An integral equation and a related integral-differential equation of first order over 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 -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. 381–398DOI 10.4171/ZAA/1084