Non-resonance conditions for semilinear Sturm-Liouville problems with jumping nonlinearities

DOI10.1006/JDEQ.2000.3817zbMath0986.34021OpenAlexW1980038574MaRDI QIDQ5929883

Bryan P. Rynne

Publication date: 15 July 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3817

zbMATH Keywords

eigenvaluesFucik spectrumnonlinear boundary value problemsjumping nonlinearitiessemilinear Sturm-Liouville problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24)

Related Items (14)

Periodic solutions of p-Laplacian differential equations with jumping nonlinearity across half-eigenvalues ⋮ Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions ⋮ Second order, Sturm-Liouville problems with asymmetric, superlinear nonlinearities. II ⋮ Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems ⋮ Spectral properties of \(p\)-Laplacian problems with Neumann and mixed-type multi-point boundary conditions ⋮ Half eigenvalues and the Fučík spectrum of multi-point boundary value problems ⋮ Double resonance in Sturm-Liouville planar boundary value problems ⋮ Sturm-Liouville problem for second order ordinary differential equations across resonance ⋮ Second-order, three-point, boundary value problems with jumping nonlinearities ⋮ Unnamed Item ⋮ Spectral properties of second-order, multi-point, \(p\)-Laplacian boundary value problems ⋮ Half-eigenvalues of periodic Sturm--Liouville problems ⋮ \(p\)-Laplacian problems with jumping nonlinearities ⋮ Non-resonance for Sturm-Liouville problems with jumping nonlinearities in terms of average values

Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• On some nonlinear Sturm-Liouville problems
• A nonresonance result with respect to the Fučik spectrum for a second order differential equations
• The Fucik spectrum of general Sturm-Liouville problems
• Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations
• A Nonlinear Fredholm Alternative for Second Order Ordinary Differential Equations
• A variational approach to nonresonance with respect to the Fučik spectrum
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• A Prüfer approach to half-linear Sturm-Liouville problems
• On the periodic BVP for the forced duffing equation with jumping nonlinearity
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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