@article{ZVMMF_1993_33_12_a5,
author = {Yu. A. Kriksin},
title = {Nonlocal solutions of problems of nonlinear dynamics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1826--1843},
year = {1993},
volume = {33},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a5/}
}
Yu. A. Kriksin. Nonlocal solutions of problems of nonlinear dynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 12, pp. 1826-1843. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a5/
[1] Puankare A., O krivykh, opredelyaemykh differentsialnymi uravneniyami, OGIZ, M.–L., 1947
[2] Nemytskii V. V., Stepanov V. V., Kachestvennaya teoriya differentsialnykh uravnenii, OGIZ, M.–L., 1947
[3] Reissig R., Sansone G., Konti R., Kachestvennaya teoriya nelineinykh differentsialnykh uravnenii, Nauka, M., 1974 | MR
[4] Samarskii A. A., “Matematicheskoe modelirovanie — intellektualnoe yadro informatiki”, Sovrem. probl. prikl. matem. i matem fiz., Nauka, M., 1988, 19–30 | MR
[5] Krasnoselskii M. A., Krein S. G., “Nelokalnye teoremy suschestvovaniya i teoremy edinstvennosti dlya sistem obyknovennykh differentsialnykh uravnenii”, Dokl. AN SSSR, 102:1 (1955), 13–16 | MR
[6] Krasnoselskii M. A., Krein S. G., “K teorii obyknovennykh differentsialnykh uravnenii v banakhovykh prostranstvakh”, Tr. seminara po funkts. analizu Voronezhskogo gos. un-ta, 2, Kharkov, 1956, 3–23
[7] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR
[8] Chernoff P. R., Marsden J. E., Properties of infinite dimensional hamiltonian systems, Lect. Notes Math., 425, 1974 | MR | Zbl
[9] Calderoni P., Carpino S., “Time evolution of infinitely many particles: An existence theorem”, J. Statist. Phys., 28:4 (1982), 815–833 | DOI | MR | Zbl
[10] Pulvirenti M., “Stability, equilibrium and KMS for an infinite classical system”, J. Math. Phys., 18:11 (1977), 2099–2103 | DOI | MR | Zbl
[11] Kriksin Yu. A., “Dinamicheskie sistemy s vneshnim vozdeistviem”, Zh. vychisl. matem. i matem. fiz., 32:3 (1992), 417–433 | MR | Zbl
[12] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976 | MR
[13] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl
[14] Olkhovskii I. I., Kurs teoreticheskoi mekhaniki dlya fizikov, Nauka, M., 1978
[15] Kislov V. V., Kriksin Yu. A., “Chislennoe modelirovanie impulsnogo vozdeistviya na soliton v kvaziodnomernykh sistemakh”, Matem. modelirovanie, 1:4 (1989), 87–99 | MR | Zbl
[16] Kislov V. V., Kriksin Yu. A., Taranov I. V., “Modelirovanie dinamiki lengmyurovskogo monosloya”, Matem. modelirovanie, 3:12 (1991), 39–46
[17] Liberman M., Likhtenberg A., Regulyarnaya i stokhasticheskaya dinamika, Mir, M., 1984
[18] Khaken G., Sinergetika. Ierarkhiya neustoichivostei v samoorganizuyuschikhsya sistemakh i ustroistvakh, Mir, M., 1985 | MR