Geodesic
The etimation of one Volterian type integral equation
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2003), pp. 21-26

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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. 
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Kh. A. Khachatryan. The etimation of one Volterian type integral equation. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2003), pp. 21-26. http://geodesic.mathdoc.fr/item/UZERU_2003_1_a2/