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

• Datum: 2001
• Hauptverfasser: Bilusyak, N.I., Ptashnik, B. I., Білусяк, Н. І., Пташник, Б. Й.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4347
• Назва журналу: 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 +...