About one system of integral equations in kinetic theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 715-721 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

One system of integral convolution equations is considered on a half-line with an noninvertible matrix integral operator whose symbol has a fourth-order zero. The application of a special factorization method makes it possible to distinguish noninvertible factors in the original noninvertible operator and reduce the system to a new system with a nonsingular integral operator. The structural theorem of the existence of a solution to the original system is proved.
@article{ZVMMF_2009_49_4_a12,
     author = {Ts. \`E. Terdzhyan and A. Kh. Khachatryan},
     title = {About one system of integral equations in kinetic theory},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {715--721},
     year = {2009},
     volume = {49},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a12/}
}
TY  - JOUR
AU  - Ts. È. Terdzhyan
AU  - A. Kh. Khachatryan
TI  - About one system of integral equations in kinetic theory
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 715
EP  - 721
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a12/
LA  - ru
ID  - ZVMMF_2009_49_4_a12
ER  - 
%0 Journal Article
%A Ts. È. Terdzhyan
%A A. Kh. Khachatryan
%T About one system of integral equations in kinetic theory
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 715-721
%V 49
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a12/
%G ru
%F ZVMMF_2009_49_4_a12
Ts. È. Terdzhyan; A. Kh. Khachatryan. About one system of integral equations in kinetic theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 715-721. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a12/

[1] Cercignani C., The Boltzmann equation and it's applications, Springer, New York, 1988 | MR

[2] Barichello L. B., Siewert C. E., “The temperature-jump problem in rarefied gas dynamics”, EJAM, 11 (2000), 353–364 | MR | Zbl

[3] Andriyan S. M., Khachatryan A. Kh., “On one problem in physical kinetics”, Comput. Math. Math. Physics, 45:11 (2005), 1982–1989 | MR | Zbl

[4] Arabadzhyan L. G., Engibaryan N. B., “Uravneniya v svertkakh i nelineinye funktsionalnye uravneniya”, Itogi nauki i tekhn. Matem. analiz, 22, 1984, 175–244 | MR

[5] Gokhberg I. Ts., Krein M. G., “Sistemy integralnykh uravnenii na polupryamoi s yadrami, zavisyaschimi ot raznosti argumentov”, Uspekhi matem. nauk, 13:2 (1958), 3–72 | MR

[6] Engibaryan N. B., Arabadzhyan L. G., “Sistemy integralnykh uravnenii Vinera–Khopfa i nelineinye uravneniya faktorizatsii”, Matem. sb., 124:2(6) (1984), 189–216 | MR | Zbl

[7] Ivanov V. V., Rybicki G. B., Kasaurov A. M., Albedo shifting, harward Smithsonian center for astrophysics, Preprint Series no 3478, 1992

[8] Engibaryan H. B., Engibaryan B. H., “O metode sdviga albedo”, Astrofiz., 38:3 (1995), 417–431 | MR