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- W2153321762 abstract "We solve the following inverse problem for boundary value problems generated by the difference equations describing the motion of a Stieltjes string (a thread with beads). Given are certain parts of the spectra of two boundary value problems with two different Robin conditions at the left end and the same damping condition at the right end. From these two partial spectra, the difference of the Robin parameters, the damping constant, and the total length of the string, find the values of the point masses, and of the lengths of the intervals between them. We establish necessary and sufficient conditions for two sets of complex numbers to be the eigenvalues of two such boundary value problems and give a constructive solution of the inverse problem." @default.
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- W2153321762 date "2015-01-08" @default.
- W2153321762 modified "2023-09-27" @default.
- W2153321762 title "Inverse problem for a damped Stieltjes string from parts of spectra" @default.
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- W2153321762 doi "https://doi.org/10.1080/00036811.2014.996874" @default.
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