Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (237 KB) | Metadata | Table of Contents | ZAA summary
Published online: 2002-06-30
On the Solutions of a Quadratic Integral and an Integral-Differential EquationLothar von Wolfersdorf
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.
Keywords: Nonlinear integral equations, nonlinear integro-ordinary differential equations, boundary value problems for holomorphic functions
von Wolfersdorf Lothar: On the Solutions of a Quadratic Integral and an Integral-Differential Equation. Z. Anal. Anwend. 21 (2002), 381-398. doi: 10.4171/ZAA/1084