Unbounded solutions of positively damped Liénard equations

Changming Ding

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 2, page 115-120
  • ISSN: 0066-2216

Abstract

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This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.

How to cite

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Changming Ding. "Unbounded solutions of positively damped Liénard equations." Annales Polonici Mathematici 64.2 (1996): 115-120. <http://eudml.org/doc/270025>.

@article{ChangmingDing1996,
abstract = {This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.},
author = {Changming Ding},
journal = {Annales Polonici Mathematici},
keywords = {unbounded solutions; vertical isocline; global asymptotic behavior; scalar Liénard equation},
language = {eng},
number = {2},
pages = {115-120},
title = {Unbounded solutions of positively damped Liénard equations},
url = {http://eudml.org/doc/270025},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Changming Ding
TI - Unbounded solutions of positively damped Liénard equations
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 2
SP - 115
EP - 120
AB - This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.
LA - eng
KW - unbounded solutions; vertical isocline; global asymptotic behavior; scalar Liénard equation
UR - http://eudml.org/doc/270025
ER -

References

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  1. [1] G. Seifert, Global asymptotic behavior of solutions of positively damped Liénard equations, Ann. Polon. Math. 51 (1990), 283-288. Zbl0721.34064
  2. [2] G. Villari, On the qualitative behavior of solutions of Liénard equations, J. Differential Equations 67 (1987), 269-277. Zbl0613.34031
  3. [3] G. Villari and F. Zanolin, On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications, Funkc. Ekvac. 33 (1990), 19-38. Zbl0731.34049

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