IJPAM: Volume 36, No. 1 (2007)

APPLICATION OF ONCE INTEGRATED SEMIGROUPS
FOR THE ABSTRACT BOUNDARY CONTROL

Tadeusz Kowalski$^1$, Wawrzyniec Sadkowski$^2$
$^{1,2}$Faculty of Mathematics and Information Sciences
Warsaw University of Technology
Pl. Politechniki 1, Warsaw, 00-661, POLAND


Abstract.An equivalent condition for approximate controlability of boundary abstract control problem, with $A$ as a generator of a once integrated semigroup has been given. The approximate controlability of some hyperbolic problems with Neumann and Dirichlet boundary conditions have been proved.

Received: August 14, 2006

AMS Subject Classification: 93C25

Key Words and Phrases: once integrated semigroups, the abstract boundary control problem, approximate controlability of boundary control problems for some hyperbolic problems with Neumann and Dirichlet boundary conditions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 1