A periodic problem for the inhomogeneous equation of string oscillations

• Date: 1997
• Main Authors: Mitropolskiy, Yu. A., Khoma, G. P., Tsynalko, P. V., Митропольський, Ю. О., Хома, Г. П., Цинайко, П. В.
• 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/5031
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a periodic problem for the equation u tt−uxx=g(x, t), u(x, t+T)=u(x, t), u(x+ω, t)= =u(x, t), ℝ2 and establish conditions of the existence and uniqueness of the classical solution.