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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2003, Issue 1, Pages 21–26
(Mi uzeru510)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
The etimation of one Volterian type integral equation
Kh. A. Khachatryan Institute of Mathematics, Academy of Sciences of ArmSSR
Abstract:
In present paper one Volterian type integral equation with stochastic kernel is considered. Special factorization allows to reduce it to new equation with contracted operator, as well as to find asymptotic behavior of the solution depending on properties of free term. It was shown that obtained estimation is exact. The results for Volterian type equation with variable lower limit are applied.
Keywords:
Stochastic kernel, equation with contracted operator.
Received: 11.03.2002 Accepted: 10.03.2003
Citation:
Kh. A. Khachatryan, “The etimation of one Volterian type integral equation”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 1, 21–26
Linking options:
https://www.mathnet.ru/eng/uzeru510 https://www.mathnet.ru/eng/uzeru/y2003/i1/p21
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