Extremum Problem for the Wiener–Hopf Equation

• Date: 2000
• Main Authors: Cherskii, Yu. I., Черський, Ю. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4520
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The extremum problem for the Wiener–Hopf equation obtained by replacing the condition u(x) = 0, x < 0, by the condition of the minimum of the quadratic functional of the function u(x)exp(−x), −∞ < x < ∞, is solved in closed form.