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Further results on existence-uniqueness for stochastic functional differential equations

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Science China Mathematics 2013年第6期56卷 1169-1180页

作者： xu daoyi WANG XiaoHu YANG ZhiGuo Yangtze Center of Mathematics Sichuan University College of Mathematics and Software Science Sichuan Normal University

The aim of this paper is to develop some basic theories of stochastic functional differential equations (SFDEs) under the local Lipschitz condition in continuous functions space C. Firstly, we establish a global existence-uniqueness lemma for the SFDEs under the global Lipschitz condition in C without the linear growth condition. Then, under the local Lipschitz condition in C, we show that the non-continuable solution of SFDEs still exists if the drift coefficient and diffusion coefficient are square-integrable with respect to t when the state variable equals zero. And the solution of the considered equation must either explode at the end of the maximum existing interval or exist globally. Furthermore, some more general sufficient conditions for the global existence-uniqueness are obtained. Our conditions obtained in this paper are much weaker than some existing results. For example, we need neither the linear growth condition nor the continuous condition on the time t. Two examples are provided to show the effectiveness of the theoretical results.

关键词： stochastic functional differential equations existence uniqueness

Some Evidence for a Possible Extraterrestrial Event at/near Permian-Triassic Boundary

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Journal of China University of Geosciences 2002年第2期13卷 151-156页

作者： xu daoyi Institute of Geology, China Seismological Bureau, Beijing 100029 Institute of Geology China Seismological Bureau Beijing 100029

A selection of evidence, including a carbon isotopic excursion, iridium anomaly, fullerenes (C 60 and C 70 ) with trapped noble gases, microspherules and shocked quartz, is discussed in this paper. All the evidence in hand favors the hypothesis that the PTB event was probably related to an extraterrestrial cause, and the impact would lead to great physical change, including large volcanic eruptions on the earth's surface. The ET markers for the CTB event could be considered only as an example, and cannot be taken as a unique standard of an ET event.

关键词： Permian Triassic boundary extraterrestrial event iridium anomaly carbon isotopic excursion.

强光照温和稻区不同丢秧密度对野香优莉丝产量的影响

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耕作与栽培 2024年第3期44卷 113-114页

作者：李林江徐道艺李龙珠刘洪梅曾涛兴义市农业技术推广中心贵州兴义562400 贵州省农作物技术推广总站贵阳550001

为探索黔西南州强光照温和稻区野香优莉丝适宜的丢秧密度,在兴义市开展了5个不同密度的试验研究。结果表明,丢秧密度1.4万穴/667 m^(2)产量最高,达608.92 kg/667 m^(2),其次是密度1.6万穴/667 m^(2)和1.2万穴/667 m^(2),产量分别为597.3... 详细信息

为探索黔西南州强光照温和稻区野香优莉丝适宜的丢秧密度,在兴义市开展了5个不同密度的试验研究。结果表明,丢秧密度1.4万穴/667 m^(2)产量最高,达608.92 kg/667 m^(2),其次是密度1.6万穴/667 m^(2)和1.2万穴/667 m^(2),产量分别为597.36 kg/667 m^(2)、580.3 kg/667 m^(2),与密度1.4万穴/667 m^(2)差异不显著,密度1万穴/667 m^(2)和1.8万穴/667 m^(2)产量显著低于1.4万穴/667 m^(2)。综上,在黔西南州强光照温和稻区及相似生态区域,建议丢秧密度1.2万~1.6万穴/667 m^(2)。

关键词：野香优莉丝钵苗丢秧密度产量

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DISSIPATIVITY BEHAVIOR OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2007年第4期23卷 558-563页

作者： Yang Zhichun xu daoyi Dept. of Math. Chongqing Normal University Chongqing 400047 Institute of Systems Science Chinese Academy of Sciences Beijing 100080 Yangtze Center of Math. Sichuan University Chengdu 610064

In this paper, we investigate the dissipativity behavior and give the range estimate for solutions of impulsive functional differential equations. Also, some criteria on asymptotical stability and exponential stabilit... 详细信息

关键词： asymptotic behavior dissipativity stability impulsive differential equations

Self-organized ordering of earthquakes(M≥8) in China's Mainland

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Engineering Sciences 2010年第4期8卷 13-17页

作者： xu daoyi Men Kepei Deng Zhihui Institute of Geology China Earthquake Administration Beijing 100029 China College of Mathematics ＆ Physics Nanjing University of Information Science ＆ Technology Nanjing 210044 China

The paper presented a new regular pattern （network structure ） of great earthquakes occurred in China's Mainland during the past 700 years, which may be helpful to improve the understanding of great earthquakes and can serve as a base for the study of prediction of future great earthquakes. It can be done because there are quite complete and confident records of historical and recent earthquakes in a wide extent in China.

关键词： China's Mainland great earthquake self-organized ordering network structure constrained generating procedures (CGP)

MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM

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Annals of Differential Equations 2007年第4期23卷 484-491页

作者： Qin Fajin Deng Jin xu daoyi Mathematical College Sichuan University Chengdu 610064 Dept. of Math. ＆ Comput. Sci. Liuzhou Teachers College Liuzhou 545004 Guangxi

The existence of the multiple positive periodic solutions to a delayed statedependent predator-prey system with non-monotonic functional response is considered. Using the continuation theorem based on Mawhin＇s coinci... 详细信息

关键词： state-dependent delay predator-prey system multiple positive periodic solution coincidence degree

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非线性时滞摄动系统的H_∞鲁棒控制

控制理论与应用 2000年第4期17卷 601-603页

作者：蒲志林徐道义四川大学数学系成都610064

研究具有时滞的非线性不确定性系统的H∞ 鲁棒控制问题 .基于代数Riccati方程的正定解设计出状态反馈控制器使得闭环系统满足相应的H∞ 鲁棒性能准则 .

关键词：不确定性非线性时滞摄动系统 H∞鲁棒控制

EXISTENCE AND MOMENT ESTIMATES FOR SOLUTIONS TO NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2014年第1期30卷 62-84页

作者： daoyi xu Bing Li Shujun Long Lingying Teng Weisong Zhou Yangtze Center of Math. Sichuan University College of Science Chongqing Jiaotong University College of Math.and Information Science Leshan Normal University College of Computer Science and Tech. Southwest University for Nationalities

In this paper, we show the existence and uniqueness of solutions to a large class of SFDEs with the generalized local Lipschitzian coefficients. Some moment estima- tes of the solutions are given by establishing new Ito operator inequalities based on the Razumikhin technique. These estimates improve, extend and unify some related results including exponential stability of Mao （1997） [20], decay stability of Wu et al. （2010,2011） [32,33], Pavlovic et al. （2012） [24], asymptotic behavior of Luo et al. （2011） [18] and Song et al. （2013） [26]. Moreover, stochastic version of Wintner theorem in continuous space is established by the comparison principle, which improve and extend the main results of xu et al. （2008 [39], 2013 [36]）. When the methods presented are applied to the SFDEs with impulses and SFDEs in Hilbert spaces, we extend the related results of Govindana et al. （2013） [7], Liu et al. （2007） [15], Vinod- kumar （2010） [29] and xu et al. （2012） [35]. Two examples are provided to illustrate the effectiveness of our results.

关键词： stochastic functional differential equations existence and uniqueness stochastic differential inequalities stability impulses equations in Hilbert spaces

THE RELATIONS OF Mw9.0 EARTHQUAKE IN JAPAN TO OTHER GREAT SHOCKS IN ASIA AND THEIR INTERPRETATIONS

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THE RELATIONS OF Mw9.0 EARTHQUAKE IN JAPAN TO OTHER GREAT SH...