Global dynamics of a Wilson polynomial Liénard equation

Haibo Chen; Hebai Chen

doi:10.1090/proc/15074

Global dynamics of a Wilson polynomial Liénard equation

Proceedings of the American Mathematical Society ◽

10.1090/proc/15074 ◽

2020 ◽

Vol 148 (11) ◽

pp. 4769-4780

Author(s):

Haibo Chen ◽

Hebai Chen

Keyword(s):

Liénard Equation ◽

Global Dynamics ◽

Wilson Polynomial ◽

Lienard Equation

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

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

STATIONARY SOLUTION FOR A STOCHASTIC LIÉNARD EQUATION WITH MARKOVIAN SWITCHING

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30265-5 ◽

2005 ◽

Vol 25 (1) ◽

pp. 95-104 ◽

Cited By ~ 3

Author(s):

Fubao Xi ◽

Liqin Zhao

Keyword(s):

Stationary Solution ◽

Markovian Switching ◽

Liénard Equation ◽

Lienard Equation

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

On The Non-Uniqueness of Periodic Solutions for an Asymmetric Liénard Equation

Selected Papers of Norman Levinson ◽

10.1007/978-1-4612-5332-7_15 ◽

1998 ◽

pp. 155-157

Author(s):

G. F. D. Duff ◽

N. Levinso

Keyword(s):

Periodic Solutions ◽

Liénard Equation ◽

Lienard Equation

An Efficient Computational Method for Non-Linear Fractional Lienard Equation Arising in Oscillating Circuits

Methods of Mathematical Modelling ◽

10.1201/9780429274114-3 ◽

2019 ◽

pp. 39-50

Author(s):

Harendra Singh

Keyword(s):

Computational Method ◽

Liénard Equation ◽

Non Linear ◽

Lienard Equation

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

Explicit exact solutions for the Lienard equation and its applications

Physics Letters A ◽

10.1016/0375-9601(94)91089-8 ◽

1994 ◽

Vol 196 (1-2) ◽

pp. 301-306

Author(s):

De-xing Kong

Keyword(s):

Exact Solutions ◽

Liénard Equation ◽

Lienard Equation

Boundedness and oscillation of solutions of the Liénard equation

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1971-12723-4 ◽

1971 ◽

Vol 77 (3) ◽

pp. 418-422 ◽

Cited By ~ 2

Author(s):

John R. Graef

Keyword(s):

Liénard Equation ◽

Lienard Equation ◽

Oscillation Of Solutions

On the Forced Lienard Equation

Canadian Mathematical Bulletin ◽

10.4153/cmb-1969-009-3 ◽

1969 ◽

Vol 12 (1) ◽

pp. 79-84 ◽

Cited By ~ 1

Author(s):

R.R. Stevens

Keyword(s):

Differential Equation ◽

Order Differential Equation ◽

Second Order ◽

Liénard Equation ◽

Second Order Differential Equation ◽

Image Position ◽

Lienard Equation

We consider the second order differential equation(1)with the assumptions that(2) f(x) is continuous (- ∞ < x < ∞) and p(t) is continuous and bounded: |p(t)| ≤ E, - ∞ < t < ∞.Also, throughout this paper, F(x) denotes an antiderivative of f(x).