Higher-order Sturm-Liouville problems with the Same eigenvalues

Mirzaei, Hanif

doi:10.3906/mat-1911-17

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2020

2024

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Cited by 2 publications

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“…In isospectral problems, for a given problem, we want to obtain different problems of the same form, which have the same eigenvalues of the initial problem. Isospectral Sturm-Liouville problems are studied in [8,12,13]. The third type of problems related to the Sturm-Liouville problems are inverse problems.…”

Section: Introductionmentioning

confidence: 99%

Inverse problem for Sturm–Liouville differential operators with finite number of constant delays

Shahriari¹

2020

Turk J Math

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In this manuscript, we study nonself-adjoint second-order differential operators with finite number of constant delays. We investigate the properties of the spectral characteristics and the inverse problem of recovering operators from their spectra. An inverse spectral problem is studied for recovering differential operator from the potential from spectra of two boundary value problems with one common boundary condition. The uniqueness theorem is proved for this inverse problem.

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Section: Introductionmentioning

confidence: 99%