Arlen Mikhailovich Il'in (on the occasion of the 70th anniversary)

V. M. Babich ; L. A. Kalyakin ; M. D. Ramazanov ; N. Kh. Rozov

Trudy Instituta matematiki i mehaniki, Asymptotic expansions, approximation theory, topology, Tome 9 (2003) no. 1, pp. 3-9

Bibliographie

[1] “O zadache Dirikhle dlya uravneniya ellipticheskogo tipa, vyrozhdayuschegosya na nekotorom mnozhestve vnutrennikh tochek oblasti”, Dokl. AN SSSR, 102:1 (1955), 9–12

[2] “O povedenii reshenii zadachi Koshi dlya nekotorykh kvazilineinykh uravnenii pri neogranichennom vozrastanii vremeni”, Dokl. AN SSSR, 120:1 (1958), 25–28 (with Oleinik O. A.)

[3] “Vyrozhdayuschiesya ellipticheskie i parabolicheskie uravneniya”, Mat. sb., 50(92):4 (1960), 443–498 | Zbl

[4] “Asimptoticheskoe povedenie reshenii zadachi Koshi dlya nekotorykh kvazilineinykh uravnenii pri bolshikh znacheniyakh vremeni”, Mat. sb., 51(93):2 (1960), 191–216 (with Oleinik O. A.)

[5] “O povedenii resheniya zadachi Koshi dlya parabolicheskogo uravneniya pri neogranichennom vozrastanii vremeni”, Uspekhi mat. nauk, 16:2 (1961), 115–121 | MR | Zbl

[6] “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, Uspekhi mat. nauk, 17:3 (1962), 3–146 (with Oleinik O. A. i Kalashnikovym A. S.) | MR

[7] “Ob ergodicheskom svoistve neodnorodnykh diffuzionnykh protsessov”, Dokl. AN SSSR, 145:5 (1962), 986–988 (with Khasminskim R. Z.)

[8] “O fundamentalnom reshenii parabolicheskogo uravneniya”, Dokl. AN SSSR, 147:4 (1962), 768–771 | Zbl

[9] “Asimptoticheskoe povedenie reshenii parabolicheskikh uravnenii i ergodicheskoe svoistvo neodnorodnykh diffuzionnykh protsessov”, Mat. sb., 60:3 (1963), 366–392 (with Khasminskim R. Z.)

[10] “O vliyanii treniya na okeanicheskie techeniya”, Dokl. AN SSSR, 150:6 (1963), 1274–1277 (with Kamenkovichem V. M.)

[11] “Ob uravnenii brounovskogo dvizheniya”, Teoriya veroyatnostei i ee primeneniya, 9:3 (1964), 466–491 (with Khasminskim R. Z.)

[12] “Ob odnom klasse ultraparabolicheskikh uravnenii”, Dokl. AN SSSR, 159:6 (1964), 1214–1217 | MR | Zbl

[13] “O strukture pogranichnogo sloya v dvumernoi teorii okeanicheskikh techenii”, Okeanologiya, 4:5 (1964), 756–769 (with Kamenkovichem V. M.)

[14] “Ob additivnykh tsepochkakh chisel”, Problemy kibernetiki, 1965, no. 13, 245–248

[15] “O sobstvennykh funktsiyakh ellipticheskogo operatora v nekotorykh neogranichennykh oblastyakh”, Dokl. AN SSSR, 161:4, 757–759 | Zbl

[16] “Ustoichivost raznostnykh skhem zadachi Koshi dlya sistem differentsialnykh uravnenii v chastnykh proizvodnykh”, Dokl. AN SSSR, 164:3 (1965), 491–494 | Zbl

[17] “O parabolicheskikh uravneniyakh s nepreryvnymi koeffitsientami”, Dokl. AN SSSR, 171:6 (1966), 1264–1267 | MR | Zbl

[18] “O parabolicheskikh uravneniyakh, koeffitsienty kotorykh ne udovletvoryayut usloviyu Dini”, Mat. zametki, 1:1 (1967), 71–80 | Zbl

[19] “O chisle arifmeticheskikh deistvii, neobkhodimom dlya priblizhennogo resheniya integralnogo uravneniya Fredgolma II roda”, Zhurn. vychisl. matematiki i mat. fiziki, 7:4 (1967), 905–910 (with Emelyanovym K. V.)

