Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations

DOI10.1134/S0001434621110353zbMath1494.34087OpenAlexW4200229432WikidataQ115253632 ScholiaQ115253632MaRDI QIDQ2063691

A. A. Shkalikov, A. P. Kosarev

Publication date: 11 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434621110353

zbMATH Keywords

asymptotics of solutions of systems of ordinary differential equations, regular boundary value problems, problems on the completeness of eigenfunctions.

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 (2)

Asymptotics in the spectral parameter for solutions of \(2 \times 2\) systems of ordinary differential equations ⋮ Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations

Cites Work

• Spectral analysis of the {R}egge problem
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations
• The Dirac operator with complex-valued summable potential
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients

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