SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:66 Issue:2
SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

Authors : Erdoğan ŞEN, Azad BAYRAMOV

Pages : 175-194

Doi:10.1501/Commua1_0000000810

View : 15 | Download : 15

Publication Date : 2017-08-01

Article Type : Research Paper

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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