The Fučík spectrum of the discrete Dirichlet operator

DOI10.1016/j.laa.2018.04.017zbMath1394.39019OpenAlexW2806005791MaRDI QIDQ1642000

Iveta Looseová, Petr Nečesal

Publication date: 20 June 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.017

zbMATH Keywords

Fucik spectrumdifference operatorChebyshev polynomialMöbius transformation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items

Basis properties of Fučik eigenfunctions, The Fučík spectrum for discrete systems and some nonlinear existence theorems, Localization of Fučík curves for the second order discrete Dirichlet operator

Cites Work

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• Fučík spectrum in general: principal eigenvalues and inadmissible sets
• Spectrum of linear difference operators and the solvability of nonlinear discrete problems
• Nonlinear resonance set for nonlinear matrix equations
• Discrete Fučík spectrum -- anchoring rather than pasting
• Boundary value problems with jumping nonlinearities
• The Fučík Spectrum: Exploring the Bridge Between Discrete and Continuous World