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

Mohammad Shahriari | Zendy

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

Author(s) -

Mohammad Shahriari

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2001-80

Subject(s) - mathematics , constant coefficients , inverse problem , constant (computer programming) , boundary value problem , inverse , differential operator , mathematical analysis , uniqueness , sturm–liouville theory , operator (biology) , uniqueness theorem for poisson's equation , spectrum (functional analysis) , geometry , biochemistry , chemistry , repressor , computer science , transcription factor , gene , programming language , physics , quantum mechanics

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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