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Autoconvolution equations of the third kind with Abel integral. (English) Zbl 1219.45002
Summary: A class of autoconvolution equations of the third kind with additional fractional integral is investigated. Two general existence theorems are proved, and a new type of solutions is shown for an exceptional equation of this class.

MSC:
45G10 Other nonlinear integral equations
45D05 Volterra integral equations
45E05 Integral equations with kernels of Cauchy type
45M05 Asymptotics of solutions to integral equations
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