Completeness theorems for systems of differential equations

DOI10.1023/A:1004121810523zbMath0979.34058OpenAlexW91909582MaRDI QIDQ5930979

Mark M. Malamud, Leonid L. Oridoroga

Publication date: 3 February 2002

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004121810523

zbMATH Keywords

first-order systemcompletenessasymptotic fundamental systemminimality

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

Completeness and Riesz basis property of systems of eigenfunctions and associated functions of Dirac-type operators with boundary conditions depending on the spectral parameter ⋮ Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions ⋮ Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. II: Application ⋮ On spectral synthesis for dissipative Dirac type operators ⋮ Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions ⋮ Bari–Markus property for Riesz projections of 1D periodic Dirac operators ⋮ Asymptotic behavior of solutions of the Dirac system with an integrable potential ⋮ On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations

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