On the basis of a new approach, we prove the uniqueness theorem and construct Lavrent’ev’s regularizing operators for the solution of nonclassical linear Volterra integral equations of the first kind with nondifferentiable kernels.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 2, pp. 161–172, February, 2020.
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Asanov, A., Bekeshov, T. On One Class of Nonclassical Linear Volterra Integral Equations of the First Kind. Ukr Math J 72, 177–190 (2020). https://doi.org/10.1007/s11253-020-01774-1
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DOI: https://doi.org/10.1007/s11253-020-01774-1