The uniqueness of the solution of dual equations of an inverse indefinite Sturm--Liouville problem

DOI10.1016/J.JMAA.2004.12.049zbMath1069.34006OpenAlexW1992109482MaRDI QIDQ1779352

Niranjan Chakravarthy

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.049

zbMATH Keywords

Sturm-Liouville problemsInverse problemsTurning pointDual equationsNondefinite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Inverse problems involving ordinary differential equations (34A55)

Related Items (6)

On the canonical solution of indefinite problem with \(m\) turning points of even order ⋮ On the uniqueness of the solution of dual equation of a singular Sturm-Liouville problem ⋮ Unnamed Item ⋮ The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points ⋮ Asymptotic form and infinite product representation of solution of a second order initial value problem with a complex parameter and a finite number of turning points ⋮ Duality for an indefinite inverse Sturm-Liouville problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit solution of the inverse problem for a vibrating string
• A formula for the mass density of a vibrating string in terms of the trace
• Inverse spectral problems for differential equations on the half-line with turning points
• Higher order asymptotic distribution of the eigenvalues of nondefinite Sturm-Liouville problems with one turning point
• A FUNCTION-THEORETIC PROPERTY OF SOLUTIONS OF THE EQUATION x″ + (λw − q)x = 0

This page was built for publication: The uniqueness of the solution of dual equations of an inverse indefinite Sturm--Liouville problem