Geodesic
On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 186-193

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

This work is devoted to the construction of a characteristic polynomial of the spectral problem of a first-order differential equation on an interval with a spectral parameter in a boundary value condition with integral perturbation which is an entire analytic function of the spectral parameter. Based on the characteristic polynomial formula, conclusions about the asymptotics of the spectrum of the perturbed spectral problem are established.
Keywords: differentiation operator, boundary value conditions, function of bounded variation, characteristic polynomial, entire functions, zeros, eigenvalues, asymptotics.
Mots-clés : integral perturbation 
@article{VUU_2021_31_2_a1,
     author = {N. S. Imanbaev},
     title = {On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {186--193},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a1/}
}
TY  - JOUR
AU  - N. S. Imanbaev
TI  - On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2021
SP  - 186
EP  - 193
VL  - 31
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a1/
LA  - en
ID  - VUU_2021_31_2_a1
ER  - 
%0 Journal Article
%A N. S. Imanbaev
%T On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2021
%P 186-193
%V 31
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a1/
%G en
%F VUU_2021_31_2_a1
N. S. Imanbaev. On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 186-193. http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a1/