Spectrum, trace and nodal points of a Sturm–Liouville type delayed differential operator with interface conditions

Erdoğan Şen

doi:10.1216/rmj.2021.51.283

Abstract

A formula for regularized sums of eigenvalues of a Sturm–Liouville problem with delayed argument at the point of discontinuity is obtained. Moreover, nodal points of the related problem are investigated.

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Erdoğan Şen. "Spectrum, trace and nodal points of a Sturm–Liouville type delayed differential operator with interface conditions." Rocky Mountain J. Math. 51 (1) 283 - 294, February 2021. https://doi.org/10.1216/rmj.2021.51.283

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Received: 17 May 2020; Revised: 4 July 2020; Accepted: 7 July 2020; Published: February 2021

First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/rmj.2021.51.283

Subjects:

Primary: 34B24 , 47A10 , 47A55

Keywords: differential equation with delayed argument , interface conditions , nodal points , regularized trace , spectrum

Abstract

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