Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem

DOI10.1216/rmjm/1181072148zbMath0852.34040OpenAlexW1996437435MaRDI QIDQ1915724

Pierpaolo Omari, Fabio Zanolin, Patrick Habets

Publication date: 11 December 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072148

zbMATH Keywords

solvabilityperiodic boundary value problemDancer-Fučik spectrum

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) General spectral theory of ordinary differential operators (34L05)

Related Items (11)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities ⋮ Periodic solutions for second order equations with time-dependent potential via time map ⋮ Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum ⋮ A nonresonance condition for radial solutions of a nonlinear Neumann elliptic problem ⋮ On a Semilinear Elliptic Neumann Problem with Asymmetric Nonlinearities ⋮ Half-eigenvalues of periodic Sturm--Liouville problems ⋮ Existence of periodic solutions for a class of \(p\)-Laplacian equations ⋮ Nonresonance conditions for asymptotically positively homogeneous differential systems: The Fučik spectrum and its generalization ⋮ Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order ⋮ The rotation number approach to the periodic Fučik spectrum

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• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations

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