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《Pure and Applied Mathematics》 2005-02
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Existence and Uniqueness Theorems About Periodic Solution of Duffing Equations with Delay

TANG Mei-lan1, LIU Xin-ge1, GUO Shui-xia2 (1.School of Mathematical Sciences and Computing Technology, Central South University,Changsha 410083,China; 2.Science College,Hunan Normal University,Changsha 410081,China)  
In this paper,with the theory of trigonometrical series and contraction mapping principle,some sufficient conditions for the existence and uniqueness of periodic solution to Duffing equation ax″+bx+g(x(t~τ))=p(t) are obtained.
【Fund】: 国家科技部973项目基金资助(1999064911).
【CateGory Index】: O175.1
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Chinese Journal Full-text Database 2 Hits
1 YAN Xu-dong,YANG Tao,XU Guo-wang(School of Sciences,Hubei University of Technology,Wuhan 430068,China);Existence of Periodic Solution For the Third Order Delay Duffing Equation[J];Journal of Hubei University of Technology;2010-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Chun-lin, LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Periodic Solutions to a Kind of Liénard Equation with a Deviating Argument[J];Journal of Anhui Normal University(Natural Science);2006-04
2 SHANG Mei,LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University, Wuhu 241003,China);Periodic Solutions for a Kind of Duffing Equation with a Delay[J];Journal of Anhui Normal University(Natural Science);2007-04
3 HUANG Jin,LU Shi-ping (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Periodic Solutions to a Type of Rayleigh Equation with Complex Deviating Argument[J];Journal of Anhui Normal University(Natural Science);2008-05
4 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
5 ZHAO Jia-wei,ZHAI Yan-hui (School of Science,Tianjin Polytechnic University,Tianjin 300160,China);The Existence of Periodic Solution of a Duffing Equation with Delay[J];Journal of Changchun Normal University(Natural Science);2008-08
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9 LIN Wen-xian (Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China);Existence of periodic solution for certain functional differential equation[J];Pure and Applied Mathematics;2008-01
10 GAO Hong~1, TANG Mei-lan~2, LIU Xin-ge~2 (1.Hunan College of Information,Changsha 410200,China;2.School of Mathematical Sciences and Computing Technology, Central South University,Changsha 410083,China);Periodic Solution for a Class of Duffing Equations[J];Journal of Changsha University of Electric Power(Natural Science);2004-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 SHANG Mei,LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University, Wuhu 241003,China);Periodic Solutions for a Kind of Duffing Equation with a Delay[J];Journal of Anhui Normal University(Natural Science);2007-04
2 HU Yan-fei,ZHAO Xue-ping,QIN Shu-hong(College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China);Analysis on the Influence of the Phase-State of Chaotic System in Duffing Equation by Complicated Stimulating Force Item[J];Journal of Jiling University (Earth Science Edition);2005-06
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 YANG Guo-hai,XIA Qing-hua(Department of Physics & Electronic Information,Xiangfan University,Xiangfan 441053,China);The stability of multi-value syntony solution of zero damping Duffing equation[J];Journal of Hubei University(Natural Science);2008-01
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 HUANG XIAN-KAI (Beijing Institute of Technology);2π-PERIODIC SOLUTIONS OF CONSERVATIVE SYSTEMS WITH A DEVIATING ARGUMENT[J];;1989-04
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