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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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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 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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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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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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