Precise spectral asymptotics for the Dirichlet problem \(-u(t)+g(u(t))=\lambda\sin u(t)\)

DOI10.1006/JMAA.2001.7793zbMath1006.34080OpenAlexW2018440781MaRDI QIDQ1599115

Tetsutaro Shibata

Publication date: 17 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7793

zbMATH Keywords

spectral asymptoticsnonlinear Dirichlet problem

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

Related Items (3)

Layer structures for the solutions to the perturbed simple pendulum problems ⋮ Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems ⋮ Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• A monotone method for quasilinear boundary value problems
• Phase-plane solutions to some singular perturbation problems
• Asymptotic behavior of the variational eigenvalues for semilinear sturm-liouville problems
• On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term

This page was built for publication: Precise spectral asymptotics for the Dirichlet problem \(-u(t)+g(u(t))=\lambda\sin u(t)\)