Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations

DOI10.1016/j.na.2004.05.010zbMath1052.34018OpenAlexW2037338836MaRDI QIDQ1879774

Tetsutaro Shibata

Publication date: 23 September 2004

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.2004.05.010

zbMATH Keywords

asymptotic expansionvariational eigencurve

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

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• Asymptotics of eigencurves for second order ordinary differential equations. I
• Eigenfunction expansions associated with a multiparameter system of differential equations
• Multiparameter bifurcation problems for second order ordinary differential equations
• Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
• Sturm-Liouville problems with several parameters
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• On multiparameter theory
• Bifurcation from eigencurves of the \(p\)-Laplacian
• Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval
• Precise spectral asymptotics for nonlinear Sturm-Liouville problems
• On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
• Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems
• Boundary layer and variational eigencurve in two-parameter single pendulum type equations
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
• Multiparameter spectral theory
• Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations
• Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval