Planar nonautonomous polynomial equations. III: Zeros of the vector field
type: Item
instance of: scholarly article
title: Planar nonautonomous polynomial equations. III: Zeros of the vector field
zbMATH Open document ID: 1285.34035
author: Paweł Wilczyński
published in: Topological Methods in Nonlinear Analysis
publication date: 2013-04-26T00:00:00Z
review text: Theorems on existence and multiplicity of \(T\)-periodic solutions and their heteroclinic conections of planar equations of the form \[ \dot z=\sum_{j=0}^n a_j(t)z^j \] are given. It is assumed \(a_j: \mathbb R\to \mathbb C\) are \(T\)-periodic and continuous. Proofs are based on the Denjoy-Wolff fixed point theorem and geometric arguments.
reviewed by: Roman Srzednicki
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 6158517
zbMATH Keywords: periodic solution
zbMATH Keywords: isolating segment
zbMATH Keywords: Denjoy-Wolff fixed point theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6158517