Autoconvolution equations of the third kind with power-logarithmic coefficients |
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Authors: | Lothar von Wolfersdorf |
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Affiliation: | 1. Fakult?t für Mathematik und Informatik , TU Bergakademie Freiberg , D-09596 Freiberg, Germany wolfersd@math.tu-freiberg.de |
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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. |
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Keywords: | quadratic integral equations autoconvolution equations linear singular Volterra equations |
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