Asymptotics of eigenvalues of fourth order differential operator with alternating weight function
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2018), pp. 46-58
Voir la notice de l'article provenant de la source Math-Net.Ru
We study a fourth-order differential operator with a sign-alternating weight function with separated boundary conditions. For large values of the spectral parameter the asymptotics of the solutions to the corresponding differential equations is derived. The study of boundary conditions makes it possible to obtain an equation for eigenvalues of the considered differential operator. The indicator diagram of this equation is studied. The asymptotics of eigenvalues in various sectors of the indicator diagram is obtained.
@article{VMUMM_2018_6_a6,
author = {S. I. Mitrokhin},
title = {Asymptotics of eigenvalues of fourth order differential operator with alternating weight function},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {46--58},
publisher = {mathdoc},
number = {6},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a6/}
}
TY - JOUR AU - S. I. Mitrokhin TI - Asymptotics of eigenvalues of fourth order differential operator with alternating weight function JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2018 SP - 46 EP - 58 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a6/ LA - ru ID - VMUMM_2018_6_a6 ER -
%0 Journal Article %A S. I. Mitrokhin %T Asymptotics of eigenvalues of fourth order differential operator with alternating weight function %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2018 %P 46-58 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a6/ %G ru %F VMUMM_2018_6_a6
S. I. Mitrokhin. Asymptotics of eigenvalues of fourth order differential operator with alternating weight function. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2018), pp. 46-58. http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a6/