On the theory of convolution equations of the third kind |
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Authors: | Lothar von Wolfersdorf |
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Affiliation: | TU, Bergakademie Freiberg, Fakultät für Mathematik und Informatik, D-09596 Freiberg, Germany |
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Abstract: | The autoconvolution equation of the third kind with coefficient of general power type is dealt with by the method of weighted norms developed for equations with coefficients of linear and integer power type in recent joint work of the author with L. Berg, J. Janno, and B. Hofmann. For this equation two existence theorems and a uniqueness theorem are proved. Further, as an auxiliary equation a linear singular integral equation of Abel is treated anew and the existence of solutions to a related class of linear Volterra equations of the third kind is derived. |
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Keywords: | Quadratic integral equations Autoconvolution equations Linear singular Volterra equations Abel type integral equations |
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