JournalszaaVol. 24 , No. 2DOI 10.4171/zaa/1238

On a Class of Generalized Autoconvolution Equations of the Third Kind

  • Lothar Berg

    Universität Rostock, Germany
  • Lothar von Wolfersdorf

    Technische Universität, Freiberg, Germany
On a Class of Generalized Autoconvolution Equations of the Third Kind cover

Abstract

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.