Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel

DOI10.1007/BF01163872zbMath0538.47004OpenAlexW438706740MaRDI QIDQ793308

Gerhard Freiling

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173518

zbMATH Keywords

eigenvalue problemstwo-point boundary conditions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10)

Related Items (9)

Necessary conditions for the \(L_ 2\)-convergence of series in eigenfunctions of irregular eigenvalue problems ⋮ Multiple completeness of the root functions for a certain class of ordinary differential pencils with constant coefficients ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators with constant coefficients ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ On multiple completeness of root functions for ordinary differential polynomial pencils with constant coefficients ⋮ Multiple Completeness of the Root Functions of the Pencils of Differential Operators with Constant Coefficients and Splitting Boundary Conditions ⋮ Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients ⋮ Completeness of root functions of the simplest strongly irregular differential operators with two-point two-term boundary conditions

Cites Work

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• Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
• Zur Vollständigkeit des Biorthogonalsystems von Eigenfunktionen irregulärer Eigenwertprobleme
• The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions
• The \(n\)-fold basis property of the characteristic functions of certain regular boundary-value problems
• Differential operator with irregular splitting boundary conditions
• Green's function for ordinary differential operators
• Die Entwicklungen nach Eigenfunktionen irregulärer Eigenwertprobleme mit zerfallenden Randbedingungen. II. (Expansion of eigenfunctions of irregular eigenvalue problems with decomposable boundary conditions. II)
• On the completeness of eigenfunctions and associated functions of irregular multipoint eigenvalue-problems.

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