Inverse problem for a damped Stieltjes string from parts of spectra

DOI10.1080/00036811.2014.996874zbMath1330.39021OpenAlexW2153321762MaRDI QIDQ3452465

Olga Martynuk, Christiane Tretter, Vyacheslav N. Pivovarchik

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.996874

zbMATH Keywords

inverse problemdampingRobin boundary conditioncontinued fractionStieltjes stringHermite-Biehler polynomial

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Continued fractions; complex-analytic aspects (30B70) Inverse problems for systems of particles (70F17) Nevanlinna spaces and Smirnov spaces (30H15) Applications of difference equations (39A60)

Related Items (7)

Functional equations related to sine type functions ⋮ Inverse eigenvalue problems for a damped Stieltjes string with mixed data ⋮ Damped star graphs of Stieltjes strings ⋮ On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs ⋮ Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex ⋮ The Stieltjes string and its associated nodal points ⋮ Inverse problem for a Stieltjes string damped at an interior point

Cites Work

• On linear vibrational systems with one dimensional damping. II
• Mechanical vibration trees
• Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings
• A polynomial identity and its application to inverse spectral problems in Stieltjes strings
• Analytic Perturbation Theory and Its Applications
• One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem
• Matrix Inverse Eigenvalue Problems
• On linear vibrational systems with one dimensional damping
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• On Properties of Large Wave Effect in Classical Problem of Bead String Vibration
• Location and multiplicities of eigenvalues for a star graph of Stieltjes strings

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