Abstract
In the present paper we characterize the spectrum of small transverse vibrations of an inhomogeneous string with the left end fixed and the right one moving with damping in the direction orthogonal to the equilibrium position of the string. The density of the string is supposed to be smooth and strictly positive everywhere except of an interval of zero density at the right end. Sufficient (close ...
Abstract
In the present paper we characterize the spectrum of small transverse vibrations of an inhomogeneous string with the left end fixed and the right one moving with damping in the direction orthogonal to the equilibrium position of the string. The density of the string is supposed to be smooth and strictly positive everywhere except of an interval of zero density at the right end. Sufficient (close to the necessary) conditions are given for a sequence of complex numbers to be the spectrum of such a string. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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