Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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 (doi: 10.20944/preprints202109.0247.v1). Sarsenbi, A. The Expansion Theorems for Sturm-Liouville Operators with an Involution Perturbation. Preprints 2021, 2021090247 (doi: 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

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