On the perturbation theory of spectral characteristics of waveguides
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 7, pp. 1049-1061 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. N. Bogolyubov; M. D. Malykh. On the perturbation theory of spectral characteristics of waveguides. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 7, pp. 1049-1061. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_7_a9/

[1] 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

[2] 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), 744–746 | MR

[3] Malykh M. D., “O povedenii vlozhennykh v nepreryvnyi spektr sobstvennykh znachenii pri izmenenii zapolneniya volnovoda”, Vestn. MGU. Ser. 3. Fiz., astron., 2002, no. 1, 61–62 | Zbl

[4] Keldysh M. V., “O polnote sobstvennykh funktsii nekotorykh klassov nesamosopryazhennykh lineinykh operatorov”, Izbr. trudy. Matematika, Gl. I, Nauka, M., 1985, 305–320

[5] Eni V. M., “Ob ustoichivosti kornevogo chisla analiticheskoi operator-funktsii i o vozmuschenii ee kharakteristicheskikh chisel i sobstvennykh vektorov”, Dokl. AN SSSR, 173:5 (1967), 1251–1254 | MR | Zbl

[6] Howland J. S., “Puiseux series for resonances at an embedded eigenvalue”, Pacific J. Math., 55:1 (1974), 157–176 | MR | Zbl

[7] Howland J. S., “On the Weinstein–Aronszajn formula”, Arch. Ration. Mech. Analys., 39 (1970), 323–339 | MR | Zbl

[8] Shestopalov V. P., Spektralnaya teoriya i vozbuzhdenie otkrytykh struktur, Nauka, M., 1987

[9] Sanches-Palensiya E., Neodnorodnye sredy i teoriya kolebanii, Mir, M., 1984 | MR

[10] Heuser H., Funktionalanalysis, B. G. Teubner, Stuttgart, 1975 | MR | Zbl

[11] Fuks B. A., Vvedenie v teoriyu analiticheskikh funktsii mnogikh kompleksnykh peremennykh, Fizmatgiz, M., 1962 | MR

[12] Grauert G., Remmert R., Analiticheskie lokalnye algebry, Nauka, M., 1988 | MR | Zbl

[13] Salmon G., Vorlesungen über die Algebra der linearen Transformation, B. G. Teubner, Leipzig, 1877

[14] Schlesinger L., Vorlesungen über lineare Differentialgleichungen, B. G. Teubner, Leipzig–Berlin, 1908 | Zbl

[15] Weierstrass K., Mathematische Werke, v. 4, Vorlesungen über die Theorie der Abelschen Transcendenten, Mayer Müller, Berlin, 1902 | Zbl

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

[17] Stummel F., Rand- und Eigenwertaufgaben in Sobolewschen Räumen, Springer, Berlin etc., 1969 | MR | Zbl

[18] Bogolyubov A. N., Delitsyn A. L., Malykh M. D., “O veschestvennykh rezonansakh v volnovode s neodnorodnym zapolneniem”, Vestn. MGU. Ser. 3. Fiz., astron., 2001, no. 5, 23–25 | Zbl