Existence of the Vejvoda-Shtedry spaces

• Date: 1997
• Main Authors: Botyuk, A. O., Khoma, G. P., Khoma, L. G., Ботюк, А. О., Хома, Г. П., Хома, Л. Г.
• 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/5007
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces.