Inverse and expansion problems with boundary conditions rationally dependent on the eigenparameter

DOI10.1007/S41980-019-00241-3zbMath1435.34028OpenAlexW2954696902WikidataQ127726596 ScholiaQ127726596MaRDI QIDQ2287020

Aliasghar Jodayree Akbarfam, Seyfollah Mosazadeh

Publication date: 23 January 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00241-3

zbMATH Keywords

inverse problemeigenvaluesresolvent operatoreigenparameter-dependent boundary conditionsexpansion formula

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (1)

Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter

Cites Work

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• On half inverse problem for differential pencils with the spectral parameter in boundary conditions
• TRANSFORMATIONS BETWEEN STURM–LIOUVILLE PROBLEMS WITH EIGENVALUE DEPENDENT AND INDEPENDENT BOUNDARY CONDITIONS
• On Hochstadt–Lieberman theorem for impulsive Sturm–Liouville problems withboundary conditions polynomially dependent on the spectral parameter
• An Integral Transform Associated with Boundary Conditions Containing an Eigenvalue Parameter
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions
• Reconstruction formula for the potential function of Sturm–Liouville problem with eigenparameter boundary condition
• Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition

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