Spectral Problems for Non-Linear Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions

DOI10.4153/CJM-2000-011-1zbMath0952.34018OpenAlexW2312658682MaRDI QIDQ4493523

Patrick J. Browne, Paul A. Binding, Bruce Alastair Watson

Publication date: 28 December 2000

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2000-011-1

zbMATH Keywords

Sturm-Liouville equationeigenpairsPrüfer transformationfixed point methods of bifurcation theory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Nonlinear ordinary differential operators (34L30)

Related Items (12)

Global bifurcation of the nondifferentiable Sturm-Liouville problems with indefinite weight and spectral parameter in the boundary condition ⋮ Global bifurcation in nonlinear Dirac problems with spectral parameter in the boundary condition ⋮ Some global results for nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition ⋮ Some global results for nonlinear fourth order eigenvalue problems ⋮ Global bifurcation from zero in nonlinear Sturm-Liouville equation with a spectral parameter in the boundary condition ⋮ Global bifurcation from infinity in some nonlinear Sturm-Liouville problems ⋮ Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition ⋮ Oscillation properties for the equation of the relativistic quantum theory ⋮ Unnamed Item ⋮ Bifurcation in nonlinear Sturm-Liouville problems with indefinite weight and spectral parameter in the boundary condition ⋮ Global bifurcation from zero in some fourth-order nonlinear eigenvalue problems ⋮ Fourth order operators with general Wentzell boundary conditions

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