Periodic solutions of polynomial non-autonomous differential equations

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.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2005; no. 84; pp. 1 - 8
Main Author Mohamad A. M. Alwash
Format Journal Article
LanguageEnglish
Published Texas State University 25.07.2005
Subjects
Abel differential equations
Hilbert's sixteenth problem
limit cycles
Periodic solutions
polynomial non-autonomous equations
uniformly isochronous centers
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Summary: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.
ISSN:1072-6691