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《Journal of Shenyang Institute of Aeronautcal Engineering》 2001-01
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A Nonlinear Differential Equation Limit Cycles Existence of Exact"2" and "n

ZHANG Xi-fan SHAN Feng  
This paper gives a theorem of sufficient condition for diffevential equations =φ(y)- F(x) =-g(x) just existing n limit cycles. The discussion is conducted under more extensive conditions- F(x) is n -order quasi-odd differentiable function. The conditions given by the theorem present more sufficiently physical meaning of practical background for existence of n limit cycles′s differential equations.
【CateGory Index】: O175.14
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【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 Chen Xiudong;LIENARD'S EQUATION WITH SUFFICIENT CONDITIONS AND CONSTRUCTION METHOD OF AT LEAST N LIMIT CYCLES[J];Journal of Northeast Normal University;1983-01
2 Sun Lihua,Chen Xiudong (Department of Applied Mathematics)(Institute of Applied Mathematics);Calculating and Analysing Limit Cycles of Liénard's Equation for Use in Electronic Computer[J];;1986-S1
3 Chen Chaoyi ( Department of Mathematics );On the Existnce of Exact N Limit Cycles for the Liénard's Type Differential Equation[J];Journal of Fujian Normal University(Natural Science Edition);1990-01
4 CHEN Xiu-dong, CHEN Yong (Dept. of Appl. Math. , Dalian University of Technology, Liaoning 116024, China);A Sufficient Condition for Lienard's Equation Existing at Most n Limit Cycles[J];Journal of Mathematical Research and Exposition;2003-02
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Zhang Zhifen Department of Mathematics;On the Existence of at Least n Limit Cycles in one Type of Nonlinear Differential Equations[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1982-01
2 Zhang Zhifen (Department of Mathematics, Peking University)Gao Suzhi (Beijing Normal University);On the Uniqueness of Limit Cycle of One Type of Nonlinear Differential Equations[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1986-01
3 ZHOU YURONG(Shangdong Minging Industry College);EXISTENCE AND UNIQUENESS OF LIMITING CYCLE OF EQUATIONS =φ(y)-F(x), =-g(x), AND ITS EXISTENCE OF TWO AND ONLY TWO LIMITING CYCLE[J];Chinese Annals of Mathematics,series A;1982-01
4 Zeng Xian-Wu(Donghu Middle School,Wuhan);AN EXISTENCE AND UNIQUENESS THEOREM OF LIMIT CYCLES OF LINARD EQUATION[J];Acta Mathematica Sinica;1978-03
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