We study the problems of analytic theory and the numerical-analytic solution of the integral convolution equation of the second kind
where
The factorization approach is used and developed. The key role in this approach is played by the V. Ambartsumyan nonlinear equation.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 8, pp. 1092–1105, August, 2014.
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Engibaryan, N.B., Barsegyan, A.G. On One Convolution Equation in the Theory of Filtration of Random Processes. Ukr Math J 66, 1220–1235 (2015). https://doi.org/10.1007/s11253-015-1004-5
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DOI: https://doi.org/10.1007/s11253-015-1004-5