Localization of Fučík curves for the second order discrete Dirichlet operator
type: Item
instance of: scholarly article
title: Localization of Fučík curves for the second order discrete Dirichlet operator
zbMATH Open document ID: 1471.39018
author: Petr Necesal
author: Iveta Sobotková
published in: Bulletin des Sciences Mathématiques
publication date: 2021-08-17T00:00:00Z
full work available at URL: http://hdl.handle.net/11025/45510
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 7382508
zbMATH Keywords: asymmetric nonlinearities
zbMATH Keywords: Fučík spectrum
zbMATH Keywords: difference operators
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: Möbius transformation
MaRDI profile type: Publication
OpenAlex ID: W3170176561
cites work: Radial Fučik spectrum of the Laplace operator
cites work: The first nontrivial curve in the Fučík spectrum of the Dirichlet Laplacian on the ball consists of nonradial eigenvalues
cites work: On the resonance set in a fourth-order equation with jumping nonlinearity
cites work: Competition systems with strong interaction on a subdomain
cites work: Boundary-value problems for weakly nonlinear ordinary differential equations
cites work: Competing species equations with diffusion, large interactions, and jumping nonlinearities
cites work: On the first curve of the Fučik spectrum of an elliptic operator
cites work: Nonlinear scalar model of a suspension bridge: existence of multiple periodic solutions
cites work: A new and extended variational characterization of the Fučík spectrum with application to nonresonance and resonance problems
cites work: Boundary value problems with jumping nonlinearities
cites work: Q3900559
cites work: Mathematical models for suspension bridges. Nonlinear structural instability
cites work: Nontrivial Fučík spectrum of one non-selfadjoint operator
cites work: Analytical and numerical results for the Fučík spectrum of the Laplacian.
cites work: The Fučík spectrum as two regular curves
cites work: On solvability of equations of the $4$th order with jumping nonlinearities
cites work: Large scale oscillatory behaviour in loaded asymmetric systems
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Krylov Subspace Methods
cites work: The Fučík spectrum of the discrete Dirichlet operator
cites work: Spectrum of linear difference operators and the solvability of nonlinear discrete problems
cites work: Nonlinear resonance set for nonlinear matrix equations
cites work: An example of the Fučik spectrum
cites work: New properties of the Fučík spectrum
cites work: Discrete nonlinear equations and the Fučìk spectrum
cites work: The Fucik spectrum of general Sturm-Liouville problems
cites work: On Fucík type spectrum for problem with integral nonlocal boundary condition
cites work: Discrete Fučík spectrum -- anchoring rather than pasting
DOI: 10.1016/J.BULSCI.2021.103014
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description: scientific article; zbMATH DE number 7382508