Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity
type: Item
instance of: scholarly article
title: Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity
zbMATH Open document ID: 1251.34057
author: Justyna Fura
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-08-01T00:00:00Z
review text: The author studies the existence and multiplicity of periodic solutions to some Newtonian-type systems which are partially asymptotically linear at infinity. The method of proof involves the theory of topological degree for \(S^1\)-equivariant gradient maps. Some technical examples are provided at the end of the paper.
reviewed by: Alessandro Fonda
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6062818
zbMATH Keywords: Newtonian equation
zbMATH Keywords: degree for equivariant maps
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.04.057
OpenAlex ID: W1990559763
cites work: Morse theory for Hamiltonian systems
cites work: Periodic solutions of asymptotically linear Hamiltonian systems
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Estimate of the number of periodic solutions via the twist number
cites work: An infinite dimensional Morse theory with applications
cites work: Brouwer degree, equivariant maps and tensor powers
cites work: Morse theory and asymptotic linear Hamiltonian system
cites work: Existence of multiple critical points for an asymptotically quadratic functional with applications
cites work: Critical point theory and Hamiltonian systems
cites work: Symmetries, topological degree and a theorem of Z. Q. Wang
cites work: Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
cites work: Periodic solutions of partially superquadratic second order Hamiltonian systems
cites work: Existence of forced oscillations for some nonlinear differential equations
cites work: Periodic solutions of ''superquadratic'' Hamiltonian systems
cites work: A degree for S1-equavariant orthogonal maps and its applications to bifurcation theory
cites work: Existence and continuation of periodic solutions of autonomous Newtonian systems
cites work: Periodic solutions of second order Hamiltonian systems bifurcating from infinity
cites work: Branching points for a class of variational operators
cites work: Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
cites work: Q4328160
cites work: Q4086295
cites work: Some remarks on the Böhme-Berger bifurcation theorem
cites work: Symmetries, degree, homotopy indices and asymptotically homogeneous problems
cites work: Reduced \(\text{SO}(3)\times S^1\)-equivariant degree with applications to symmetric bifurcation problems.
cites work: Transformation groups
DOI: 10.1016/J.JMAA.2012.04.057
description: scientific article; zbMATH DE number 6062818