Controllability Problems for the Heat Equation with Variable Coefficients on a Half-Axis Controlled by the Neumann Boundary Condition

Abstract

In the paper, the problems of controllability and approximate controllability are studied for the control systemis proved that each initial state of the control system is approximately controllable to any target state in a given time T > 0. To obtain this result, the transformation operator generated by the equation data ρ, k, γ is applied.The results are illustrated by examples.