An exact solution of boundary-value problem

• Date: 1999
• Main Authors: Khoma, N. H., Хома, H. Г.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4708
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions under which the problem $u_{tt} — u_{xx} = f(x, t),\; u(x, 0) = u(x, \pi) = 0$ possesses the classical solution.