• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Working paper

Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation

arxiv.org. math. Cornell University, 2016. No.  arXiv:1408.0382.
Romanov I., Shamaev A.
We will consider the exact controllability of the distributed system governed by two-dimensional Gurtin-Pipkin equation. It will be proved that this mechanical system can not be driven to an equilibrium point in a finite time if the distributed control has a compact support properly contained in the considered domain. In this case the memory kernel is a twice continuously differentiable function such that its Laplace transformation has at least one root.