# On the Solutions of a Quadratic Integral and an Integral-Differential Equation

### Lothar von Wolfersdorf

Technische Universität, Freiberg, Germany

## Abstract

An integral equation and a related integral-differential equation of first order over $\mathbb R_+$ with a quadratic integral term representing the so-called autocorrelation of the unknown function is dealt with. For both equations the general solution is constructed and estimated in the $L^2$-norm. Further, the asymptotic behaviour and the stability of the solution are investigated.

## Cite this article

Lothar von Wolfersdorf, On the Solutions of a Quadratic Integral and an Integral-Differential Equation. Z. Anal. Anwend. 21 (2002), no. 2, pp. 381–398

DOI 10.4171/ZAA/1084