Localization of the spectrum of eigenvalue problems nonlinear in the spectral parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 780-782
V. T. Zakharchuk; N. P. Savenkova. Localization of the spectrum of eigenvalue problems nonlinear in the spectral parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 780-782. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a12/
@article{ZVMMF_1990_30_5_a12,
     author = {V. T. Zakharchuk and N. P. Savenkova},
     title = {Localization of the spectrum of eigenvalue problems nonlinear in the spectral parameter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {780--782},
     year = {1990},
     volume = {30},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a12/}
}
TY  - JOUR
AU  - V. T. Zakharchuk
AU  - N. P. Savenkova
TI  - Localization of the spectrum of eigenvalue problems nonlinear in the spectral parameter
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 780
EP  - 782
VL  - 30
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a12/
LA  - ru
ID  - ZVMMF_1990_30_5_a12
ER  - 
%0 Journal Article
%A V. T. Zakharchuk
%A N. P. Savenkova
%T Localization of the spectrum of eigenvalue problems nonlinear in the spectral parameter
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 780-782
%V 30
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a12/
%G ru
%F ZVMMF_1990_30_5_a12

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

An approach which enables one to localize the spectrum of some classes of eigenvalue problems nonlinear in the spectral parameters is proposed and proved. The application of the proposed approach to some test examples is described.

[1] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[2] Gain N. K., Singhal K., Huseyin K., “On roots of functional lambda-matrices”, Comput. Meth. Appl. Mechan. Engng., 40 (1983), 277–292 | DOI | MR

[3] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983 | MR