Two-parameter nonlinear Sturm-Liouville problems

DOI10.1017/S0013091500019611zbMath0909.34014MaRDI QIDQ4400083

Tetsutaro Shibata

Publication date: 17 March 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic behavioureigencurvenonlinear Sturm-Liouville problemsvariational eigenvalues

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Cites Work

• Unnamed Item
• Asymptotics of eigencurves for second order ordinary differential equations. I
• Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
• Multiparameter local bifurcation based on the linear part
• Non-linear multiparameter eigenvalue problems for ordinary differential equations
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Asymptotics of eigencurves for second order ordinary differential equations. II
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Nonlinear multiparameter Sturm-Liouville problems
• Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem
• Uniform convergence of multiparameter eigenfunction expansions
• Bifurcation from eigenvalues in nonlinear multiparameter problems
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
• Asymptotic behavior of the variational eigenvalues for semilinear sturm-liouville problems
• Asymptotic Formulae for the Eigenvalues of a Two Parameter System of Ordinary Differential Equations of the Second Order
• Spectral properties of a two parameter nonlinear Sturm-Liouville problem
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Asymptotic Formulae for the Eigenvalues of a Two-Parameter Ordinary Differential Equation of the Second Order

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