In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified ...

Let X be a Banach space which is lush. It is shown that if a subspace of X is either an L-summand or an M-ideal then it is also lush.

A nonlinear transmission problem for a Berger plate on an elastic base is studied. The plate consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. In the paper ...