Geodesic
On the Neumann boundary controllability for the non-homogeneous string on a half-axis
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 307-335.

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In the paper, the equation of a vibrating non-homogeneous string, whose potential is not equal to a constant, is considered on a half-axis. The Neumann control of the class $L^\infty$ is considered at a point $x=0$. The control problem is studied in the Sobolev spaces. The sufficient conditions for nullcontrollability and approximate null-controllability at a free time $T>0$ are obtained for the given system. The controls solving these problems are found explicitly. 
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     title = {On the {Neumann} boundary controllability for the non-homogeneous string on a half-axis},
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K. S. Khalina. On the Neumann boundary controllability for the non-homogeneous string on a half-axis. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 307-335. http://geodesic.mathdoc.fr/item/JMAG_2012_8_a0/

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