Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonself-adjoint Sturm-Liouville Operator With Discontinuous Coefficients (III)
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Consider a Timoshenko beam that is clamped to an axis perpendicular to the axis of the beam. We study the problem to move the beam from a given initial state to a position of rest, where the movement is controlled by the angular acceleration of the axis to which the beam is clamped. We show that this problem of controllability is solvable if the time of rotation is long enough and a certain parameter that describes the material of the beam is a rational number that has an even numerator...