[20] “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Mat. zametki, 6:2 (1969), 237–248 | Zbl

[21] “Pervaya kraevaya zadacha dlya uravneniya brounovskogo dvizheniya na polupryamoi”, Mat. zap. Ural. gos. un-ta, 7 (1969), 59–75 (with Shishkinym G. I.), tetr. 2

[22] “Ob asimptotike resheniya odnoi kraevoi zadachi”, Mat.zametki, 8:3 (1970), 273–284 | Zbl

[23] “O povedenii resheniya odnoi kraevoi zadachi pri $t\to\infty$”, Mat. sb., 87(129):4 (1972), 529–553 | Zbl

[24] “O metode sraschivaniya asimptoticheskikh razlozhenii”, Dokl. AN SSSR, 217:5 (1974), 1033–1036 (with Gorkovym Yu. P. i Lelikovoi E. F.)

[25] “Asimptotika resheniya ellipticheskogo uravneniya s malym parametrom pri starshikh proizvodnykh v okrestnosti osoboi kharakteristiki predelnogo uravneniya”, Tr. seminara im. I. G. Petrovskogo, Vyp. 1, M., 1975, 75–133 (with Gorkovym Yu. P. i Lelikovoi E. F.)

[26] “Metod sraschivaniya asimptoticheskikh razlozhenii dlya uravneniya $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ v pryamougolnike”, Mat. sb., 96:4 (1975), 568–583 (with Lelikovoi E. F.) | MR

[27] “O metode setok resheniya zadachi Dirikhle dlya uravneniya Laplasa v sluchae razryvnykh granichnykh uslovii”, Raznostnye metody resheniya kraevykh zadach s malym parametrom i razryvnymi kraevymi usloviyami, Vyp. 21, UNTs AN SSSR, Sverdlovsk, 1976, 44–51

[28] “Kraevaya zadacha dlya odnogo differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Kraevye zadachi matematicheskoi fiziki i ikh prilozheniya, BFAN SSSR, Ufa, 1976, 3–17 (with Shaigardanovym Yu. Z.)

[29] “Kraevaya zadacha dlya ellipticheskogo uravneniya vtorogo poryadka v oblasti s uzkoi schelyu. 1. Dvumernyi sluchai”, Mat. sb., 99(141):4 (1976), 514–537 | MR | Zbl

[30] “Kraevaya zadacha dlya ellipticheskogo uravneniya vtorogo poryadka v oblasti s uzkoi schelyu. 2. Oblast s malym otverstiem”, Mat. sb., 103(145):2(6) (1977), 265–284 | MR | Zbl

[31] Asimptotika resheniya zadachi Koshi dlya odnogo kvazilineinogo uravneniya s malym parametrom, Dokl. AN SSSR, 240:1 (1978), 11–13 (with Nesterovoi T. N.) | MR

[32] “Ob asimptotike resheniya kraevoi zadachi na polupryamoi dlya odnogo parabolicheskogo uravneniya”, Primenenie metoda soglasovaniya asimptot, razlozhenii k kraevym zadacham dlya differents. uravnenii, Tr. In-ta matematiki i mekhaniki UNTs AN SSSR, 28, Sverdlovsk, 1979, 81–92 | Zbl

[33] “Metod soglasovaniya asimptoticheskikh razlozhenii dlya odnoi ellipticheskoi kraevoi zadachi s malym parametrom”, Differents. uravneniya s malym parametrom, UNTs, Sverdlovsk, 1980, 8–15 (with Nasirovym K. Kh.)

[34] “Asimptotika resheniya uravneniya Puassona vne polupolosy”, Metod soglasovaniya asimptot, razlozhenii v zadachakh s singulyar. vozmuscheniyami, BFAN SSSR, Ufa, 1980, 115–134

[35] “Issledovanie asimptotiki resheniya ellipticheskoi kraevoi zadachi v oblasti s malym otverstiem”, Tr. seminara im. I. G. Petrovskogo, Vyp. 6, 1981, 57–82

[36] “Struktura udarnoi volny pri nalichii maloi vyazkosti”, Nelineinye volny, Nauka, M., 1981, 234–237

[37] “Asimptotika resheniya kraevoi zadachi dlya uravneniya Puassona vne tsilindra i vne polutsilindra”, Mat. sb., 118(160):2(6) (1982), 184–202 | MR | Zbl

[38] “Malogo parametra metod dlya differentsialnykh uravnenii s chastnymi proizvodnymi”, Mat. entsiklopediya, T. 3, 1982, 498–506 (with Fedoryukom M. V.)

