＯＲＲＥＬＡＴＥＤＴＯＴＥＭＰＥＲＡＴＵＲＥＦＯＲＣＯＭＰＯＳＩＴＥＳＯＬＩＤＰＲＯＰＥＬＬＡＮＴＳｈｅｎＨｕａｉｒｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｅｒｏｓｐａｃｅＴｅｃｈｎｏｌｏｇｙ，１０８Ｌａｂｏ...

关键词：复合固体推进剂蠕变损伤模型温度

EQUIVALENT CIRCUIT OF NONLINEAR EFFECT OF SPECTRAL IP

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中国有色金属学会会刊：英文版 1995年第4期5卷 1-7页

作者： He, Jishan Li, Daqing Tang, Jingtian(department of Geology, Central South University of technology, Changsha 410083) Central South Univ of technology Changsha China

ＥＱＵＩＶＡＬＥＮＴＣＩＲＣＵＩＴＯＦＮＯＮＬＩＮＥＡＲＥＦＦＥＣＴＯＦＳＰＥＣＴＲＡＬＩＰ￥Ｈｅ，Ｊｉｓｈａｎ；Ｌｉ，Ｄａｑｉｎｇ；Ｔａｎｇ，Ｊｉｎｇｔｉａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＧｅｏｌｏｇｙ，Ｃｅｎｔｒａｌ... 详细信息

ＥＱＵＩＶＡＬＥＮＴＣＩＲＣＵＩＴＯＦＮＯＮＬＩＮＥＡＲＥＦＦＥＣＴＯＦＳＰＥＣＴＲＡＬＩＰ￥Ｈｅ，Ｊｉｓｈａｎ；Ｌｉ，Ｄａｑｉｎｇ；Ｔａｎｇ，Ｊｉｎｇｔｉａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＧｅｏｌｏｇｙ，ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒｓｉｔｙｏｆ...

关键词： spectral IP nonlinear effect equivalent circuit admittance anode/cathode polarizaTion

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Corrosion behavior of Zn-Ni-Al_2O_3 composite coating

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Rare Metals 2006年第z2期25卷 174-178页

作者： ZHENG Huanyu, AN Maozhong, and LU Junfeng department of Applied Chemistry, Harbin Institute of technology, Harbin 150001, China [a]department of Applied Chemistry Harbin Institute of Technology Harbin 150001 China

The corrosion behavior and anti-corrosion mechanism of the Zn-Ni-Al2O3 composite coating were investigated by SEM, EDS and XPS. The results indicate that the corrosion type of the Zn-Ni-Al2O3 coatings in neutral 5 wt.% NaCl solution is uniform corrosion. The presence of compact and uniformly dispersed nano alumina particles substantially inhibits the corrosion of Zn-Ni-Al2O3 composite coatings. In the initial corrosion stage, the corrosive products of Zn-Ni matrix form a compact ZnCl2·4Zn(OH)2 layer. With the development of corrosion, some nano alumina particles are embedded and form a Ni enrichment layer. In Ni enrichment layer, Ni presents as Ni and NiO.

关键词： Zn-Ni nano alumina corrosion composite electrodeposition