Ambarzumyan’s Theorem for the Dirac Operator on Equilateral Tree Graphs
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Publication:6489827
DOI10.1007/S10255-024-1042-6MaRDI QIDQ6489827
Xin-Jian Xu, Dong-Jie Wu, Chuan-Fu Yang
Publication date: 22 April 2024
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
General spectral theory of ordinary differential operators (34L05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Numerical solution of inverse problems involving ordinary differential equations (65L09)
Cites Work
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- A solution to an Ambarzumyan problem on trees
- Dirac-Krein systems on star graphs
- Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem
- Ambarzumyan-type theorems on graphs with loops and double edges
- Ambarzumian's theorem for a Sturm-Liouville boundary value problem on a star-shaped graph
- Periodic orbit theory and spectral statistics for quantum graphs
- The Laplacian and Dirac operators on critical planar graphs
- On Ambarzumyan-type theorems
- Spectral determinants and an Ambarzumian type theorem on graphs
- Ambarzumyan-type theorems for the Sturm-Liouville equation on a graph
- Asymptotically isospectral quantum graphs and generalised trigonometric polynomials
- Inverse eigenvalue problem for a simple star graph
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- On a theorem of Ambarzumian
- On the n -dimensional Ambarzumyan's theorem
- Some Ambarzumyan-type theorems for Dirac operators
- The free Dirac operator on compact and noncompact graphs
- Characteristic functions of quantum graphs
- On an extension of the theorem of V. A. Ambarzumyan
- On the Extension of Ambarzumian's Inverse Spectral Theorem to Compact Symmetric Spaces
- Kirchhoff's rule for quantum wires
- Spectral statistics for the Dirac operator on graphs
- An n -dimensional Ambarzumian type theorem for Dirac operators
- An inverse spectral theorem
- On the stability in Ambarzumian theorems
- The M-matrix inverse problem for the Sturm—Liouville equation on graphs
- On some inverse spectral problems related to the Ambarzumyan problem and the dual string of the string equation
- Inverse spectral problems for 2m-dimensional canonical Dirac operators
- Inverse spectral problems for Sturm–Liouville operators on graphs
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