Multiplicity of periodic solutions for a boundary eigenvalue problem

DOI10.1080/14689360412331335693zbMath1098.34034OpenAlexW1967151751MaRDI QIDQ5317714

Leonard Karshima Shilgba

Publication date: 21 September 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360412331335693

zbMATH Keywords

multiplicityperiodic solutioncritical point theory

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) 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 (3)

Existence of three solutions for a perturbed two-point boundary value problem ⋮ Multiple periodic solutions for second order systems with changing sign potential ⋮ A three critical points theorem revisited

Cites Work

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• A mountain pass theorem
• Some remarks on a three critical points theorem
• Existence of three solutions for a two point boundary value problem
• On a three critical points theorem
• Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
• Existence of three solutions for a nonautonomous two point boundary value problem
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Existence and multiplicity of periodic solutions for nonautonomous second order systems
• Existence of three solutions for a class of elliptic eigenvalue problems
• Periodic solutions for second order systems with not uniformly coercive potential

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