Inverse problem in the space of generalized functions

• Date: 2016
• Main Authors: Lopushanskaya, G. P., Lopushanskyi, A. O., Rapita, V., Лопушанська, Г. П., Лопушанський, А. О., Рапіта, В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1837
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a linear nonhomogeneous diffusion equation with fractional derivative of order $\beta \in (0, 2)$ with respect to time, we establish a unique solvability of the inverse problem of determination of a pair of functions: the generalized solution u (classical as a function of time) of the first bo...