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PERIODIC SOLUTIONS TO A KIND OF SECOND ORDER NEUTRAL LINARD EQUATIONS WITH A DEVIATING ARGUMENT 被引量:2
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作者 Lu Shiping, Wang Yigao (College of Math. and Physics, Nanjing University of Information and Technology, Nanjing 210044) 《Annals of Differential Equations》 2009年第1期-,共8页
By means of continuation theorem of coincidence degree theory, some new results on the nonexistence, existence and uniqueness of T-periodic solutions to a kind of second order neutral Linard equations with a deviating... By means of continuation theorem of coincidence degree theory, some new results on the nonexistence, existence and uniqueness of T-periodic solutions to a kind of second order neutral Linard equations with a deviating argument are obtained. 展开更多
关键词 neutral linard equation periodic solutions continuation theorem
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LIMIT CYCLES OF A GENERALIZED LINARD DIFFERENTIAL EQUATION VIA AVERAGING THEORY
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作者 Sabrina Badi Amar Makhlouf 《Annals of Differential Equations》 2011年第4期472-479,共8页
In this paper,by a coincidence degree theory,the existence of periodic solutions to a Linard equation with multiple delays is established,which substantially extends some results in the previous literatures.
关键词 coincidence degree theory periodic solutions linard equation mul-tiple delays
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EXISTENCE OF PERIODIC SOLUTIONS TO A LINARD EQUATION WITH MULTIPLE DELAYS
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作者 Ming Jia(College of International Exchange,Central South University of Forestry and Technology,Changsha 410004) Jianhua Shen(College of Science,Hangzhou Normal University,Hangzhou 310036) 《Annals of Differential Equations》 2011年第3期331-335,共5页
In this paper,by a coincidence degree theory,the existence of periodic solutions to a Linard equation with multiple delays is established,which substantially extends some results in the previous literatures.
关键词 coincidence degree theory periodic solutions linard equation mul-tiple delays
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LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL EQUATION
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《Annals of Differential Equations》 2012年第2期127-131,共5页
We investigate the generalized polynomial Linard differential equations. Using the averaging theory of first and second order, we obtain the maximum number of limit cycles of the system.
关键词 limit cycles linard equation averaging theory
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具多个奇点Lienard型方程极限环的存在唯一性 被引量:1
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作者 杨启贵 刘纪显 《云南工业大学学报》 1996年第3期88-93,共6页
本文研究具有多个奇点的Lienard型系统x+x)+k(x)x)x+g(x)=0的存在唯一性,得到了此系统包围多个奇点的存在或极限环唯一的充分条件.这些条件不仅较简单和易于验证,而且推广和改进了[8,11]结果.
关键词 极限环 存在性 唯一性 奇点 林纳方程
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EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION TO A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION
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作者 Huiqin Xie (College of Math. and Computer Science, Fuzhou University, Fuzhou 350108) 《Annals of Differential Equations》 2010年第4期457-464,共8页
In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed poin... In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure. 展开更多
关键词 linard equation almost periodic solution contraction mapping principle
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