One Inverse Problem for the Diffusion-Wave Equation in Bounded Domain

• Date: 2014
• Main Authors: Lopushanskaya, G. P., Lopushanskyi, A. O., Лопушанська, Г. П., Лопушанський, А. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2168
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove the theorems on the existence and unique determination of a pair of functions: a(t) >0, t ∈ [0,T], and the solution u(x, t) of the first boundary-value problem for the equation $$ \begin{array}{ll}{D}_t^{\beta }u-a(t){u}_{xx}={F}_0\left(x,t\right),\hfill & \left(x,t\right)\i...