Geodesic
Density of distribution of light intensity in the case of absorbing clouds
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 126-129

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In this article we consider a generalization of the Ambartsumyan's model on the absorption of light in the interstellar space for the case when there are $n$ types of absorbing clouds uniformly distributed in the equatorial plane of the Galaxy and having different optical transparencies. It is also supposed that the number of clouds having a preassigned transparency and located in a preassigned direction of the equatorial plane to the distance $s$ from an observer is a random function and for every fixed $s$ has Poisson distribution.
Keywords: Ambartsumyan's model, absorption of light in interstellar space, $q$-difference differential equation. 
N. P. Evlampiev; V. S. Mokeichev; I. E. Filippov. Density of distribution of light intensity in the case of absorbing clouds. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 126-129. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a9/
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[3] Evlampiev N. P., Filippov I. E., “Nakhozhdenie funktsii raspredeleniya pogloscheniya sveta v mezhzvëzdnom prostranstve”, Tez. dokl. Desyatogo chekhoslov.-sov. sovesch. “Primenenie funktsionalnykh metodov i metodov teorii funktsii k zadacham matematicheskoi fiziki”, Stara-Tura, 1988, 51

[4] Mokeichev V. S., Evlampiev N. P., “O reshenii na poluosi differentsialno-raznostnogo uravneniya”, Izv. vuzov. Matem., 1991, no. 4, 44–47 | MR | Zbl