A periodic problem for the inhomogeneous equation of string oscillations

• Datum: 1997
• Hauptverfasser: Mitropolskiy, Yu. A., Khoma, G. P., Tsynalko, P. V., Митропольський, Ю. О., Хома, Г. П., Цинайко, П. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5031
• Назва журналу: 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.