Recovering of the Stiffness Coefficients of the Sturm–Liouville Operator on a Star Graph from a Finite Set of Its Eigenvalues
Kanguzhin B.E. Kaiyrbek Z.A. Mustafina M.O.
June 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 62711 - 2716 pp.
Abstract: The paper identifies a class of self-adjoint Sturm–Liouville operators on a star graph with a simple spectrum. The matching conditions at the internal vertex of the graph contain a set of parameters. These parameters are interpreted as stiffness coefficients. The paper proves that a finite set of eigenvalues allows one to uniquely reconstruct a set of stiffness coefficients. The novelty of the work is the fact that it is enough to know a finite set of eigenvalues of the original problem to unique restore the required stiffness coefficients.
boundary conditions , matching conditions , star graph , stiffness coefficient , Sturm–Liouville operator
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Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050040, Kazakhstan
Serikbaev East Kazakhstan Technical University, Ust-Kamenogorsk, 070004, Kazakhstan
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Serikbaev East Kazakhstan Technical University
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