@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