On superquadratic periodic systems with indefinite linear part

DOI10.1016/j.na.2009.07.035zbMath1198.34066OpenAlexW1980716210MaRDI QIDQ1049056

Sophia Th. Kyritsi, Nikolaos S. Papageorgiou

Publication date: 8 January 2010

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.2009.07.035

zbMATH Keywords

critical groupsperiodic solutionAmbrosetti-Rabinowitz conditionCerami conditionsuperquadratic potential

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (7)

Infinitely many periodic solutions for a class of new superquadratic second-order Hamiltonian systems ⋮ Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems ⋮ Existence of solution for impulsive differential equations with indefinite linear part ⋮ Multiple results to some biharmonic problems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Existence of subharmonic solutions for non-quadratic second-order Hamiltonian systems ⋮ Existence of solutions for a class of second-order impulsive Hamiltonian system with indefinite linear part

Cites Work

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• Applications of local linking to critical point theory
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• Multiplicity results for asymptotically linear elliptic problems at resonance.
• Two nontrivial solutions for periodic systems with indefinite linear part
• Periodic solutions for a class of nonautonomous second order Hamiltonian systems
• Two nontrivial critical points for nonsmooth functionals via local linking and applications
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• Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
• Periodic solutions of hamiltonian systems
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