Controllability problems for the string equation
For the string equation controlled by boundary conditions, we establish necessary and sufficient conditions for 0-and ε-controllability. The controls that solve such problems are found in explicit form. Moreover, using the Markov trigonometric moment problem, we construct bangbang controls that solve the problem of ε-controllability.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 7, pp 1040-1058.
Citation Example: Fardigola L. V., Khalina K. S. Controllability problems for the string equation // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 939–952.