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Periodic Solutions of General Autonomous System of Lienard Type

Ping Yan, Jifa Jiang, Periodic Solutions of General Autonomous System of Lienard Type. Applicable Analysis 83(7), 735–746, 2004.

Abstract:

This article gives some sufficient conditions for the
existence and nonexistence of nonzero periodic solutions of the general
autonomous system of Liénard type The main purpose of this article is to
study the problem of how small the extent for the function f(x, y)
should be to guarantee the existence of nonzero periodic solutions of
this system. With some standard additional assumptions, we prove that if
then the system has at least one nonzero periodic solution, otherwise,
the system has no nonzero periodic solution.

BibTeX entry:

@ARTICLE{jYaJi04a,
  title = {Periodic Solutions of General Autonomous System of Lienard Type},
  author = {Yan, Ping and Jiang, Jifa},
  journal = {Applicable Analysis},
  volume = {83},
  number = {7},
  pages = {735–746},
  year = {2004},
}

Belongs to TUCS Research Unit(s): Biomathematics Research Unit (BIOMATH)

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