Geodesic
Implicit function method in solving a two-dimensional nonlinear spectral problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2007), pp. 41-44.

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

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P. A. Savenko; L. P. Protsakh. Implicit function method in solving a two-dimensional nonlinear spectral problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2007), pp. 41-44. http://geodesic.mathdoc.fr/item/IVM_2007_11_a5/

[1] Gokhberg I. Ts., Krein M. G., “Osnovnye polozheniya o defektnykh chislakh, kornevykh chislakh i indeksakh lineinykh operatorov”, UMN, 12:2 (1957), 43–118 | MR

[2] Trofimov V. P., “O kornevykh podprostranstvakh operatorov, analiticheski zavisyaschikh ot parametra”, Matematicheskie issledovaniya, 3, no. 3, Kishinev, 1968, 117–125 | MR | Zbl

[3] Krein S. G., Trofimov V. P., “O neterovykh operatorakh, golomorfno zavisyaschikh ot parametrov”, Tr. matem. fak-ta Voronezhsk. un-ta, Voronezh, 1970, 63–85 | MR | Zbl

[4] Vainikko G. M., Analiz diskretizatsionnykh metodov, Tartu, 1976, 162 pp.

[5] Zhuk P. F., “Ob asimptoticheskikh svoistvakh metoda naiskoreishego spuska v zadachakh na sobstvennye znacheniya”, Zhurn. vychisl. matem. i matem. fiz., 21:2 (1981), 271–285 | MR | Zbl

[6] Solovev S. I., “Approksimatsiya simmetrichnykh spektralnykh zadach s nelineinym vkhozhdeniem parametra”, Izv. vuzov. Matematika, 1993, no. 10, 60–68

[7] Abramov A. A., Yukhno L. F., “Ob odnom metode otyskaniya naimenshego sobstvennogo znacheniya nelineinoi samosopryazhennoi spektralnoi zadachi”, Zhurn. vychisl. matem. i matem. fiz., 38:7 (1998), 1095–1105 | MR | Zbl

[8] Aslanyan M. A., Kartyshov S. V., “Modifikatsiya odnogo chislennogo metoda resheniya nelineinoi spektralnoi zadachi”, Zhurn. vychisl. matem. i matem. fiz., 38:5 (1998), 713–717 | MR | Zbl

[9] Savenko P. O., Nelineinye zadachi sinteza izluchaemykh sistem (teoriya i metody resheniya), IPPMM NAN Ukrainy, Lvov, 2002, 320 pp.

[10] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970, 512 pp. | MR | Zbl

[11] Smirnov V. I., Kurs vysshei matematiki, T. 1, Nauka, M., 1965, 450 pp.

[12] Vainberg M. M., Trenogin V. A., Teoriya vetvleniya reshenii nelineinykh integralnykh uravnenii, Nauka, M., 1969, 527 pp. | MR | Zbl

[13] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984, 320 pp. | MR | Zbl