Boundary-value problems for hyperbolic equations with constant coefficients

• Date: 1994
• Main Authors: Bobyk, I. O., Ptashnik, B. I., Бобик, І. О., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5669
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using a metric approach, we study the problem of well-posedness of boundary-value problems for hyperbolic equations of ordern $(n ≥ 2)$ with constant coefficients in a cylindrical domain. Conditions of existence and uniqueness of solutions are formulated in number-theoretic terms. We prove a metr...