Dependence of eigenvalue of Sturm-Liouville operators on the real coupled boundary condition

DOI10.1016/j.jmaa.2024.128398MaRDI QIDQ6558306

Xinya Yang

Publication date: 19 June 2024

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

zbMATH Keywords

implicit function theoremdifferentialsmooth manifoldreal coupled boundary condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

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• Inequalities among eigenvalues of Sturm-Liouville problems
• Floquet theory for left-definite Sturm-Liouville problems
• Eigenvalues of regular Sturm-Liouville problems
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem
• Introduction to Smooth Manifolds
• The inverse Sturm–Liouville problem. II
• The inverse Sturm–Liouville problem III
• Dependence of Eigenvalues on the Problem
• Geometric aspects of Sturm-Liouville problems II. Space of boundary conditions for left-definiteness
• The inverse Sturm‐Liouville problem. I
• Regular and singular Sturm–Liouville problems with coupled boundary conditions
• Methods in Nonlinear Analysis
• Continuous dependence of eigenvalues on potential functions for nonlocal Sturm–Liouville equations

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