Keywords: first boundary value problem.
@article{VKAM_2016_5_a6,
author = {R. Kh. Makaova},
title = {The first boundary value problem for the non-homogeneous {Hallaire} equation},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {45--49},
year = {2016},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2016_5_a6/}
}
R. Kh. Makaova. The first boundary value problem for the non-homogeneous Hallaire equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 5 (2016), pp. 45-49. http://geodesic.mathdoc.fr/item/VKAM_2016_5_a6/
[1] Nahushev A. M., Zadachi so smeshheniem dlja uravnenij v chastnyh proizvodnyh, Nauka, Moskva, 2006, 287 pp.
[2] Showalter R. E., Ting T. W., “Pseudoparabolic partial differential equations”, SIAM J. Math. Anal., 1:1 (1970), 1–26 | DOI | MR | Zbl
[3] Barenblatt G. I., Zheltov Iu. P., Kochina I. N., “Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]”, PMM, 24:5 (1960), 852–864 | Zbl
[4] Coleman B. D., Duffin R. J., Mizel V. J., “Instability, Uniqueness, and Nonexistence Theorems for the Equation on a Strip”, Arch. Rat. Mech. Anal., 19 (1965), 100–116 | DOI | MR | Zbl
[5] Yangarber V. A., “The mixed problem for a modified moisture-transfer equation”, Journal of Applied Mechanics and Technical Physics, 8:1 (1967), 62–64 | DOI
[6] Shhanukov M. H., “O nekotoryh kraevyh zadachah dlja uravnenij tret'ego porjadka, voznikajushhih pri modelirovanii fil'tracii zhidkosti v poristyh sredah”, Differenc. uravnenija, 18:4 (1982), 689–699 | MR | Zbl
[7] Vodahova V. A., “Kraevaja zadacha s nelokal’nym usloviem A.M. Nahusheva dlja odnogo psevdoparabolicheskogo uravnenija vlagoperenosa”, Differenc. uravnenija, 18:18 (1982), 280–285 | MR | Zbl
[8] Makaova R. H., “Zadacha Trikomi dlja odnogo uravnenija smeshannogo tipa”, Doklady Adygskoj (Cherkesskoj) Mezhdunarodnoj Akademii nauk, 17:1 (2015), 22–24
[9] Bugrov Ja. S., Nikol'skij S.M., Vysshaja matematika, Drofa, Moskva, 2004, 512 pp. | MR
[10] Colton D., “Pseudoparabolic Equations in One Space Variable”, Journal of Differ. Equations, 12:3 (1972), 559–565 | DOI | MR | Zbl