Geodesic
About one system of integral equations in kinetic theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 715-721

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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. 
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     title = {About one system of integral equations in kinetic theory},
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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/