Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex

DOI10.3934/ipi.2020063zbMath1471.34057OpenAlexW3093362717MaRDI QIDQ2037207

Lu Yang, Guangsheng Wei, Vyacheslav N. Pivovarchik

Publication date: 30 June 2021

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2020063

zbMATH Keywords

inverse problemsstar graphStieltjes stringbranching continued fractiondamped vibrations\(S_0\)-functions

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Inverse spectral problem for a star graph of Stieltjes strings with given numbers of masses on the edges ⋮ On inverse problem for tree of Stieltjes strings

Cites Work

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• Matrix Inverse Eigenvalue Problems
• Damped star graphs of Stieltjes strings
• Inverse problem for a damped Stieltjes string from parts of spectra
• Existence of a tree of Stieltjes strings corresponding to two given spectra
• On linear vibrational systems with one dimensional damping
• Location and multiplicities of eigenvalues for a star graph of Stieltjes strings

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