Mohamad A. M. Alwash
We present some results on the number of periodic solutions for scalar non-autonomous polynomial equations of degree five. We also consider a class of polynomial equations of any degree. Our results give upper bounds for the number of limit cycles of two-dimensional systems.
Submitted July 7, 2005. Published July 25, 2005.
Math Subject Classifications: 34C25, 34C07, 34C05.
Key Words: Periodic solutions; polynomial non-autonomous equations; Abel differential equations; limit cycles; uniformly isochronous centers; Hilbert's sixteenth problem.
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|Mohamad A. M. Alwash |
Department of Mathematics
West Los Angeles College
9000 Overland Avenue
Los Angeles, CA 90230-3519, USA
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