Sabrina Badi, Amar Makhlouf
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
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| Sabrina Badi |
Department of Mathematics, University of Guelma
P.O. Box 401, Guelma 24000, Algeria
| Amar Makhlouf |
Department of Mathematics, University of Annaba
P.O. Box 12, Annaba 23000, Algeria
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