Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations

DOI10.1134/S0001434621110183zbMath1494.34088OpenAlexW4200357820WikidataQ115253644 ScholiaQ115253644MaRDI QIDQ2063668

A. A. Shkalikov

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621110183

zbMATH Keywords

completeness and basis property of eigenfunctions of boundary value problemsspectral problems for ordinary differential equations

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

On the uniform stability of recovering sine-type functions with asymptotically separated zeros ⋮ Asymptotics in the spectral parameter for solutions of \(2 \times 2\) systems of ordinary differential equations ⋮ Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations

Cites Work

• Asymptotical formulas for solutions of linear differential systems of the first order
• Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations
• The Dirac operator with complex-valued summable potential
• Perturbations of self-adjoint and normal operators with discrete spectrum
• Classical Fourier Analysis
• Regular spectral problems for systems of ordinary differential equations of the first order
• Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients

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