Mohamad A. M. Alwash
Abstract:
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 email: alwashm@wlac.edu |
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