On Hochstadt–Lieberman theorem for impulsive Sturm–Liouville problems withboundary conditions polynomially dependent on the spectral parameter

DOI10.3906/mat-1807-77zbMath1424.34068OpenAlexW2949580860WikidataQ127711548 ScholiaQ127711548MaRDI QIDQ4633392

Aliasghar Jodayree Akbarfam, Seyfollah Mosazadeh

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1807-77

zbMATH Keywords

Sturm-Liouville problemHochstadt-Lieberman theoremboundary conditions polynomially dependent on the spectral parameterinterior discontinuities

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items

Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter, Unnamed Item, Inverse problem for Sturm–Liouville differential operators with two constant delays, Inverse and expansion problems with boundary conditions rationally dependent on the eigenparameter, Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator, Inverse problem for Sturm–Liouville differential operators with finite number of constant delays

Cites Work

• Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
• On discontinuous Sturm-Liouville problems with transmission conditions
• On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Discontinuous inverse eigenvalue problems
• A uniqueness proof for discontinuous inverse Sturm-Liouville problems with symmetric potentials
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees
• Inverse nodal problem for a Sturm-Liouville operator with discontinuous coefficient
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
• Boundary value problems with discontinuity conditions in an interior point of the interval
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item