A note on bifurcation from an interval

DOI10.1016/j.na.2005.04.006zbMath1074.34029OpenAlexW2071093246MaRDI QIDQ2483940

H. B. Thompson, Ru Yun Ma

Publication date: 1 August 2005

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.2005.04.006

zbMATH Keywords

EigenvaluesNodal zerosTwo-point boundary value problemsBifurcation methodsMultiplicity results

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Multiple solutions of Sturm-Liouville boundary value problem via lower and upper solutions and variational methods ⋮ Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian ⋮ Sign-changing and multiple solutions of the Sturm-Liouville boundary value problem via invariant sets of descending flow ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)

Cites Work

• Unnamed Item
• On some nonlinear Sturm-Liouville problems
• Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable
• Positive solutions for nonlinear eigenvalue problems
• On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
• Nodal solutions for nonlinear eigenvalue problems
• Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems
• Some global results for nonlinear eigenvalue problems

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