Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《微分方程年刊(英文版)》 2014-01
Add to Favorite Get Latest Update

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

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 estimates of the solutions are given by establishing new It?o 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],Vinodkumar(2010) [29] and Xu et al.(2012) [35].Two examples are provided to illustrate the effectiveness of our results.
【Fund】: supported by National Natural Science Foundation of China under Grant 11271270;; Fundamental Research Funds for the Central Universities under Grant 13NZYBS07
【CateGory Index】: O211.63
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 1 Hits
1 XU DaoYi 1 , WANG XiaoHu 1 & YANG ZhiGuo 2, 1 Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China; 2 College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China;Further results on existence-uniqueness for stochastic functional differential equations[J];中国科学:数学(英文版);2013-06
【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 Rong Cheng YIN;Fu Ke WU;Shi Geng HU;School of Mathematical Sciences,Nanjing Normal University;School of Mathematics and Statistics,Huazhong University of Science and Technology;;A Class of Stochastic Diferential Equations with the Time Average[J];数学学报(英文版);2014-03
2 LI Hong-kui;WU Yu-qiang;Institute of Automation,Qufu Normal University;;Stabilization and robust stability for impulsive stochastic systems based on MINC[J];Control and Decision;2013-10
3 Pan Tetie;Shi Bao;Yang Shujie;Zhang Qiang;Institute of System Science and Mathematics,Naval Aeronautical and Astronautical University;;Stability Analysis of Stochastic BAM-type Cohen-Grossberg Neural Networks with Delays and Impulses[J];Acta Mathematica Scientia;2013-05
4 LI Ya-jun;Department of Electronics and Information Engineering,Shunde Polytechnic;;Stability Analysis of a Class of Discrete Stochastic Systems with Time-delays[J];Journal of Shunde Polytechnic;2013-04
5 Yu ZHANG·Jitao SUN Department of Mathematics,Tongji University,Shanghai 200092,China.;STABILITY OF IMPULSIVE LINEAR HYBRID SYSTEMS WITH TIME DELAY[J];系统科学与复杂性学报(英文版);2010-04
6 XU Congcong;Institute of Information Technology, Nanjing University of Chinese Medicine;;Exponential Stability of Impulsive Stochastic Recurrent Neural Networks with Time-Varying Delays and Markovian Jumping[J];武汉大学自然科学学报(英文版);2014-01
7 Xiaojing Zhong;Feiqi Deng;College of Automation Science and Engineering,South China University of Technology;;Asymptotic and stable properties of general stochastic functional differential equations[J];系统工程与电子技术(英文版);2014-01
8 ZHANG Wei-wei;Weifang University;;Exponential Stability in the Mean Square of a Class of Stochastic Differential Equations with Delays[J];Journal of Weifang University;2013-04
China Proceedings of conference Full-text Database 3 Hits
1 Jianping Zhou Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China School of Computer Science, Anhui University of Technology, Ma’anshan 243002, China Hao Shen School of Electrical Engineering & Information, Anhui University of Technology, Ma’anshan 243002, China Zhen Wang College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510,China;Synchronization of Delayed Reaction-diffusion Neural Networks with Markovian Jumping Parameters[A];[C];2012
2 Wu-Hua Chen 1,2 , Chenghai Wei 1 , Xiaomei Lu 1 1. College of Mathematics and Information Science, Guangxi University, Nanning, 5300042. Guangxi Key Laboratory of Power System Optimization and Energy Technology, Guangxi University, Nanning, 530004;Mean Square Exponential Stability of Uncertain Linear Impulsive Stochastic Systems with Markovian Switching[A];[C];2013
3 Wang Ronghao 1 , Qian Zhigen 2 , Xing Jianchun 1 , Wang Ping 1 , Yang Qiliang 1 1. College of Defense Engineering, PLA University of Science and Technology, Nanjing 2100072. PLA Academy of National Defense Information, Wuhan, 430010;Finite-time Reliable Stabilization for Switched Stochastic Systems Under Asynchronous Switching[A];[C];2013
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved