On the completeness of the set of eigen- and associated functions of a waveguide
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1891-1899 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1998_38_11_a10,
     author = {A. N. Bogolyubov and A. L. Delitsyn and A. G. Sveshnikov},
     title = {On the completeness of the set of eigen- and associated functions of a waveguide},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1891--1899},
     year = {1998},
     volume = {38},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a10/}
}
TY  - JOUR
AU  - A. N. Bogolyubov
AU  - A. L. Delitsyn
AU  - A. G. Sveshnikov
TI  - On the completeness of the set of eigen- and associated functions of a waveguide
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 1891
EP  - 1899
VL  - 38
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a10/
LA  - ru
ID  - ZVMMF_1998_38_11_a10
ER  - 
%0 Journal Article
%A A. N. Bogolyubov
%A A. L. Delitsyn
%A A. G. Sveshnikov
%T On the completeness of the set of eigen- and associated functions of a waveguide
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 1891-1899
%V 38
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a10/
%G ru
%F ZVMMF_1998_38_11_a10
A. N. Bogolyubov; A. L. Delitsyn; A. G. Sveshnikov. On the completeness of the set of eigen- and associated functions of a waveguide. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1891-1899. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a10/

[1] Ilinskii A. S., Shestopalov Yu. V., Primenenie metodov spektralnoi teorii v zadachakh rasprostraneniya voln, Izd-vo MGU, M., 1989

[2] Smirnov Yu. G., “Metod operatornykh puchkov v kraevykh zadachakh sopryazheniya dlya sistemy ellipticheskikh uravnenii”, Differents. ur-niya, 27:1 (1991), 140–147 | MR | Zbl

[3] Krasnushkin P. E., Moiseev E. I., “O vozbuzhdenii vynuzhdennykh kolebanii v sloistom radiovolnovode”, Dokl. AN SSSR, 264:5 (1982), 1123–1127 | MR

[4] Ilinskii A. S., Slepyan G. Ya., Kolebaniya i volny v elektrodinamicheskikh sistemakh s poteryami, Izd-vo MGU, M., 1973

[5] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965

[6] Zilbergleit A. S., Kopilevich Yu. I., Spektralnaya teoriya volnovodov, Fiz.-tekhn. in-t, L., 1983

[7] Keldysh M. V., “O sobstvennykh znacheniyakh i sobstvennykh funktsiyakh nekotorykh klassov nesamosopryazhennykh uravnenii”, Dokl. AN SSSR, 87 (1951), 11–14