A multipoint problem with multiple nodes for linear hyperbolic equations

• Date: 1999
• Main Authors: Beresnevich, V. V., Bernik, V. I., Vasylyshyn, P. B., Ptashnik, B. I., Бересневіч, В. В., Бернік, В. І., Василишин, П. Б., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4729
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the unique solvability of a multipoint (with respect to the time coordinate) problem with multiple nodes for linear hyperbolic equations with constant coefficients in the class of functions periodic in the space variable. We prove metric statements concerning lower bounds...