Controllability of a Non-Classical Model of Mathematical Physics
Authors
Olga Aleksandrovna Ruzakova
South Ural State University
Keywords:
controllability, semigroup of operators, equations of Sobolev type
Abstract
Necessary conditions of ε-controllability for the class of degenerate linear differential equations in Banach space with respect to the time derivative and with the radially bounded operator on the right side are obtained. The results are effectively applied to the research of ε-controllability of initial boundary-value problems for the non-classical equations of mathematical physics.
Author Biography
Olga Aleksandrovna Ruzakova, South Ural State University
Cand. Sc. (Physics and Mathematics), Associate Professor, Mechanics and Mathematical Department