Solution of one boundary-value problem for a hyperbolic equation of the second order

• Date: 2000
• Main Authors: Khoma, S. G., Хома, С. Г.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4449
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We find conditions for the existence of the classical solution of the boundary-value problem u tt -u xx = f(x,t), u(0,t)=u(π, t)=0, u(x, 0)=u(x, 2π).