Boundary Control of String Vibrations in a Subcritical Time under a Medium Resistance at the Right End

Аннотация

We study the problem of boundary control of string vibrations on a subcritical time interval. The control is performed by displacements at one end of the string, while a homogeneous boundary condition with a noncharacteristic directional derivative is posed at the other end. The problem is studied in the classical sense. Necessary and sufficient conditions for the existence of a unique control are obtained, and the control itself is constructed in explicit analytical form.