Boundary controllability problems for the equation of oscillation of an inhomogeneous string on a semiaxis

• Date: 2012
• Main Authors: Khalina, K. S., Халіна, К. С.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2593
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a wave equation on a semiaxis, namely, $w_{tt}(x,t) = w_{xx}(x,t) — q(x)w(x,t), x > 0$. The equation is controlled by one of the following two boundary conditions: $w(0,t) = u_0(t)$ and $w_x(0,t) = u_1(t), t \in (0,T)$, where $u_0, u_1$ are controls. In both cases, the potentia...