Geodesic
On one problem in physical kinetics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2061-2069

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The temperature-jump problem in physical kinetics with accommodation is considered. The problem is reduced to a symmetric system of integral equations with a total-difference kernel on a half-line. The existence of a solution to the obtained system is proved by applying a special factorization. An analytical solution to the system of integral equations is proposed, and its asymptotic behavior is investigated. 
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     author = {S. M. Andriyan and A. Kh. Khachatryan},
     title = {On one problem in physical kinetics},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2061--2069},
     publisher = {mathdoc},
     volume = {45},
     number = {11},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a13/}
}
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S. M. Andriyan; A. Kh. Khachatryan. On one problem in physical kinetics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2061-2069. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a13/