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Zeitschrift für Analysis und ihre Anwendungen


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Volume 24, Issue 2, 2005, pp. 203–250
DOI: 10.4171/ZAA/1238

Published online: 2005-06-30

On a Class of Generalized Autoconvolution Equations of the Third Kind

Lothar Berg[1] and Lothar von Wolfersdorf

(1) Universität Rostock, Germany

Existence, uniqueness, smoothness, and asymptotics of solutions to a class of generalized autoconvolution equations with outer and inner coefficient are investigated. Further, holomorphic and asymptotic solutions of the equations are derived, and a numerical procedure for an approximate solving of the equations is tested by an example.

Keywords: Quadratic integral equations, autoconvolution equations, asymptotic expansion of solutions, asymptotic solutions, smoothness of solutions, holomorphic solutions, numerical solution

Berg Lothar, von Wolfersdorf Lothar: On a Class of Generalized Autoconvolution Equations of the Third Kind. Z. Anal. Anwend. 24 (2005), 203-250. doi: 10.4171/ZAA/1238