Browsing by Author "Khalili, Y."

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Determination of an Impulsive Diffusion Operator From Interior Spectral Data
(De Gruyter, 2020) Baleanu, D.; Khalili, Y.; 56389
In the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions q0(x) and q1 (x) can be uniquely established by taking a set of values of the eigenfunctions at some internal point and one spectrum. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.
On the Determination of the Quadratic Pencil of the Sturm-Liouville Operator With an Impulse
(Pleiades Publishing Ltd, 2025) Khalili, Y.; Baleanu, D.
In this work, an inverse problem for the quadratic pencil of the Sturm-Liouville operator with an impulse in the finite interval is considered. It is shown that some information on eigenfunctions at some internal point \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$b\in\left(\frac{1}{2},1\right)$$\end{document} and parts of two spectra uniquely determine the potential functions and all parameters in the boundary conditions. Moreover we prove that the potential functions on the whole interval and the parameters in the boundary conditions can be established from one spectrum and the potentials prescribed on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left(\frac{1}{2},1\right)$$\end{document}.
Citation - Scopus: 1
A Uniqueness Result for Differential Pencils With Discontinuities From Interior Spectral Data
(De Gruyter, 2018) Baleanu, D.; Khalili, Y.; 56389
In this work, the interior spectral data is employed to study the inverse problem for a differential pencil with a discontinuity on the half line. By using a set of values of the eigenfunctions at some internal point and eigenvalues, we obtain the functions q0(x) and q1(x) applied in the diffusion operator. © 2018 Walter de Gruyter GmbH, Berlin/Boston.