Reconstruction of the Sturm-Liouville differential operators with discontinuity conditions and a constant delay

Mohammad Shahriari (), Behzad Nemati Saray () and Jalil Manafian ()
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Mohammad Shahriari: University of Maragheh
Behzad Nemati Saray: Institute for Advanced Studies in Basic Sciences, (IASBS)
Jalil Manafian: University of Tabriz

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 659-668

Abstract: Abstract In this manuscript, we study second–order differential operators with a constant delay and transmission boundary conditions. We establish properties of the spectral characteristics and investigate the inverse problem of recovering operators from their spectra. Also, we construct the potential function by using the Fourier series and delay point of the Sturm–Liouville differential operator.

Keywords: Sturm-Liouville differential operators; reconstruction of the potential function; jump conditions; Fourier series; 34B24; 34B27 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0422-8

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