Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES》 1998-03
Add to Favorite Get Latest Update

GLOBAL ATTRACTIVITY AND UNIFORM STABILITY FOR A PERTURBED NONAUTONOMOUS LINEAR DELAY DIFFERENTIAL EQUATION

Liu Kaiyu Yu Jianshe ( Dept.of Appl. Math., Hunan University, Changsha 410082) Luo Jiaowan ( Research Dept., Changsha Railway Institute, Changsha 410075)  
This paper studies a perturbed nonautonomous linear delay differential equation. Two cases are considered, one is periodical coefficient in linear term, the other is nonperiodical coefficient in linear term. The sufficient conditions of global attractivity and uniform stability are established.
【Fund】: 国家自然科学基金 湖南省中青年人才基金
【CateGory Index】: O175.21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 5 Hits
1 LIU Xiao-jun,LI Xue-chen (Dep.of Math.Xuchang Teachers’ College,Xuchang 461000,China);The Global Asymptotic Stability of Zero Solution of Nonautonomy Delay Difference Equations[J];Journal of Henan Education Institute;2001-02
2 LI Xue Chen (Xuchang Teachers' College, Xuchang 461000, China);The Global Asymptotic Stability of Zero Solution of Nonlinear Nonautonomous Delay Difference Equtions[J];JOURNAL OF LUOYANG INSTITUTE OF TECHNOLOGY;2000-01
3 LI Peng cheng (Chenghai TV University,Guangdong Chenghai 515800,China) [KH-2D];Periodic Solution for a Class of Duffing Equations with Delay[J];Journal of Sichuan University (Natural Science Edition);2003-02
4 LI Xue chen,MA Guo feng (Xuchang Teachers College,Xuchang 461000,China);A Sufficient Condition and its Applications for the Global Asymptotic Stability of Zero Solution in Nonautonomy Delay Difference Equations[J];Journal of Xuchang Teachers' College(Social Science Edition);2001-02
5 QI Zheng-shen, LI Xue-chen (Xuchang Vocational Technical College,Henan 461000,China);Global Asymptotic Stability for First Order Difference Equations[J];Journal of Information Engineering University;2004-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 QIU Hua-hai,CHEN Si-yang(Department of Mathematics,Shanxi Normal University,Xi′an 710062,China);The asymptotical properties of a predator-prey model with time delay[J];Journal of Anhui University(Natural Sciences);2005-06
2 Chen Hao(Suzhou Teachers College, Suzhou, 234000);The Property of Solution about A Class of Autonomous Functional Differential Equation[J];JOURNAL OF MATHEMATICS FOR TECHNOLOGY;1997-04
3 Shen Jianhua;Yu Jianshe;Wang Zhicheng Dept. of Math., Hunan Normal University, Changsha 410081 Dept. of Appl. Math., Hunan University, Changsha 410082;GLOBAL ATTRACTIVITY IN ONE-DIMENSIONAL NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J];Applied Mathematics A Journal of Chinese Universities;1996-01
4 Lin Zhuangpeng 1,Xu Yuantong 2,Guo Zhiming 2 ( 1 Dept.of Math.,Shenzhen Univ.,Shenzhen\ 518060,China; 2 Dept.of Math.,Zhongshan Univ.,Guangzhou\ 510275,China) \;;PERIODIC SOLUTION FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH PARTIAL DIFFERENCE VARIABLES[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;2000-04
5 ZHANG Ping\|guang,ZHAO Shen\|qi(Dept.of Math.,Zhejiang Univ.,Hangzhou 310027,China) \;;Uniqueness of the limit cycle for a cubic system[J];Applied Mathematics A Journal of Chinese Universities;2003-01
6 DOU Ji\|hong, HUANG Wei ( Dept.of Math.,Northwest Univ.,Xi'an 710069,China) \;;Qualitative analysis of a nonlinear biochemical system[J];Applied Mathematics A Journal of Chinese Universities;2003-02
7 WANG Kan-min, ZHOU Jun(College of Astronautics,Northwestern Polytechnical Univ.,Xi'an 710072,China);;Oscillations of neutral differential equations withmany and variable time delays[J];Applied Mathematics A Journal of Chinese Universities;2004-01
