Periodic solutions for certain systems of planar complex polynomial equations.
type: Item
instance of: scholarly article
title: Periodic solutions for certain systems of planar complex polynomial equations.
zbMATH Open document ID: 1035.34031
author: Valentina Taddei
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2001-01-01T00:00:00Z
review text: The author deals with the existence of T-periodic solutions to the T-periodic system of complex planar equations \(u'=p_{1}(t,u,v)\), \(v'=p_{2}(t,u,v),\) where \(p_{1}\) and \(p_{2}\) are second-order polynomial whose coefficients are T-periodic continuous functions from \(\mathcal C\). The coefficients of the polynomials have a holomorphic extension to a neighbourhood of the unit disc. An existence theorem for periodic solutions is derived, and this theorem is applied to some generalization of complex periodic Riccati equations.
reviewed by: Fuhua Ling
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 1931527
zbMATH Keywords: continuation theorem
zbMATH Keywords: periodic condition
zbMATH Keywords: complex polynomial
zbMATH Keywords: complex periodic Riccati equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1931527