On an example of trapped modes in an irregular waveguide
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 1, pp. 127-132 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2003_43_1_a9,
     author = {A. N. Bogolyubov and A. L. Delitsyn and M. D. Malykh},
     title = {On an example of trapped modes in an irregular waveguide},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {127--132},
     year = {2003},
     volume = {43},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_1_a9/}
}
TY  - JOUR
AU  - A. N. Bogolyubov
AU  - A. L. Delitsyn
AU  - M. D. Malykh
TI  - On an example of trapped modes in an irregular waveguide
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2003
SP  - 127
EP  - 132
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_1_a9/
LA  - ru
ID  - ZVMMF_2003_43_1_a9
ER  - 
%0 Journal Article
%A A. N. Bogolyubov
%A A. L. Delitsyn
%A M. D. Malykh
%T On an example of trapped modes in an irregular waveguide
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2003
%P 127-132
%V 43
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_1_a9/
%G ru
%F ZVMMF_2003_43_1_a9
A. N. Bogolyubov; A. L. Delitsyn; M. D. Malykh. On an example of trapped modes in an irregular waveguide. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 1, pp. 127-132. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_1_a9/

[1] Werner P., “Resonanzphänomene in akustischen und elektromagnetischen Wellenleitern”, Z. angew. Math. und Mech., 67:4 (1987), 43–54 | MR | Zbl

[2] Rellich F., “Das Eigenwertproblem von $\Delta u+\lambda u=0$ in Halbröhren”, Studies and essays presented to R. Courant, New York, 1948, 329–344 | MR | Zbl

[3] Jones D. S., “The eigenvalues of $\nabla^2u+\lambda u$ when the boundary conditions are on semi-infinite domains”, Proc. Cambridge Philos. Soc., 49 (1954), 668–684 | DOI | MR

[4] Evans D. V., Levitin M., Vassiliev D., “Existence theorems for trapped modes”, J. Fluid Mech., 261 (1994), 21–31 | DOI | MR | Zbl

[5] Evans D. V., Porter R., “Trapped modes embedded in the continuous spectrum”, Quart. J. Mech. and Appl. Math., 51 (1998), 263–274 | DOI | MR

[6] Davies E. B., Parnovski L., “Trapped modes in acoustic waveguides”, Quart. J. Mech. and Appl. Math., 51 (1998), 477–492 | DOI | MR | Zbl

[7] Delitsyn A. L., “O zadache rasseyaniya na neodnorodnosti v volnovode”, Zh. vychisl. matem. i matem. fiz., 40:4 (2000), 606–610 | MR | Zbl

[8] Bogolyubov A. N., Malykh M. D., Sveshnikov A. G., “O neustoichivosti vlozhennykh v nepreryvnyi spektr sobstvennykh znachenii volnovoda po otnosheniyu k vozmuscheniyam ego zapolneniya”, Dokl. RAN, 385:6 (2002), 1–3 | MR

[9] Bogolyubov A. N., Malykh M. D., Sveshnikov A. G., “Yavlenie rezonansa v volnovode s neodnorodnym zapolneniem”, Zh. vychisl. matem. i matem. fiz., 42:12 (2002), 1816–1830 | MR | Zbl

[10] Bogolyubov A. N., Delitsyn A. L., Malykh M. D., “O lovushechnykh modakh volnoveduschikh sistem”, Vestn. MGU. Ser. 3. Fiz., astron., 2001, no. 6, 69–70

[11] Fedoryuk M. V., Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR

[12] Ilinskii A. S., Kravtsov V. V., Sveshnikov A. G., Matematicheskie modeli elektrodinamiki, Vysshaya shkola, M., 1991