Isolating segments and anti-periodic solutions
type: Item
instance of: scholarly article
title: Isolating segments and anti-periodic solutions
zbMATH Open document ID: 0993.37017
author: Klaudiusz Wójcik
published in: Monatshefte für Mathematik
publication date: 2002-06-27T00:00:00Z
review text: Using the technique based on the notion of periodic isolating segments, the author establishes a sufficient condition for the existence of \(2^n\) geometrically distinct solutions of the two-point boundary value problem \[ \dot{x}=f(t,x), \qquad x(0)=g(x(nT)), \] where \(f\) is a smooth vector field on the manifold \(M\) and \(n\) is a positive integer.
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 37C27
zbMATH DE Number: 1761125
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: periodic isolating segment
zbMATH Keywords: anti-periodic condition
zbMATH Keywords: fixed point index
zbMATH Keywords: Poincaré map
reviewed by: Yuriy V. Rogovchenko
MaRDI profile type: Publication
full work available at URL: s006050200019
OpenAlex ID: W2056373329
DOI: 10.1007/S006050200019
description: scientific article; zbMATH DE number 1761125