Controllability problems for the string equation

  • L. V. Fardigola
  • K. S. Khalina Фiз.-техн. iн-т низьких температур НАН України, Харкiв


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.
How to Cite
Fardigola, L. V., and K. S. Khalina. “Controllability Problems for the String Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 7, July 2007, pp. 939–952,
Research articles