Full-Text Search：
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Heilongjiang Institute of Science and Technology》 2007-05
Add to Favorite Get Latest Update

Existence of periodic solutions for a kind Duffing differential equations

ZHANG Yan(Department of Mathematics,China University of Mining and Technology,Xuzhou 221008,China)  
This paper gives some sufficient conditions for the existence of 2π-periodic solutions for a kind of Duffing equations by the methods of fixed point theories and inequation analysis.The paper discusses the extent of T estimated with the analysis of coordinate transformation.
【CateGory Index】： O175
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 1 Hits
1 JIANG Xiao-jun1,NIU Xiu-yan2,WANG Jing2,ZHENG Guo-ping2,DI Cong-na2(1.Academic Administration of Beijing Union University,Beijing 100101,China; 2.Mathematics and Information College of HeBei Normal University of Science and Technology,HeBei 066004,China);Using Cone Fixed Point Theorem to Study the Positive Periodic Solution for a Differential Equation with Distributed Delay[J];Journal of Minzu University of China(Natural Sciences Edition);2011-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HUANG Ji-zhou(Guangdong Qingyuan Polytechnic,Qingyuan 511510,China);On Existence of Periodic Solution for Some Duffing Equations with Elastic Term of the Limitation[J];Journal of Changchun Normal University;2007-08
2 XIANG Zhao hong(Department of Mathematics and Computer,Changsha University,Changsha 410003,China);The existence of periodic solutions of the second order differential equations[J];Journal of Foshan University(Natural Science Edition);2001-03
3 LI Wei guo (Dept.of Applied Math.,University of Petroleum,Dongying 257062);One Class of Second Order Linear Gronwall Inequalities and Their Applications[J];Chinese Journal of Engineering Mathematics;2000-04
4 WEI Lan-ge (Department of Mathematics and Computer,Baoding Normal College,Hebei Baoding 071051,China);Study on Periodic Solutions to Some Duffing Equation[J];;2002-01
5 LIU Ying(Institute of Educational Science,Harbin University,Harbin 150080,China);Existence of the Periodic Solutions for Liénard Equations with Distributed Delays[J];Journal of Harbin University of Science and Technology;2009-02
6 LIU Ying1,ZHU Hong-wei2(1.School of Educational Science,Harbin College,Harbin 150080,China;2.School of Mathematical Science,Qingdao University,Qingdao 266071,China);Study on periodic solutions of second-order functional differential equations with distributed delays[J];Journal of Harbin University of Commerce(Natural Sciences Edition);2009-01
7 ZHANG Zheng qiu , LIU Kai yu (Dept of Applied Mathematics,Hunan Univ,Changsha 410082,China);The Existence of Periodic Solutions of the Second Order Differential Equations[J];JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCE);2000-01
8 DING TONGREN Peking University;NONLINEAR OSCILLATIONS AT A POINT OF RESONANCE[J];中国科学A辑(英文版);1982-09
9 QIAN DingbianDepartment of Mathematics, Suzhou University, Suzhou 215006, China;Resonance phenomena for asymmetric weakly nonlinear oscillator[J];中国科学A辑(英文版);2002-02
10 LIU Bin LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,China;Quasi-periodic solutions of a semilinear Li(?)nard equation at resonance[J];中国科学A辑(英文版);2005-09
【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 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);Existence and Uniqueness Theorems About Periodic Solution of Duffing Equations with Delay[J];Pure and Applied Mathematics;2005-02
4 WANG Zhan-shan,ZHANG Hua-guang,L Hua (School of Information Science & Engineering,Northeastern University,Shenyang 110004,China.;Globally Asymptotical Stability of a Class of Delayed Neural Networks[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2006-02
5 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
6 WEI Lan-ge (Department of Mathematics and Computer,Baoding Normal College,Hebei Baoding 071051,China);Study on Periodic Solutions to Some Duffing Equation[J];;2002-01
7 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
8 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
9 Xu Qing(Department of Mathematics,Jilin University);Solving 2π-Periodic Solution of Duffing's Equation with Homotopy Continuation Method[J];Journal of Jilin University;1990-03
10 Lu Xiguan(Departnient of Mathematics,Jilin University,Changchun,130023)Yang Kuiyuan(Department of Mathematics, Hezuo Normal College,Xiahe,747000);Perodic Solutions of Class of Nonlinear Ordinary Differential Equations[J];ACTA SCIENTIARIUM NATURALIUM UNIVERSITATIS JILINENSIS;1995-02
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 HE Zhao-xia;LIU Kai;Yangtze University College of Technology & Engineering;;Study on Image De-noise Based on Duffing Stochastic Resonance[J];Science Technology and Engineering;2013-26
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved