Damped star graphs of Stieltjes strings

Möller, M.; Pivovarchik, V.

doi:10.1090/proc/13367

Damped star graphs of Stieltjes strings
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by M. Möller and V. Pivovarchik PDF

Proc. Amer. Math. Soc. 145 (2017), 1717-1728 Request permission

Abstract:

We consider a direct and an inverse problem arising in the theory of small transverse vibrations of a star graph of Stieltjes strings damped at the midpoint. The exterior vertices of the graph are supposed to be fixed. We give necessary and sufficient conditions on a sequence of complex numbers to be the spectrum of such a problem.

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