Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition
DOI10.1007/s40590-022-00476-xOpenAlexW4308044233MaRDI QIDQ2096175
Publication date: 16 November 2022
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.10461
inverse spectral problemsquantum graphsfrozen argumentspectrum characterizationdifferential operators on metric graphsnonlocal matching conditions
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Applications of boundary value problems involving ordinary differential equations (34B60) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)
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Cites Work
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- Recovering Dirac operator with nonlocal boundary conditions
- Loaded differential operators: convergence of spectral expansions
- Recovering differential operators with nonlocal boundary conditions
- Spectral analysis on graph-like spaces
- Inverse problems for quantum trees
- Optimal constants in a nonlocal boundary value problem
- The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- The development of general differential and general differential-boundary systems
- On nonlinear parabolic equations with nonlocal boundary conditions
- On the determination of differential pencils with nonlocal conditions
- Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases
- Spectral analysis of the matrix Sturm-Liouville operator
- On the uniform stability of recovering sine-type functions with asymptotically separated zeros
- Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument
- Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument
- Nonlocal perturbation of a periodic problem for a second-order differential operator
- Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument
- On the inverse problem for Sturm-Liouville-type operators with frozen argument: rational case
- On recovering a Sturm-Liouville-type operator with the frozen argument rationally proportioned to the interval length
- Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
- An inverse spectral problem for Sturm-Liouville operators with frozen argument
- The parabolic differential equations and the associated semigroups of transformation
- Inverse spectral problems for Hill-type operators with frozen argument
- Inverse spectral problems for differential operators on spatial networks
- Inverse nonlocal Sturm–Liouville problem
- On Inverse Scattering on a Sun-Type Graph
- Boundary spectral inverse problem on a class of graphs (trees) by the BC method
- Inverse spectral problems for non-local Sturm–Liouville operators
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph
- Inverse scattering problems on a noncompact star graph
- Recovering of two-point boundary conditions by finite set of eigenvalues of boundary value problems for higher order differential equations
- Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
- An inverse spectral problem for Sturm-Liouville-type integro-differential operators with robin boundary conditions
- Inverse nodal problem for nonlocal differential operators
- On the existence of solutions for nonlocal boundary value problems
- Partial inverse problems for Sturm–Liouville operators on trees
- Ambarzumyan-type theorems on star graphs
- Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph
- Quantum Graphs and Their Applications
- Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result.
- Diffusion Processes in One Dimension
- An introduction to frames and Riesz bases
- Differential operators with nonlocal boundary conditions
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