Geodesic
About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 40-49 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, a number of boundary tasks for the equation of the fourth order of a parabolo-hyperbolic type look $(a_1 \partial/ \partial x+b_1 \partial/ \partial y)(a_2 \partial/ \partial x+b_2 \partial / \partial y)(Lu)=0$ is put in pentagonal area. Unequivocal resolvability of one of put tasks is proved by methods of creation of the decision, the integrated and differential equations.
Keywords: differential and integrated equations, method of creation of the decision, boundary task, unequivocal resolvability. 
@article{VKAM_2018_4_a3,
     author = {S. M. Mamajonov},
     title = {About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {40--49},
     year = {2018},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_4_a3/}
}
TY  - JOUR
AU  - S. M. Mamajonov
TI  - About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2018
SP  - 40
EP  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VKAM_2018_4_a3/
LA  - ru
ID  - VKAM_2018_4_a3
ER  - 
%0 Journal Article
%A S. M. Mamajonov
%T About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2018
%P 40-49
%N 4
%U http://geodesic.mathdoc.fr/item/VKAM_2018_4_a3/
%G ru
%F VKAM_2018_4_a3
S. M. Mamajonov. About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 40-49. http://geodesic.mathdoc.fr/item/VKAM_2018_4_a3/

[1] Dzhuraev T. D., Mamazhanov M., “Kraevye zadachi dlya odnogo klassa uravnenij chetvertogo poryadka smeshannogo tipa”, Differencial'nye uravneniya, 200:1 (1986), 25–31

[2] Dzhuraev T. D., Sopuev A., Mamazhanov M., “Kraevye zadachi dlya uravnenij parabolo-giperbolicheskogo tipa”, Fan, 1986, 220 pp. | MR