Geodesic
The spectrum and principal functions of a nonself-adjoint Sturm--Liouville operator with discontinuity conditions
Eurasian mathematical journal, Tome 15 (2024) no. 3, pp. 55-67

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper deals with the nonself-adjoint Sturm–Liouville operator (or one-dimensional time-independent Schrödinger operator) with discontinuity conditions on the positive half line. In this study, the spectral singularities and the eigenvalues are investigated and it is proved that this problem has a nite number of spectral singularities and eigenvalues with nite multiplicities under two additional conditions. Moreover, we determine the principal functions with respect to the eigenvalues and the spectral singularities of this operator. 
@article{EMJ_2024_15_3_a5,
     author = {N. P. Kosar and O. Akcay},
     title = {The spectrum and principal functions of a nonself-adjoint {Sturm--Liouville} operator with discontinuity conditions},
     journal = {Eurasian mathematical journal},
     pages = {55--67},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2024_15_3_a5/}
}
TY  - JOUR
AU  - N. P. Kosar
AU  - O. Akcay
TI  - The spectrum and principal functions of a nonself-adjoint Sturm--Liouville operator with discontinuity conditions
JO  - Eurasian mathematical journal
PY  - 2024
SP  - 55
EP  - 67
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2024_15_3_a5/
LA  - en
ID  - EMJ_2024_15_3_a5
ER  - 
%0 Journal Article
%A N. P. Kosar
%A O. Akcay
%T The spectrum and principal functions of a nonself-adjoint Sturm--Liouville operator with discontinuity conditions
%J Eurasian mathematical journal
%D 2024
%P 55-67
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2024_15_3_a5/
%G en
%F EMJ_2024_15_3_a5
N. P. Kosar; O. Akcay. The spectrum and principal functions of a nonself-adjoint Sturm--Liouville operator with discontinuity conditions. Eurasian mathematical journal, Tome 15 (2024) no. 3, pp. 55-67. http://geodesic.mathdoc.fr/item/EMJ_2024_15_3_a5/