@article{VMJ_2013_15_3_a2,
author = {M. H. Beshtokov},
title = {A priori estimates of the solutions of nonlocal boundary value problems for a~pseudo-parabolic equation},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {19--36},
year = {2013},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a2/}
}
TY - JOUR AU - M. H. Beshtokov TI - A priori estimates of the solutions of nonlocal boundary value problems for a pseudo-parabolic equation JO - Vladikavkazskij matematičeskij žurnal PY - 2013 SP - 19 EP - 36 VL - 15 IS - 3 UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a2/ LA - ru ID - VMJ_2013_15_3_a2 ER -
M. H. Beshtokov. A priori estimates of the solutions of nonlocal boundary value problems for a pseudo-parabolic equation. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 19-36. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a2/
[1] Barenblat G. I., Zheltov Yu. P., Kochina I. N., “Ob osnovnykh predstavleniyakh teorii filtratsii odnorodnykh zhidkostei v treschinovatykh porodakh”, Prikladnaya matematika i mekhanika, 25:5 (1960), 852–864
[2] Dzektser E. S., “Uravneniya dvizheniya podzemnykh vod so svobodnoi poverkhnostyu v mnogosloinykh sredakh”, Dokl. AN SSSR, 220:3 (1975), 540–543
[3] Rubinshtein L. I., “K voprosu o protsesse rasprostraneniya tepla v geterogennykh sredakh”, Izv. AN SSSR. Ser. geogr., 12:1 (1948), 27–45
[4] Ting T., Cooling A., “Process according to two temperature theory of heat conduction”, J. Math. Anal. Appl., 45:9 (1974), 23–31 | DOI | MR | Zbl
[5] Hallaire M., L'eau et la production vegetable, Institut National de la Recherche Agronomique, 1964, No 9
[6] Chudnovskii A. F., Teplofizika pochv, Nauka, M., 1976, 352 pp.
[7] Colton D. L., “Pseudoparabolic equations in one space variable”, J. Dif. Eq., 12 (1972), 559–565 | DOI | MR | Zbl
[8] Akhiev S. S., Guseinov O. M., O fundamentalnom reshenii odnoi kraevoi zadachi dlya giperbolicheskogo uravneniya tretego poryadka, Azerb. un-t, Baku, 1983, 9 pp.
[9] Vodakhova V. A., “Kraevaya zadacha s nelokalnym usloviem A. M. Nakhusheva dlya odnogo psevdoparabolicheskogo uravneniya vlagoperenosa”, Dif. uravneniya, 18:2 (1982), 280–285 | MR | Zbl
[10] Kozhanov A. I., “Ob odnoi nelokalnoi kraevoi zadache s peremennymi koeffitsientami dlya uravnenii teploprovodnosti i Allera”, Dif. uravneniya, 40:6 (2004), 763–774 | MR | Zbl
[11] Shkhanukov M. X., “O nekotorykh kraevykh zadachakh dlya uravneniya tretego poryadka, voznikayuschikh pri modelirovanii filtratsii zhidkosti v poristykh sredakh”, Dif. uravneniya, 18:4 (1982), 689–699 | MR | Zbl
[12] Chudnovskii A. F., “Nekotorye korrektivy v postanovke i reshenii zadach teplo- i vlagoperenosa v pochve”, Sb. tr. po agrofizike, 23, 1969, 41–54
[13] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 407 pp. | MR
[14] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983, 616 pp. | MR
[15] Andreev V. B., “O skhodimosti raznostnykh skhem, approksimiruyuschikh vtoruyu i tretyu kraevye zadachi dlya ellipticheskikh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 8:6 (1968), 1218–1231 | MR | Zbl
[16] Samarskii A. A., Gulin A. V., Ustoichivost raznostnykh skhem, Nauka, M., 1973, 416 pp. | Zbl
[17] Samarskii A. A., “Odnorodnye raznostnye skhemy na neravnomernykh setkakh dlya uravnenii parabolicheskogo tipa”, Zhurn. vychisl. matem. i matem. fiz., 3:2 (1963), 266–298 | MR | Zbl