SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

Year 2017, Volume: 66 Issue: 2, 175 - 194, 01.08.2017

Erdoğan Şen Azad Bayramov

https://doi.org/10.1501/Commua1_0000000810

Abstract

In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972]and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigen functions of boundary value problems of Sturm-Liouville type for the second order differential equation with retarded argument

Keywords

Differential equation with retarded argument, transmission conditions, asymptotics of eigenvalues and eigenfunctions

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• Current address : Erdo¼gan ¸Sen: Department of Mathematics, Namık Kemal University, 59030, Tekirda¼g, Turkey
• E-mail address : [e-mail]
• Current address : Azad Bayramov: Azerbaijan State Pedagogical University, 1000, Baku, Azer- baijan
• E-mail address : [e-mail]