The minimal period problem for nonconvex even second order Hamiltonian systems

DOI10.1006/JMAA.1997.5666zbMath0898.34042OpenAlexW1973559381MaRDI QIDQ1378579

Guihua Fei, Tixiang Wang

Publication date: 15 October 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5666

zbMATH Keywords

asymptotically linearminimal period problemsuper-quadraticnonconvex even second-order Hamiltonian systemssymmetric Morse index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

Periodic solutions for second-order even and noneven Hamiltonian systems ⋮ A note on the minimal period problem for second order Hamiltonian systems ⋮ Periodic solutions with prescribed minimal period to Hamiltonian systems ⋮ Periodic solutions with prescribed minimal period for second order even Hamiltonian systems ⋮ Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities ⋮ Solutions of minimal period for even classical Hamiltonian systems ⋮ On the existence of minimal periodic solutions for a class of second-order Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Solutions with minimal period for Hamiltonian systems in a potential well
• Morse theory and asymptotic linear Hamiltonian system
• Solutions of minimal period for a class of convex Hamiltonian systems
• Critical point theory and Hamiltonian systems
• The minimal period problem of classical Hamiltonian systems with even potentials
• The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Cohomology and Morse theory for strongly indefinite functionals
• Morse index estimates in min-max theorems
• Some results on solutions of minimal period to superquadratic Hamiltonian systems
• Solutions of minimal period for a class of nonconvex Hamiltonian systems and applications to the fixed energy problem
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Location, multiplicity and Morse indices of min-max critical points.
• Dual Morse index estimates for periodic solutions of Hamiltonian systems in some nonconvex superquadratic cases
• Periodic solutions of hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials

This page was built for publication: The minimal period problem for nonconvex even second order Hamiltonian systems