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The Expansion Theorems for Sturm-Liouville Operators with an Involution Perturbation
Version 1
: Received: 10 September 2021 / Approved: 14 September 2021 / Online: 14 September 2021 (15:41:08 CEST)
How to cite: Sarsenbi, A. The Expansion Theorems for Sturm-Liouville Operators with an Involution Perturbation. Preprints 2021, 2021090247. https://doi.org/10.20944/preprints202109.0247.v1 Sarsenbi, A. The Expansion Theorems for Sturm-Liouville Operators with an Involution Perturbation. Preprints 2021, 2021090247. https://doi.org/10.20944/preprints202109.0247.v1
Abstract
In this work, we studied the Green’s functions of the second order differential operators with involution. Uniform equiconvergence of spectral expansions related to the second-order differential operators with involution is obtained. Basicity of eigenfunctions of the second-order differential operator operator with complex-valued coefficient is established.
Keywords
differential equations; involution; boundary value problems; Green’s function; eigen6 function expansions; equiconvergence; Riesz basis; spectral properties
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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