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On the solution of a Volterra equation of the first kind. (English. Russian original) Zbl 1331.45001

Differ. Equ. 51, No. 5, 674-682 (2015); translation from Differ. Uravn. 51, No. 5, 663-670 (2015).
Author’s abstract: Under certain conditions, a Volterra equation of the first kind can be reduced to a Volterra equation of the second kind. The probability theory of density reconstruction can be applied to the latter. A combination of the two approaches permits one to study the asymptotic behavior of the solution of the original Volterra equation of the first kind.

MSC:

45D05 Volterra integral equations
45M05 Asymptotics of solutions to integral equations
Full Text: DOI

References:

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