Sabrina Badi, Amar Makhlouf
Abstract:
We apply the averaging theory of first and second order to a
generalized Lienard differential equation.
Our main result shows that for any
there are differential
equations
, with
f and g polynomials of degree n and m respectively,
having at most
and
limit cycles, where
denotes the integer part function.
Submitted August 11, 2011. Published May 2, 2012.
Math Subject Classifications: 37G15, 37C80, 37C30.
Key Words: Limit cycle; averaging theory; Lienard differential equation
Show me the PDF file (226 KB), TEX file, and other files for this article.
Sabrina Badi Department of Mathematics, University of Guelma P.O. Box 401, Guelma 24000, Algeria email: badisabrina@yahoo.fr | |
Amar Makhlouf Department of Mathematics, University of Annaba P.O. Box 12, Annaba 23000, Algeria email: makhloufamar@yahoo.fr |
Return to the EJDE web page