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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 4, Pages 25–30
(Mi uzku1277)
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This article is cited in 3 scientific papers (total in 3 papers)
On a generalization of Ambartsumyan's equation
N. P. Evlampieva, A. M. Sidorovb, I. E. Philippovc a "Intek plyus", Kazan, Russia
b Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
c Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Abstract:
The paper discusses the functional-differential equation
$$
y'(t)+ay(t)=\sum^n_{j=1}b_jy(\lambda_jt),\qquad t>0,
$$
where $a>0$, $b_j\in R$, $\lambda>1$. Such equation arises from a generalization of Ambartsumyan's model of light absorption in the interstellar space. The existence of the solution to this equation, which can be written in the form of a series, is demonstrated.
Keywords:
Ambartsumyan's equation, functional-differential equation, recurrence relation, existence theorem.
Received: 23.07.2014
Citation:
N. P. Evlampiev, A. M. Sidorov, I. E. Philippov, “On a generalization of Ambartsumyan's equation”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 4, Kazan University, Kazan, 2014, 25–30
Linking options:
https://www.mathnet.ru/eng/uzku1277 https://www.mathnet.ru/eng/uzku/v156/i4/p25
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Abstract page: | 387 | Full-text PDF : | 140 | References: | 43 |
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