TY - JOUR
T1 - A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
AU - Şen, Erdǒgan
AU - Araci, Serkan
AU - Acikgoz, Mehmet
AU - Oru̧cǒglu, Kamil
PY - 2013
Y1 - 2013
N2 - In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.
AB - In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.
KW - Asymptotics of eigenvalues and eigenfunctions
KW - Differential operator
KW - Transmission conditions
UR - http://www.scopus.com/inward/record.url?scp=84875823066&partnerID=8YFLogxK
U2 - 10.12732/ijpam.v84i1.11
DO - 10.12732/ijpam.v84i1.11
M3 - Article
AN - SCOPUS:84875823066
SN - 1311-8080
VL - 84
SP - 149
EP - 157
JO - International Journal of Pure and Applied Mathematics
JF - International Journal of Pure and Applied Mathematics
IS - 1
ER -