ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS

DOI10.1142/S0219199710003877zbMath1202.34037OpenAlexW2165623749MaRDI QIDQ3577792

Meirong Zhang, Ping Yan

Publication date: 23 July 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710003877

zbMATH Keywords

periodic solutionrotation number\(p\)-LaplacianFučik spectrum

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Applications of operator theory to differential and integral equations (47N20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09) Rotation numbers and vectors (37E45)

Related Items

An extension of the Poincaré-Birkhoff theorem for Hamiltonian systems coupling resonant linear components with twisting components, Periodic solutions of weakly coupled superlinear systems with indefinite terms, Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions, Periodic solutions of second order equations via rotation numbers, Periodic solutions of \(p\)-Laplacian equations via rotation numbers

Cites Work

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• Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems
• The rotation number approach to the periodic Fučik spectrum
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• One-dimensional \(p\)-Laplacian with a strong singular indefinite weight. I: Eigenvalue
• Variational and non-variational eigenvalues of the \(p\)-Laplacian
• Optimal estimates on rotation number of almost periodic systems
• Resonance Pockets of Hill's Equations with Two-Step Potentials
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
• EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A GENERAL INDEFINITE WEIGHT