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《Journal of Nanjing Institute of Meteorology》 2004-06
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Existence of Periodic Solution to a Forced Liénard Equation

ZOU Lan-jun,ZHOU Wei-can,ZHU Li-hua(Department of Mathematics,NUIST,Nanjing210044,China)  
To a forced Liénard equation discussed in this paper,the estimates of the periodic solution are given by using the norm estimate in the Sobolev space,then by virtue of the variation principle and Schauder's fixed point theorem,the existence of the periodic solution is proved.
【Fund】: 国家重点基础研究发展规划项目(G1998040907)
【CateGory Index】: O175.1
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【References】
Chinese Journal Full-text Database 1 Hits
1 XU Min,ZHOU Wei-can(Jiangsu Key Laboratory of Meteorological Disaster,NUIST,Nanjing 210044,China);On the Existence of Periodic Solution for a kind of Duffing Equation with Damping[J];Journal of Nanjing Institute of Meteorology;2007-04
【Co-citations】
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1 Zhao Ruixing(Meteorological Bureau, Headquarters of the General Staff Chinese People's Liberation Army, Beijing 100081);The Nonlinear Problem of Symmetric Instability and the Periodic Solution of Symmetric Inertia-Gravitational Wave[J];Chinese Journal of Atmospheric Sciences;1994-04
2 WANG Yi-jie (Mathematics Department of Minjiang University, Fuzhou, Fujian 350108, China);The Exsistence of Periodic Solution for Second Order Nonlinear Duffing Equation[J];Journal of Minjiang University;2006-05
3 QIN Fa jin (Department of Mathematics,Liuzhou Teachers College, Guangxi Liuzhou\ 545003,China);Existence and uniqueness of almost periodic solutions to the retarded Liénard equation[J];Journal of Guangxi Institute of Technology;2001-02
4 Feng Chunhua (Dept of Math & Comp. Sci Guangxi Normal Univ 3 Yucailu, Guilin, Guangxi, 541004,China);On the Existence and Uniqueness of Almost Periodic Solutions for Some Nonlinear Second Order Differential Equations[J];GUANGXI SCIENCES;1999-04
5 Feng Chunhua (Math & Comp Sci College,Guangxi Normal University,3 Yucailu,Guilin,Guangxi,541004,China);On the Existence and Uniqueness of Almost Periodic Solutions for Some Retarded Differential Equations[J];Guangxi Sciences;2002-02
6 Yang Xitao ( Xiangtan Institute of Technology, Xiangtan, 411201 );The Existence of Almost Periodic Solution on a Kind of Lienard Equations[J];Journal of Guangxi University;1998-02
7 LI Li-jie1,YANG Qi-gui2(1-Department of Mathematics,Guangxi Normal University,Guilin 541004;2-School of Mathematical Sciences,South China University of Technology,GuangZhou 510640);Almost Periodic Solutions for a Class of Forced Liénard Equations[J];Chinese Journal of Engineering Mathematics;2008-04
8 ZHANG Zi\|fang, JIANG Jian\|jun, FU Ying\|gui, LIN Jun, SU Ying(Southwest University of Science and Technology, Mianyang 621002, China);Existence of almost periodic solutions for a class of pendular equations[J];Journal of Zhejiang University(Sciences Edition);2001-04
9 ZHOU Wei-can~1,ZOU Lan-jun~2(1.Department of Mathematics;2.China-America Cooperative Remote Sensing Center,NUIST,Nanjing 210044,China);Existence of Periodic Solution to Liénard Type Equation[J];Journal of Nanjing Institute of Meteorology;2005-05
【Co-references】
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1 LIU Wei,CAI Zhi-zhou (School of Economics, Peking University, Beijing 100871, China);Economic Cycle and Macro-Control[J];Journal of Peking University(Humanities and Social Sciences);2005-02
2 LI Ze-rong(Fujian Electric Vocational and Technical College,Quanzhou362000, China);Existence of Periodic Solution for A Class of Duffing Differential Equation[J];Journal of Shanghai Institute & Electric Power;2004-04
3 WU Qing sheng,ZHANG Xin fu,CAI Lai xing (School of Management,Shanghai Jiaotong University,Shanghai 200052,China);A Study of Chaotic Means to Suppress Finance Crisis[J];Systems Engineering;2001-02
4 Xu Jian Lu Qishao (Key Labs of Solid Mechanics of MEC, Department of Mechanics, Tongji University, Shanghai 200092, China) (Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China);BIFURCATIONS AND CHAOS DUE TO TIME DELAY IN A DELAYED CONTROL NON-AUTONOMOUS SYSTEM[J];Acta Mechanica Sinica;2003-04
5 ZHOU Wei-can~1,ZOU Lan-jun~2(1.Department of Mathematics;2.China-America Cooperative Remote Sensing Center,NUIST,Nanjing 210044,China);Existence of Periodic Solution to Liénard Type Equation[J];Journal of Nanjing Institute of Meteorology;2005-05
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1 ZHANG Jie,QIAN Yu-jin,ZHOU Wei-can(College of Mathematics& Physics,NUIST,Nanjing Jiangsu 210044,China);On Existence of Periodic Solutions of a Class of Nonlinear Duffing Equations with Damping[J];Journal of Fuyang Teachers College(Natural Science);2008-03
【Secondary Citations】
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1 Liu Shida, Chen Jiayi, Liu Shikuo, Wang Shufang (Department of Geophysics, Peking University);THE CLASSIFICATION OF A FAMILY OF STRATIFIED SHEAR FLOW AND SOME RELEVANT NONLINEAR SOLUTION[J];Acta Mechanica Sinica;1984-02
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