✦ LIBER ✦

On the Conditions of a Center of the Liénard Equation

✍ Scribed by Y.R. Zhou; X.G. Wang

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 494 KB
Volume: 180
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1381

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Center of the Liénard Equation

✍ S.X. Yu; J.Z. Zhang 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 246 KB

On the Oscillation of Solutions of the L

On the Oscillation of Solutions of the Liénard Equation

✍ Adrian Constantin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 124 KB

We give sufficient conditions for the oscillation of solutions of the Lienard équation.

Periodic Solutions of Liénard Differenti

Periodic Solutions of Liénard Differential Equations with Subquadratic Potential Conditions

✍ Wang Zaihong 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 99 KB

In this paper, we study the second order forced Lienard equation xЉ q f x xЈ q Ž . Ž . g x s e t . We obtain the existence of periodic solutions under some subquadratic conditions.

On the Period Function of Liénard System

On the Period Function of Liénard Systems

✍ M. Sabatini 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 165 KB

Necessary and Sufficient Conditions for

Necessary and Sufficient Conditions for Boundedness and Oscillation in the Retarded Liénard Equation

✍ Bo Zhang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 199 KB

Consider the retarded Lienard equation xЉ q f x xЈ q g x t y h s 0, where f, g: R ª R are continuous and h G 0. Using Liapunov's direct method, we give necessary and sufficient conditions to ensure boundedness and oscillation of all solutions and their derivatives.

An Algebraic Approach to the Classificat

An Algebraic Approach to the Classification of Centers in Polynomial Liénard Systems

✍ Colin Christopher 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 87 KB

We consider the second-order Liénard system where f x and g x are polynomials, which we rewrite in the equivalent twodimensional form, We show that the local question of whether a critical point of this system is a center can be expressed in terms of global conditions on f and g. Using these resul