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Autoconvolution equations of the third kind with power-logarithmic coefficients
Authors:Lothar von Wolfersdorf
Institution:1. Fakult?t für Mathematik und Informatik , TU Bergakademie Freiberg , D-09596 Freiberg, Germany wolfersd@math.tu-freiberg.de
Abstract:Existence and uniqueness theorems for a basic class of autoconvolution equations of the third kind with power-logarithmic coefficeint and free term are derived. Under suitable assumptions the existence of a solitary solution and of a one-parametric family of solutions is proved.
Keywords:quadratic integral equations  autoconvolution equations  linear singular Volterra equations
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