8 ZHANG Yuelian,SHEN Jianhua(Department of Mathematics,Mathematics and Computer Science College,Hunan Normal University,Changsha 410003,China);Comparison Theorem and Application of Uniform Lipschitz Stability for RFDE[J];Journal of Natural Science of Hunan Normal University;2002-04
9 Shen Jianhua (Department of Mathematics,Hunan Normal University,Changsha, 410081)Dai Bingxiang (Department of Applied Mathematics,Hunan University,Changsha,410082);Global Stability Criterion for Nonlinear Delay Difference Equations[J];JOURNAL OF NATURNAL SCIENCE OF HUNAN NORMAL UNIVERSITY;1998-03
10 LIANG Zhi-qing~1, CHEN Lan-sun~2(1.Department of Mathematics and Computer Science,Yulin Normal University, Yulin,Guangxi 537000;2.Institute of Mathematics,Chinese Academy of Science,Beijing 100080);Existence of positive periodic solution of a nonautonomous single species model with three stage structure[J];Journal of Central China Normal University(Natural Sciences);2005-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 LI Peng-cheng(Guangdong Radio & TV University,Guangzhou 510091,China);Periodic Solution for a Class of Duffing Equations with Delay[J];Journal of Changchun Normal University;2007-04
2 LI Peng-cheng,LIN Jin-yu (1.Guangdong Radio & TV University,Guangzhou 510091,China;2.Jieyang Radio & TV University,Jieyang 522000,China);Periodic Solution for a Class of Duffing Equations with Delay[J];Journal of Gansu Lianhe University(Natural Science Edition);2006-01
3 HUANG Ji-zhou(Guangdong Qingyuan Polytechnic College,Qingyuan 511510,China);Sufficient Theorem about Periodic Solution for a Class of Duffing Equations with Delay[J];Journal of Gansu Lianhe University(Natural Science Edition);2006-06
4 CHEN Yue-hong(Department of Computer Science,Guangdong Polytechnic Normal University,Guangzhong 510665,China);Periodic Solutions for a Kind of Delay Duffing Equation with Deviating Argument[J];Journal of Gansu Lianhe University(Natural Science Edition);2007-04
5 LIU Xiao-jun,LI Xue-chen (Dep.of Math.Xuchang Teachers’ College,Xuchang 461000,China);The Global Asymptotic Stability of Zero Solution of Nonautonomy Delay Difference Equations[J];Journal of Henan Education Institute;2001-02
6 ZHU Huan-tao1,LUO Zhi-guo2(1.Hunan College of Information,Changsha 410200,China;2.Mathematics and Computer Science School,Hunan Normal University,Changsha 410081,China);Periodic Solution for a Class of Duffing Equations with Delay[J];Journal of Hunan City University(Natural Science);2006-04
7 YI Mei-xiang1,WU Zhong-huai2(1.Hunan Information College of Technology,Changsha 410200,China;2.Yueyang Vocational and Technical College,Yueyang 414000,China);Periodic solution for a class of duffing equations with delay[J];Journal of Ningbo Polytechnic;2006-02
8 CHEN Xin-yi(China Minorities Information Technology Institute,Northwest University for Nationalities,Lanzhou 730030,Gansu,China);Periodic solution in second order nonlinear functional differential equations[J];Journal of Shandong University(Natural Science);2009-04
9 CHEN Xin-yi(China Minorities Information Technology Institute,Northwest University for Nationalities,Lanzhou 730030,Gansu,China);Periodic solution of the higher order nonlinear differential equation[J];Journal of Shandong University(Natural Science);2009-10
10 QI Zheng-shen, LI Xue-chen (Xuchang Vocational Technical College,Henan 461000,China);Global Asymptotic Stability for First Order Difference Equations[J];Journal of Information Engineering University;2004-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved