Periodic solutions of polynomial non-autonomous differential equations
Date
2005-07-25
Authors
Alwash, Mohamad A. M.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Periodic solutions, Polynomial non-autonomous equations, Abel differential equations, Limit cycles, Uniformly isochronous centers, Hilbert's sixteenth problem
Citation
Alwash, M. A. M. (2005). Periodic solutions of polynomial non-autonomous differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(84), pp. 1-8.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.