Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance

DOI10.1016/j.na.2012.02.020zbMath1238.37019OpenAlexW1973242819MaRDI QIDQ417773

Justyna Fura

Publication date: 14 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.02.020

zbMATH Keywords

autonomous Newtonian systemsdegree for \(S^{1}\)-equivariant gradient mapsexistence and continuation of periodic solutions

Mathematics Subject Classification ID

Related Items (1)

Periodic solutions of asymptotically linear autonomous Hamiltonian systems with resonance

Cites Work

• A short treatise on the equivariant degree theory and its applications
• Estimate of the number of periodic solutions via the twist number
• Transformation groups
• Morse theory and asymptotic linear Hamiltonian system
• Critical point theory and Hamiltonian systems
• Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity
• Branching points for a class of variational operators
• Symmetries, topological degree and a theorem of Z. Q. Wang
• Existence of multiple critical points for an asymptotically quadratic functional with applications
• Reduced \(\text{SO}(3)\times S^1\)-equivariant degree with applications to symmetric bifurcation problems.
• Periodic solutions of second order Hamiltonian systems bifurcating from infinity
• Some remarks on the Böhme-Berger bifurcation theorem
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• Existence and continuation of periodic solutions of autonomous Newtonian systems
• Symmetries, degree, homotopy indices and asymptotically homogeneous problems
• A degree for S1-equavariant orthogonal maps and its applications to bifurcation theory
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Periodic solutions of asymptotically linear Hamiltonian systems
• Brouwer degree, equivariant maps and tensor powers
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance