A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 3-11
Voir la notice de l'article provenant de la source Math-Net.Ru
We propose a method for the computation of eigenvalues with odd multiplicities for spectral boundary value problems of the 4th order with separated boundary conditions. In this method, approximate eigenvalues appear as zeros of a certain function $f(\lambda)$ which admits an explicit representation.
Keywords:
eigenvalue, eigenfunction.
@article{IVM_2008_11_a0,
author = {R. R. Abzalimov and E. V. Salyakhova},
title = {A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {3--11},
publisher = {mathdoc},
number = {11},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_11_a0/}
}
TY - JOUR AU - R. R. Abzalimov AU - E. V. Salyakhova TI - A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2008 SP - 3 EP - 11 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2008_11_a0/ LA - ru ID - IVM_2008_11_a0 ER -
%0 Journal Article %A R. R. Abzalimov %A E. V. Salyakhova %T A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2008 %P 3-11 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2008_11_a0/ %G ru %F IVM_2008_11_a0
R. R. Abzalimov; E. V. Salyakhova. A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2008_11_a0/