Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions
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Publication:2037673
DOI10.1134/S0001434621030044zbMath1478.34028arXiv2006.06533OpenAlexW3182252441MaRDI QIDQ2037673
Publication date: 8 July 2021
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.06533
inverse problemuniqueness theoremeigenvalue asymptoticssingular potentialmatrix Sturm-Liouville operatorSturm-Liouville operators on graphsRiesz-basicity of eigenfunctions
Sturm-Liouville theory (34B24) 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)
Related Items (5)
On the uniform stability of recovering sine-type functions with asymptotically separated zeros ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line ⋮ Linear differential operators with distribution coefficients of various singularity orders ⋮ Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential
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