On Massera’s theorem concerning the uniqueness of a periodic solution for the Liénard equation. When does such a periodic solution actually exist?-Reference-Cited by-同舟云学术

On Massera’s theorem concerning the uniqueness of a periodic solution for the Liénard equation. When does such a periodic solution actually exist?

Published:2013-06-11 Issue:1 Volume:2013 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Rosati Lilia,Villari Gabriele

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/1687-2770-2013-144.pdf

Reference11 articles.

1. Carletti T, Rosati L, Villari G: Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method. Nonlinear Anal. 2007, 67(1):39–51. 10.1016/j.na.2007.01.019

2. Massera JL: Sur un Théoreme de G. Sansone sur l’equation de Liénard. Boll. Unione Mat. Ital. 1954, 9(3):367–369.

3. Sansone G: Soluzioni periodiche dell’equazione di Liénard. Calcolo del periodo. Rend. Semin. Mat. (Torino) 1951, 10: 155–171.

4. Sabatini M, Villari G: On the uniqueness of limit cycles for Liénard equation: the legacy of G. Sansone. Matematiche 2010, LXV(II):201–214.

5. Villari G: An improvement of Massera’s theorem for the existence and uniqueness of a periodic solution for the Liénard equation. Rend. Ist. Mat. Univ. Trieste 2012, 44: 187–195.

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