Transmission problem for the Sturm–Liouville equation involving a retarded argument
Filomat, Tome 35 (2021) no. 6, p. 2071
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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.
Classification :
34L20, 35R10, 65L15
Keywords: Differential equation with retarded argument, transmission conditions, asymptotics of eigenvalues and eigenfunctions
Keywords: Differential equation with retarded argument, transmission conditions, asymptotics of eigenvalues and eigenfunctions
Erdoğan Şena. Transmission problem for the Sturm–Liouville equation involving a retarded argument. Filomat, Tome 35 (2021) no. 6, p. 2071 . doi: 10.2298/FIL2106071S
@article{10_2298_FIL2106071S,
author = {Erdo\u{g}an \c{S}ena},
title = {Transmission problem for the {Sturm{\textendash}Liouville} equation involving a retarded argument},
journal = {Filomat},
pages = {2071 },
year = {2021},
volume = {35},
number = {6},
doi = {10.2298/FIL2106071S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106071S/}
}
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