The structure of fractional spaces generated by the two-dimensional difference operator on the half plane

• Date: 2018
• Main Authors: Akturk, S., Ashyralyev, A., Актюрк, С., Аширалієв, A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1614
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a difference operator approximation $A^x_h$ of the differential operator $A^xu(x) = a_{11}(x)u_{x_1 x_1}(x) - a_{22}(x)u_{x_2x_2} (x) + \sigma u(x),\; x = (x_1, x_2)$ defined in the region $R^{+} \times R$ with the boundary condition $u(0, x_2) = 0,\; x_2 \in R$. Here, the coefficients...