Problem with nonlocal conditions for weakly nonlinear hyperbolic equations

• Date: 1997
• Main Authors: Goi, T. P., Ptashnik, B. I., Гой, Т. П., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4996
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For weakly nonlinear hyperbolic equations of order n, n≥3, with constant coefficients in the linear part of the operator, we study a problem with nonlocal two-point conditions in time and periodic conditions in the space variable. Generally speaking, the solvability of this problem is connected with...