Hyperbolic systems in Gelfand and Shilov spaces

• Date: 2026
• Main Authors: Litovchenko, V. A., Літовченко, В. А.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1520
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.956.32, 517.955.2 For systems hyperbolic in Shilov's sense with time-dependent coefficients, the properties of the Green function are studied in the $S$-type spaces. For systems of this kind in the indicated spaces, we establish the correct solvability of the Cauchy problem. It...