Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2006_6_a3, author = {V. B. Levenshtam and G. L. Khatlamadzhiyan}, title = {Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. {The} problem of periodic solutions}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {35--47}, publisher = {mathdoc}, number = {6}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2006_6_a3/} }
TY - JOUR AU - V. B. Levenshtam AU - G. L. Khatlamadzhiyan TI - Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. The problem of periodic solutions JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2006 SP - 35 EP - 47 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2006_6_a3/ LA - ru ID - IVM_2006_6_a3 ER -
%0 Journal Article %A V. B. Levenshtam %A G. L. Khatlamadzhiyan %T Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. The problem of periodic solutions %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2006 %P 35-47 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2006_6_a3/ %G ru %F IVM_2006_6_a3
V. B. Levenshtam; G. L. Khatlamadzhiyan. Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. The problem of periodic solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2006), pp. 35-47. http://geodesic.mathdoc.fr/item/IVM_2006_6_a3/
[1] Bogolyubov N. N., O nekotorykh statisticheskikh metodakh v matematicheskoi fizike, Izd-vo AN USSR, Kiev, 1945, 139 pp.
[2] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974, 504 pp. | MR
[3] Mitropolskii Yu. A., Metod usredneniya v nelineinoi mekhanike, Nauk. dumka, Kiev, 1971, 440 pp. | MR
[4] Volosov V. M., Morgunov B. I., Metod osredneniya v teorii nelineinykh kolebatelnykh sistem, Izd-vo MGU, M., 1971, 507 pp.
[5] Filatov A. N., Metody usredneniya v differentsialnykh i integrodifferentsialnykh uravneniyakh, FAN, Tashkent, 1971, 279 pp. | MR | Zbl
[6] Simonenko I. B., “Obosnovanie metoda osredneniya dlya abstraktnykh parabolicheskikh uravnenii”, Matem. sb., 81:1 (1970), 53–61 | MR | Zbl
[7] Strygin V. V., “Odna teorema o suschestvovanii periodicheskikh reshenii sistem differentsialnykh uravnenii s zapazdyvayuschim argumentom”, Matem. zametki, 8:2 (1970), 229–234 | MR | Zbl
[8] Lehman B., Strygin V., “Partial and generalized averaging of functional differential equations”, Funct. Different. Equat., 9:1–2 (2002), 165–200 | MR | Zbl
[9] Yudovich V. I., Vibrodinamika i vibrogeometriya sistem so svyazyami, Dep. v VINITI. 17.07.2003, No 1407-V2003, 48 pp.
[10] Strygin V. V., “Ob odnoi modifikatsii metoda usredneniya pri otyskanii vysshikh priblizhenii”, PMM, 48:6 (1984), 1042–1045 | MR | Zbl
[11] Strygin V. V., “Ob asimptoticheskom integrirovanii uravnenii dvizheniya mekhanicheskikh sistem, nakhodyaschikhsya pod vozdeistviem bystro ostsilliruyuschikh sil”, PMM, 53:3 (1989), 845–853 | MR
[12] Krasnoselskii M. A., Operator sdviga po traektoriyam obyknovennykh differentsialnykh uravnenii, Nauka, M., 1966, 331 pp. | MR