On a Class of Generalized Autoconvolution Equations of the Third Kind

On a Class of Generalized Autoconvolution Equations of the Third Kind

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 t...

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 2005-01, Vol.24 (2), p.203-250, Article 217
Hauptverfasser: Berg, Lothar, von Wolfersdorf, Lothar
Format: Artikel
Sprache:eng
Schlagworte:
Integral equations
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Zusammenfassung: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.
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/1238