Multiple periodic solutions of ordinary differential equations with double resonance

DOI10.1016/j.na.2008.02.031zbMath1219.34056OpenAlexW2083767377MaRDI QIDQ1005261

Leiga Zhao, Jiabao Su

Publication date: 9 March 2009

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.2008.02.031

zbMATH Keywords

Morse theoryperiodic solution

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 (12)

Odd periodic solutions of fully second-order ordinary differential equations with superlinear nonlinearities ⋮ Multiple periodic solutions for asymptotically linear ordinary differential equations with double resonance ⋮ Five nontrivial solutions of superlinear elliptic problem ⋮ Multiple periodic solutions of superlinear ordinary differential equations with a parameter ⋮ Periodic problems with double resonance ⋮ Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms ⋮ Unnamed Item ⋮ One-Signed Harmonic Solutions and Sign-Changing Subharmonic Solutions to Scalar Second Order Differential Equations ⋮ Multiple periodic solutions for difference equations with double resonance at infinity ⋮ Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem ⋮ Nontrivial solutions of a semilinear elliptic problem with resonance at zero ⋮ Infinitely many periodic solutions of ordinary differential equations

Cites Work

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• Multiplicity results for asymptotically linear elliptic problems at resonance.
• On differentiable functions with isolated critical points
• Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
• Multiple solutions for indefinite functionals and applications to asymptotically linear problems
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

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