Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.