Geodesic
About the works by Yu.\,S.~Kolesov on differential equations
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 3, pp. 5-12.

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

The article describes the most interesting, in the author's opinion, results obtained by Yu. S. Kolesov, devoted to differential equations (common, functional-differential, with partial derivatives) and their applications to the mathematical ecology, radiophysics, automatic regulation, mechanics.
Keywords: stability, Frechet derivative, spectrum
Mots-clés : diffusion, bifurcation. 
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V. Sh. Burd. About the works by Yu.\,S.~Kolesov on differential equations. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 3, pp. 5-12. http://geodesic.mathdoc.fr/item/MAIS_2009_16_3_a0/

[1] Yu. S. Kolesov, M. A. Krasnoselskii, “Ustoichivost po Lyapunovu i uravneniya s vognutymi operatorami”, Dokl. AN SSSR, 145:6 (1962), 1217–1220 | MR | Zbl

[2] Yu. S. Kolesov, “O nekotorykh priznakakh suschestvovaniya ustoichivykh periodicheskikh reshenii u kvazilineinykh parabolicheskikh uravnenii”, Dokl. AN SSSR, 157:6 (1964), 1288–1290 | MR | Zbl

[3] M. A. Krasnoselskii, V. Sh. Burd, Yu. S. Kolesov, Nelineinye pochti periodicheskie kolebaniya, Nauka, M., 1970, 352 pp. | MR

[4] Yu. S. Kolesov, “Issledovanie ustoichivosti reshenii parabolicheskikh uravnenii vtorogo poryadka v kriticheskom sluchae”, Izvestiya AN SSSR. Seriya matematicheskaya, 33:6 (1969), 1356–1372 | MR | Zbl

[5] Yu. S. Kolesov, “Periodicheskie resheniya releinykh sistem s raspredelennymi parametrami”, Matematicheskii sbornik, 83(125):3(11) (1970), 349–371 | MR | Zbl

[6] J. Mawhin, C. Mucoz, “Application du degrè topologique a lèstimation du nombre des solutions pèriodiques dèquations diffèrentielles. I. Solutions pèriodiques quelconques”, Annali di Matematica, 96:1 (1973), 1–19 | DOI | Zbl

[7] Yu. S. Kolesov, V. V. Maiorov, “Obosnovanie algoritma issledovaniya ustoichivosti reshenii lineinykh pochti periodicheskii uravnenii s posledeistviem, koeffitsienty kotorykh blizki k postoyannym”, Vestnik Yaroslavskogo un-ta, no. 10, YarGU, Yaroslavl, 1974, 70–105 | MR

[8] Yu. S. Kolesov, “Garmonicheskie avtokolebaniya differentsialnykh uravnenii $n$-go poryadka s posledeistviem”, Vestnik Yaroslavskogo un-ta, no. 7, YarGU, Yaroslavl, 1974, 3–88 | MR

[9] Yu. S. Kolesov, V. V. Maiorov, “Novyi metod issledovaniya ustoichivosti reshenii lineinykh pochti periodicheskikh uravnenii, koeffitsienty kotorykh blizki k postoyannym”, Differentsialnye uravneniya, 10:10 (1974), 1778–1788 | MR | Zbl

[10] Yu. S. Kolesov, “Ob ustoichivosti lineinykh differentsialnykh uravnenii parabolicheskogo tipa s pochti periodicheskimi koeffitsientami”, Trudy Moskovskogo matematicheskogo obschestva, 36, 1978, 2–27 | MR

[11] Yu. S. Kolesov, D. I. Shvitra, Avtokolebaniya v sistemakh s zapazdyvaniem, Mokslas, Vilnyus, 1979, 146 pp. | MR | Zbl

[12] Yu. S. Kolesov, “Rezonansy v ekologii”, Issledovaniya po ustoichivosti i teorii kolebanii, YarGU, Yaroslavl, 1978, 26–42 | MR | Zbl

[13] Yu. S. Kolesov, “Matematicheskie modeli ekologii”, Issledovaniya po ustoichivosti i teorii kolebanii, YarGU, Yaroslavl, 1979, 3–40 | MR | Zbl

[14] A. B. Vasileva, S. A. Kaschenko, Yu. S. Kolesov, N. Kh. Rozov, “Bifurkatsiya avtokolebanii nelineinykh parabolicheskikh uravnenii s maloi diffuziei”, Matematicheskii sbornik, 130(172):4(8) (1986), 488–499 | MR

[15] E. F. Mischenko, Yu. S. Kolesov, A. Yu. Kolesov, N. Kh. Rozov, Periodicheskie dvizheniya i bifurkatsionnye protsessy v singulyarno vozmuschennykh sistemakh, Nauka, M., 1995, 336 pp. | MR

[16] A. Yu. Kolesov, Yu. S. Kolesov, Relaksatsionnye kolebaniya v matematicheskikh modelyakh ekologii, Trudy MIAN, 198, 1993

[17] A. A. Zakharov, Yu. S. Kolesov, “Prostranstvenno neodnorodnye rezhimy v zadache khischnik – zhertva”, Nelineinye kolebaniya i ekologiya, 1984, 3–15, YarGU, Yaroslavl | MR

[18] Yu. S. Kolesov, “Postroenie matritsy s neotritsatelnymi elementami po ee zadannomu spektru”, Matematicheskie zametki, 53:1 (1993), 143–145 | MR | Zbl

[19] Yu. S. Kolesov, “Svoistva kharakteristicheskikh mnogochlenov matrits s neotritsatelnymi elementami”, Uspekhi matematicheskikh nauk, 26(159):3 (1971), 205–206 | MR | Zbl

[20] Yu. S. Kolesov, “Struktura kharakteristicheskikh mnogochlenov matrits s neotritsatelnymi elementami”, Izvestiya RAN. Seriya matem., 71:1 (2007), 5–16 | MR

[21] M. A. Krasnosel'skij, V. Sh. Burd, Yu. S. Kolesov, Nonlinear almost periodic oscillations, John Wiley Sons, New York etc., 1973, 326 pp. | MR

[22] E. F. Mishchenko, Yu. S. Kolesov, A. Yu. Kolesov, N. Kh. Rozov, Asymptotic methods in singularly perturbed systems, Monographs in Contemporary Mathematics, New York, 1994, 281 pp. | MR