Discrete Fučík spectrum -- anchoring rather than pasting

DOI10.1186/1687-2770-2013-67zbMath1306.39005OpenAlexW2157949487WikidataQ59293320 ScholiaQ59293320MaRDI QIDQ2444596

Petr Stehlík

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-67

zbMATH Keywords

boundary value problemnonlinear difference equationresonanceelementary functionsdiscrete Fučík spectrumsecond discrete Fučík branch

Mathematics Subject Classification ID

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

Related Items (7)

The Fučík spectrum of the discrete Dirichlet operator ⋮ The Fučík spectrum for discrete systems and some nonlinear existence theorems ⋮ Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence ⋮ Localization of Fučík curves for the second order discrete Dirichlet operator ⋮ A note on the relation between the Fučík spectrum and Pareto eigenvalues ⋮ Existence of a priori bounded solutions for discrete two-point boundary value problems ⋮ Variational methods and implicit discrete Nagumo equation

Cites Work

• Resonance problems for the \(p\)-Laplacian
• Nonlinear resonance set for nonlinear matrix equations
• The Fucik spectrum of general Sturm-Liouville problems
• Structure of the Fučík spectrum and existence of solutions for equations with asymmetric nonlinearities
• Dependence on parameters for discrete second-order boundary value problems
• On variational methods for periodic discrete problems
• Existence and multiplicity results for periodic solutions of nonlinear difference equations

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