Boundedness and periodicity of solutions of the generalized liénard equation

W. R. Utz

doi:10.1007/bf02411883

Boundedness and periodicity of solutions of the generalized liénard equation

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf02411883 ◽

1956 ◽

Vol 42 (1) ◽

pp. 313-324 ◽

Cited By ~ 12

Author(s):

W. R. Utz

Keyword(s):

Liénard Equation ◽

Generalized Liénard Equation ◽

Lienard Equation

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Positive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity

Boundary Value Problems ◽

10.1186/s13661-020-01388-3 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Yun Xin ◽

Zhibo Cheng

Keyword(s):

Periodic Solution ◽

Mean Curvature ◽

Positive Periodic Solution ◽

Liénard Equation ◽

Prescribed Mean Curvature ◽

Generalized Liénard Equation ◽

Lienard Equation

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On the global attraction for the generalized Liénard equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.07.056 ◽

2007 ◽

Vol 329 (2) ◽

pp. 1118-1126 ◽

Cited By ~ 1

Author(s):

Liqin Zhao

Keyword(s):

Liénard Equation ◽

Global Attraction ◽

Generalized Liénard Equation ◽

Lienard Equation

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On a boundedness condition for solutions of a generalized Liénard equation

Journal of Differential Equations ◽

10.1016/0022-0396(86)90038-0 ◽

1986 ◽

Vol 65 (2) ◽

pp. 269-286 ◽

Cited By ~ 11

Author(s):

Junji Kato

Keyword(s):

Liénard Equation ◽

Boundedness Condition ◽

Generalized Liénard Equation ◽

Lienard Equation

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Ultimate boundedness of solutions for a generalized Liénard equation with forcing term

Tohoku Mathematical Journal ◽

10.2748/tmj/1178225713 ◽

1994 ◽

Vol 46 (3) ◽

pp. 295-310 ◽

Cited By ~ 2

Author(s):

Fumio Nakajima

Keyword(s):

Liénard Equation ◽

Boundedness Of Solutions ◽

Ultimate Boundedness ◽

Forcing Term ◽

Generalized Liénard Equation ◽

Lienard Equation

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Hopf Bifurcation in Numerical Approximation for The generalized Lienard Equation with Finite Delay

TELKOMNIKA Indonesian Journal of Electrical Engineering ◽

10.11591/telkomnika.v14i1.7461 ◽

2015 ◽

Vol 14 (1) ◽

Author(s):

Guangyu Zhao ◽

Yanchun Li

Keyword(s):

Hopf Bifurcation ◽

Numerical Approximation ◽

Liénard Equation ◽

Finite Delay ◽

Generalized Liénard Equation ◽

Lienard Equation

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A note on periodic solutions of a nonautonomous generalized Liénard equation

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01759375 ◽

1998 ◽

Vol 174 (1) ◽

pp. 277-284

Author(s):

Pierpaolo Omari ◽

Maurizio Trombetta

Keyword(s):

Periodic Solutions ◽

Liénard Equation ◽

Generalized Liénard Equation ◽

Lienard Equation

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On the generalized Liénard equation with negative damping

Journal of Differential Equations ◽

10.1016/0022-0396(72)90004-6 ◽

1972 ◽

Vol 12 (1) ◽

pp. 34-62 ◽

Cited By ~ 69

Author(s):

John R. Graef

Keyword(s):

Liénard Equation ◽

Generalized Liénard Equation ◽

Negative Damping ◽

Lienard Equation

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Exact solutions for the GKdV–mKdV equation with higher-order nonlinear terms using the generalized $$\left( \frac{G^{\prime }}{G},\frac{1}{ G}\right) $$-expansion method and the generalized Liénard equation

Ricerche di Matematica ◽

10.1007/s11587-021-00637-6 ◽

2021 ◽

Author(s):

Khaled A. E. Alurrfi ◽

Ayad M. Shahoot ◽

Omar I. Elhasadi

Keyword(s):

Exact Solutions ◽

Expansion Method ◽

Mkdv Equation ◽

Higher Order ◽

Liénard Equation ◽

Generalized Liénard Equation ◽

Lienard Equation

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On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation

Bulletin of the London Mathematical Society ◽

10.1112/blms/26.3.213 ◽

1994 ◽

Vol 26 (3) ◽

pp. 213-247 ◽

Cited By ~ 16

Author(s):

Zeng Xianwu ◽

Zhang Zhi-Fen ◽

Gao Suzhi

Keyword(s):

Limit Cycle ◽

Liénard Equation ◽

Generalized Liénard Equation ◽

Lienard Equation

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Existence of periodic and bounded solutions of the generalized Liénard equation under forcing

Reports on Mathematical Physics ◽

10.1016/s0034-4877(97)81474-7 ◽

1997 ◽

Vol 39 (1) ◽

pp. 91-98

Author(s):

Jan Andres

Keyword(s):

Liénard Equation ◽

Bounded Solutions ◽

Generalized Liénard Equation ◽

Lienard Equation

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