Spectral properties of a two parameter nonlinear Sturm-Liouville problem

DOI10.1017/S0308210500029723zbMath0811.34017OpenAlexW2147179447MaRDI QIDQ4296650

Tetsutaro Shibata

Publication date: 19 June 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029723

zbMATH Keywords

asymptotic formulanonlinear Sturm-Liouville problem\(n\)-th variational eigenvalue

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Nonlinear ordinary differential operators (34L30)

Related Items (6)

Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball ⋮ Variational methods and asymptotic formula for two parameter nonlinear Sturm-Liouville problems ⋮ Two-parameter eigenvalue problems in nonlinear second order differential equations ⋮ Two-parameter nonlinear Sturm-Liouville problems ⋮ Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem ⋮ Constructive solutions for nonlinear multiparameter eigenvalue problems

Cites Work

• Asymptotics of eigencurves for second order ordinary differential equations. I
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on general level sets
• Bifurcation from simple eigenvalues
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets

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