Smooth Solutions to Hyperbolic by Shilov Systems

• Date: 2018
• Main Author: Літовченко, Владислав Антонович
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2018
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/159389
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

We consider a wide class of linear partial differential equations hyperbolic by Shilov, which covers the class of hyperbolic by Petrovsky systems with constant coefficients, and also the class of Gording equations. For such systems, the problem of finding smooth classical solutions, which are vector...