Asymptotic Approach to Inverse Bifurcation for Nonlinear Sturm-Liouville Problems

DOI10.1515/ANS-2012-0303zbMath1272.34020OpenAlexW2511731429MaRDI QIDQ4898264

Tetsutaro Shibata

Publication date: 30 December 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0303

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations
• Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Three-term spectral asymptotics for nonlinear Sturm-Liouville problems
• New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems
• Some global results for nonlinear eigenvalue problems
• On nonlinear eigenvalue problems
• Constrained critical points and eigenvalue approximation for semilinear elliptic operators

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