Geodesic
Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 38-44 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper investigates a boundary value problem with a shift for a third-order hyperbolic equation, which contains a derivative in the boundary conditions. A uniqueness and existence theorem for a regular solution of the problem under study is proved.
Keywords: boundary value problem with displacement, hyperbolic equations
Mots-clés : Hallaire equation. 
@article{VKAM_2021_37_4_a4,
     author = {R. Kh. Makaova},
     title = {Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {38--44},
     year = {2021},
     volume = {37},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a4/}
}
TY  - JOUR
AU  - R. Kh. Makaova
TI  - Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2021
SP  - 38
EP  - 44
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a4/
LA  - ru
ID  - VKAM_2021_37_4_a4
ER  - 
%0 Journal Article
%A R. Kh. Makaova
%T Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2021
%P 38-44
%V 37
%N 4
%U http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a4/
%G ru
%F VKAM_2021_37_4_a4
R. Kh. Makaova. Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 38-44. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a4/

[1] Hallaire M., “L'eau et la productions vegetable”, Institut National de la Recherche Agronomique, 9 (1964)

[2] Showalter R. E., Ting T. W., “Pseudoparabolic partial differential equations”, SIAM J. Math. Anal., 1:1 (1970), 1–26 | DOI | Zbl

[3] Nakhushev A. M., Uravneniya matematicheskoj biologii, Vyssh. shk., M., 1995, 301 pp. (In Russian)

[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 | 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] Colton D., “Pseudoparabolic Equations in One Space Variable”, Journal of Differ. Equations, 12:3 (1972), 559–565 | DOI | Zbl

[7] Shkhanukov M. H., “O nekotoryh kraevyh zadachah dlya uravnenij tret'ego poryadka, voznikayushchih pri modelirovanii fil'tracii zhidkosti v poristyh sredah”, Differenc. uravneniya, 18:4 (1982), 689–699 (In Russian) | Zbl

[8] Makaova R. Kh., “Vtoraya kraevaya zadacha dlya obobshchennogo uravneniya Allera s drobnoj proizvodnoj Rimana–Liuvillya”, Doklady Adygskoj (CHerkesskoj) Mezhdunarodnoj akademii nauk, 17:3 (2015), 35–38 (In Russian)

[9] Makaova R. Kh., “Pervaya kraevaya zadacha v nelokal'noj postanovke dlya obobshchennogo uravneniya Allera s drobnoj proizvodnoj Rimana - Liuvillya”, Vestnik AGU. Seriya 4: Estestvenno-matematicheskie i tekhnicheskie nauki, 4:211 (2017), 36–41 (In Russian)

[10] Nahushev A. M., “O nekotoryh kraevyh zadachah dlya giperbolicheskih uravnenij i uravnenij smeshannogo tipa”, Differenc. uravneniya, 5:3 (1969), 44–59 (In Russian) | Zbl

[11] Nahushev A. M., “Novaya kraevaya zadacha dlya odnogo vyrozhdayushchegosya giperbolicheskogo uravneniya”, Dokl. AN SSSR, 187:4 (1969), 736–739 (In Russian) | Zbl

[12] Balkizov Zh. A., “On a boundary value problem for a third-order parabolic-hyperbolic type equation with a displacement boundary condition in its hyperbolicity domain”, J. Samara State Tech. Univ., Ser. Phys. Math. Sci., 24:2 (2020), 211–225 | Zbl

[13] Repin O. A., Kraevye zadachi so smeshcheniem dlya uravnenij giperbolicheskogo i smeshannogo tipov., Samar. fil. Sarat. un-ta, Samara, 1992, 161 pp. (In Russian)

[14] Nakhushev A. M., Zadachi so smeshcheniem dlya uravnenij v chastnyh proizvodnyh, Nauka, M., 2006, 287 pp. (In Russian)