Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument

Abstract

In this study, we proved the simplicity of eigenvalues and obtained asymptotic formulas for eigenvalues and eigenfunctions of second order non-local boundary-value problems with retarded argument.

Keywords:

• Differential equation with retarded argument
• non-local conditions
• asymptotics of eigenvalues and eigenfunctions

AMS Subject Classifications:

• 34B24
• 34L20
• 35R10

Acknowledgments

The authors are grateful to anonymous referees for the evaluation of paper and constructive suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

The results of this article were obtained during the visit of the first author at 2019-03-01–2020-03-01 at Vilnius University according to the programme 2219 – International Postdoctoral Research Fellowship of the Scientific and Technological Research Council of Turkey (TUBITAK).