@article{ZVMMF_2010_50_12_a2,
author = {A. Yu. Kolesov and E. F. Mishchenko and N. Kh. Rozov},
title = {A modification of {Hutchinson's} equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2099--2112},
year = {2010},
volume = {50},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a2/}
}
TY - JOUR AU - A. Yu. Kolesov AU - E. F. Mishchenko AU - N. Kh. Rozov TI - A modification of Hutchinson's equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 2099 EP - 2112 VL - 50 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a2/ LA - ru ID - ZVMMF_2010_50_12_a2 ER -
A. Yu. Kolesov; E. F. Mishchenko; N. Kh. Rozov. A modification of Hutchinson's equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2099-2112. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a2/
[1] Dorodnitsyn A. A., “Asimptoticheskoe reshenie uravneniya Van der Polya”, Prikl. matem. i mekhan., 11:3 (1947), 313–328 | MR
[2] Mischenko E. F., Pontryagin L. S., “Periodicheskie resheniya sistem differentsialnykh uravnenii, blizkie k razryvnym”, Dokl. AN SSSR, 102:5 (1955), 889–891
[3] Mischenko E. F., Rozov N. Kh., Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya, Nauka, M., 1975 | MR
[4] Zharov M. I., Mischenko E. F., Rozov N. Kh., “O nekotorykh spetsialnykh funktsiyakh i konstantakh, voznikayuschikh v teorii relaksatsionnykh kolebanii”, Dokl. AN SSSR, 261:6 (1981), 1292–1296 | MR | Zbl
[5] Mischenko E. F., Kolesov Yu. S., Kolesov A. Yu., Rozov N. Kh., Periodicheskie dvizheniya i bifurkatsionnye protsessy v singulyarno vozmuschennykh sistemakh, Fizmatlit, M., 1995 | MR
[6] Kolesov A. Yu., Kolesov Yu. S., Relaksatsionnye kolebaniya v matematicheskikh modelyakh ekologii, Nauka, M., 1993
[7] Kolesov A. Yu., Mischenko E. F., Rozov N. Kh., “Rele s zapazdyvaniem i ego $C^1$-approksimatsiya”, Tr. MIRAN, 216, M., 1997, 126–153 | MR | Zbl
[8] Hutchinson G. E., “Circular causal systems in ecology”, Ann. N. Y. Acad. Sci., 50 (1948), 221–246 | DOI
[9] Wright E. M., “A non-linear difference-differential equation”, J. reine angew. Math., 194:1–4 (1955), 66–87 | DOI | MR | Zbl
[10] Jones G. S., “Asymptotic behavior and periodic solutions of a non-linear differential-difference equation”, Proc. Nat. Acad. Sci. USA, 47 (1961), 879–882 | DOI | MR | Zbl