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This article is cited in 6 scientific papers (total in 6 papers)
Differential Equations and Mathematical Physics
On a $q$-analogue of the Sturm–Liouville operator with discontinuity conditions
D. Karahan Harran Üniversitesi,
Sanliurfa, Turkey
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In this paper, a $q$-analogue of the Sturm–Liouville problem with discontinuity condition on a finite interval is studied.
It is proved that the $q$-Sturm–Liouville problem with discontinuity conditions is self-adjoint in $L_q^2(0,\pi)$. The completeness theorem and the sampling theorem are proved.
Keywords:
$q$-Sturm–Liouville operator, completeness of eigenfunctions, self-adjoint operato.
Received: June 3, 2022 Revised: September 1, 2022 Accepted: September 13, 2022 First online: September 27, 2022
Citation:
D. Karahan, “On a $q$-analogue of the Sturm–Liouville operator with discontinuity conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:3 (2022), 407–418
Linking options:
https://www.mathnet.ru/eng/vsgtu1934 https://www.mathnet.ru/eng/vsgtu/v226/i3/p407
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