The rotation number approach to the periodic Fučik spectrum

DOI10.1006/jdeq.2002.4168zbMath1028.34077OpenAlexW2028912891MaRDI QIDQ1864626

Meirong Zhang

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2002.4168

zbMATH Keywords

rotation numberperiodic Fučik spectrum

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (6)

A semilinear elliptic equation with double resonance ⋮ ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS ⋮ Half-eigenvalues of periodic Sturm--Liouville problems ⋮ Existence of periodic solutions for a class of \(p\)-Laplacian equations ⋮ Non-resonance and double resonance for a planar system via rotation numbers ⋮ The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials

Cites Work

• Unnamed Item
• Unnamed Item
• The rotation number for almost periodic potentials
• Nonresonance conditions for asymptotically positively homogeneous differential systems: The Fučik spectrum and its generalization
• Boundedness in asymmetric oscillations
• Discrete analogue of Fučík spectrum of the Laplacian
• Existence results for resonant perturbations of the Fučik spectrum
• Positively homogeneous equations in the plane.
• On the solvability of asymptotically positively homogeneous equations with Sturm-Liouville boundary value conditions
• Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• The Fucik spectrum of general Sturm-Liouville problems
• 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
• Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations
• A variational approach to nonresonance with respect to the Fučik spectrum
• Boundary value problems with jumping nonlinearities
• Boundary-value problems for weakly nonlinear ordinary differential equations
• On the periodic Fučik spectrum and a superlinear Sturm–Liouville equation
• A generic property of the resonance set of an elliptic operator with respect to the domain
• An example of the Fučik spectrum
• Constructing resonance calabashes of Hill's equations using step potentials
• Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
• Fučík spectrum of a singular sturm-liouville problem
• Asymmetric Oscillators and Twist Mappings

This page was built for publication: The rotation number approach to the periodic Fučik spectrum