Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Variable Coefficients

• Date: 2001
• Main Authors: Bilusyak, N.I., Ptashnik, B. I., Білусяк, Н. І., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4347
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the unique solvability of a boundary-value problem for a weakly nonlinear hyperbolic equation of order 2n, n > (3p + 1)/2, with coefficients dependent on the space coordinates and data given on the entire boundary of a cylindric domain \(D \subset \mathbb{R}^{p +...