Second-order, three-point, boundary value problems with jumping nonlinearities

DOI10.1016/j.na.2007.03.023zbMath1151.34013OpenAlexW2086842332MaRDI QIDQ943742

Bryan P. Rynne

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.023

zbMATH Keywords

boundary value problemsjumping nonlinearitieshalf-eigenvaluesthree-point

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (9)

Global structure of positive solutions for nonlocal boundary value problems involving integral conditions ⋮ 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 ⋮ Bifurcation of sign-changing solutions for \(m\)-point boundary value problems ⋮ Existence of nontrivial solutions for unilaterally asymptotically linear three-point boundary value problems ⋮ Spectral properties of second-order, multi-point, \(p\)-Laplacian boundary value problems ⋮ Structure of eigenvalues of multi-point boundary value problems ⋮ Fixed point theorems for \(\tau -\varphi \)-concave operators and applications ⋮ Existence of multiple solutions for nonlinear multi-point boundary value problems

Cites Work

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• On some nonlinear Sturm-Liouville problems
• The Fucik spectrum of general Sturm-Liouville problems
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• A Prüfer approach to half-linear Sturm-Liouville problems
• Non-resonance conditions for semilinear Sturm-Liouville problems with jumping nonlinearities

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