Open AccessTransmission problem for the Sturm-Liouville equation involving a retarded argument
Author(s) -
Erdoğan Şen
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2106071s
Subject(s) - mathematics , sturm–liouville theory , eigenfunction , eigenvalues and eigenvectors , discontinuity (linguistics) , boundary value problem , argument (complex analysis) , mathematical analysis , transmission (telecommunications) , spectral properties , biochemistry , physics , chemistry , computational chemistry , quantum mechanics , electrical engineering , engineering
In this work, spectral properties of a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary conditions and in the transmission conditions at the point of discontinuity are investigated. To this aim, asymptotic formulas for the eigenvalues and eigenfunctions are obtained.