[39] “Asimptotika reshenii nekotorykh ellipticheskikh uravnenii v neogranichennykh oblastyakh”, Mat. sb., 119(161):3(11) (1982), 307–324 (with Lelikovoi E. F.) | MR

[40] “Asimptotika funktsii Grina dlya ellipticheskogo uravneniya vtorogo poryadka vblizi granitsy oblasti”, Izv. AN SSSR. Ser. mat., 47:6 (1983), 1322–1339 (with Suleimanovym B. I.) | MR

[41] “Asimptotika reshenii nekotorykh ellipticheskikh uravnenii vysokogo poryadka v neogranichennykh oblastyakh”, Mat. sb., 125(167):1(9) (1984), 88–116 (with Lelikovoi E. F.) | MR

[42] “Ob odnom dostatochnom uslovii stabilizatsii resheniya parabolicheskogo uravneniya”, Mat. zametki, 37:6 (1985), 851–856 | MR

[43] “Zadacha Koshi dlya odnogo kvazilineinogo uravneniya s malym parametrom”, Dokl. AN SSSR, 283:3 (1985), 530–534 | MR | Zbl

[44] “Zadacha bez nachalnykh uslovii dlya uravneniya Byurgersa”, Uspekhi mat. nauk, 41:5 (1986), 208–209

[45] “Pogranichnyi sloi”, Itogi nauki i tekhniki. Sovrem. problemy matematiki. Fundament. issled., 34, VINITI, M., 1988, 175–213

[46] Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989, 336 pp. | MR

[47] Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Transl. Math. Monogr., 102, Rhode Island, AMS, Providence, 1992, 281 pp. | MR

[48] “Ob asimptotike statsionarnoi volny goreniya v kondensirovannoi srede”, Khim. fizika, 8:4 (1989), 525–532 (with Khudyaevym S. I.)

[49] “Ob asimptotike resheniya odnoi zadachi s malym parametrom”, Izv. AN SSSR. Ser. mat., 53:2 (1989), 258–275

[50] “Asimptotika resheniya zadachi o bystrodeistvii pri vozmuschenii nachalnykh uslovii”, Izv. RAN. Tekhn. kibernetika, 1994, no. 3, 96–103 (with Danilinym A. R.)

[51] “Asimptoticheskoe povedenie resheniya zadachi bystrodeistviya dlya lineinoi sistemy pri vozmuschenii nachalnykh dannykh”, Dokl. RAN, 350:2 (1996), 155–157 (with Danilinym A. R.) | MR

[52] “O vliyanii maloi dissipatsii na resheniya giperbolicheskoi sistemy, imeyuschie slabye razryvy”, Dokl. RAN, 351:5 (1996), 583–585 (with Neudachinym D. I.) | MR

[53] “The matching method for Asymptotic solutions in chemical physics problem”, Singular Perturbation Problems in Chemical Physics: Analytic and Computational Methods, Advances in Chemical Phys. Ser., 97, J. Wiley Sons, New Jork etc., 1997, 1–45 (with Kalyakin L. A., Maslennikov S. I.)

[54] “Ellipticheskoe uravnenie s malym parametrom pri starshikh proizvodnykh, vyrozhdayuscheesya na granitse oblasti”, Differents. uravneniya, 33:6 (1997), 847–848 (with Yalyshevoi T. Yu.)

[55] “Asimptotika resheniya ellipticheskogo uravnenie s malym parametrom pri starshikh proizvodnykh, vyrozhdayuschegosya na granitse oblasti. Sluchai slabogo vyrozhdeniya”, Differents. uravneniya, 34:8 (1997), 1092–1099 (with Zyryanovoi T. Yu.)

[56] “Asimptotika sobstvennykh znachenii zadachi Dirikhle v oblasti s uzkoi schelyu”, Mat. sb., 189:4 (1998), 25–48 (with Gadylshinym P. P.)

[57] “O strukture resheniya odnoi vozmuschennoi zadachi bystrodeistviya”, Fundament. i prikl. matematika, 4:3 (1998), 905–926 (with Danilinym A. R.) | MR

[58] “O metode dvukh masshtabov v zadache o vozmuschenii odnochastotnogo kolebaniya”, Teoret. i mat. fizika, 118:3 (1999), 383–389 | MR | Zbl

[59] “Ot slabogo razryva k gradientnoi katastrofe”, Mat. sb., 192:10 (2001), 3–18 (with Zakharovym S. V.) | MR