Abstract
We give a few sufficient conditions for the existence of periodic solutions of the equation $\dot{z}=\sum_{j=0}^n a_j(t)z^j$. We prove the existence of one up to $n$ periodic solutions and heteroclinic ones.
Citation
Paweł Wilczyński. "Planar nonautonomous polynomial equations III. Zeros of the vector field." Topol. Methods Nonlinear Anal. 40 (1) 71 - 110, 2012.
Information
Published: 2012
First available in Project Euclid: 21 April 2016
zbMATH: 1285.34035
MathSciNet: MR3026103
Rights: Copyright © 2012 Juliusz P. Schauder Centre for Nonlinear Studies
