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《Journal of Zhengzhou University(Natural Science Edition)》 2008-01
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Existence of Periodic Solutions for a Kind of High Order Liénard Equations

WANG Yi-gao,LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
Existence of periodic solutions for a kind of high order Liénard equations x(n)(t)+f(x(t))x′(t)+g(x(t-τ(t,x(t))))=p(t) is studied,and some new results are obtained.The known results in the literature are improved.The result shows the influence of the lag on the existence of periodic solutions.
【Fund】: 国家自然科学基金资助项目 编号10371006;; 安徽省自然科学基金资助项目 编号050460103;; 安徽省教育厅重点基金资助项目 编号2005kj031ZD
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Xiao-ming(Department of Mathematics and Computer,Shangrao Normal College,Shangrao 334001,Jiangxi);The Existence of Mather Sets in a Class of Duffing Equations with a Bounded Restore Force[J];Journal of Sichuan Normal University(Natural Science);2009-06
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【Co-citations】
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1 LIU Xi-ping,JIA Mei(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Periodic solutions for second order neutral functional differential equation with complex deviating argumen[J];Pure and Applied Mathematics;2006-01
2 CHEN Shi-zhou(Mathematics and information technical college,Hanshan Teacher′s College,Chaozhou,521041,China);Existence of periodic solutions for higher order functional differential equation[J];Pure and Applied Mathematics;2006-01
3 SHANG Mei,LU Shi-ping(Anhui Normal University,Wuhu 241000,China);Periodic Solutions For A Kind of Duffing Equation With A Deviating Argument[J];Journal of Fuyang Teachers College(Natural Sciences);2006-03
4 LIU Xi-ping, JIA Mei ( College of Science,University of Shanghai for Science and Technology,Shanghai 200093);Periodic Solutions to a Type of Lienard Equation with Complex Deviating Arguments[J];Chinese Journal of Engineering Mathematics;2005-02
5 LIN Wen-xian (College of Mathematics and Information Technology, HanShan Normal University, Chaozhou 521041 );Existence Theorems of Periodic Solution for a Class of High Order Liénard Equation with Delay[J];Chinese Journal of Engineering Mathematics;2005-04
6 QIN Fa-jin,YAO Xiao-jie(Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou Guangxi 545004);Periodic Solutions to a Class of High Order Liénard-type Equations with Deviating Variables[J];Chinese Journal of Engineering Mathematics;2008-04
7 LIN Wenxian(Dept. of Math., Hanshan Teacher's College, Chaozhou, Guangdong 521041);Periodic Solutions of a Class Liénard Equation with Delay[J];Journal of Mathematics For Technology;2002-03
8 YAO Xiao-jie,QIN Fa-jin(Dept of Mathematics and Computer Science,Liuzhou Teachers' College, Liuzhou 545004,China);The Existence of Periodic Solutions of Certain High Order Lienard Equation with Deviating Argument[J];Journal of Gansu Sciences;2007-02
9 DENG Chun-hong1,FENG Chun-hua2(1.Department of Mathematics and Computer Science,Hunan University of Sciences and Engineering,Yongzhou,Hunan,425006,China;2.College of Mathematics and Computer Science,Guangxi Normal University,Guilin,Guangxi,541004,China);Existence of Periodic Solutions for a Class of Differential Equations with Continuous and Discrete Delays[J];Guangxi Sciences;2009-01
10 LIU Bing-wen College of Math.and Inform.Eng.,Jiaxing Univ.,Jiaxing 314001,China.;Existence and uniqueness of periodic solutions for forced Liénard-type equations[J];高校应用数学学报B辑(英文版);2008-03
【Co-references】
Chinese Journal Full-text Database 6 Hits
1 PAN Rong,FENG Chun-hua(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Periodic Solutions of Predator-prey Systems with Distributed Delays[J];Journal of Guangxi Normal University(Natural Science Edition);2008-03
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3 TANG Yu ping (Department of Mathematics, Daxian Teacher's College, Dazhou 635000, Sichuan);Existence of the Quasi-periodic Solutions of Second Order Ordinary Differential Equations[J];Journal of Sichuan Normal University(Natural Science);2002-04
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5 YU Yong(Department of Computer Science,Panzhihua College,Panzhihua 617000,Sichuan);The Existence of Almost Periodic Solution of a Cyclic Predator-prey System with Functional Response[J];Journal of Sichuan Normal University(Natural Science);2008-05
6 Xiao Ming WANG Department of Mathematics,Shangrao Normal University,Shangrao 334001,P.R.China;Aubry-Mather Sets for Semilinear Duffing Equations[J];Acta Mathematica Sinica;2009-03
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