Multiple Completeness of the Root Functions of the Pencils of Differential Operators with Constant Coefficients and Splitting Boundary Conditions

DOI10.18500/1816-9791-2019-19-2-134-151OpenAlexW3094127808WikidataQ127737979 ScholiaQ127737979MaRDI QIDQ5194723

Viktor Sergeevich Rykhlov

Publication date: 17 September 2019

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu796

zbMATH Keywords

root functionseigen- and associated functionsmultiple completenesspencil of ordinary differential operatorsderived chainspolynomial pencil of differential operatorshomogeneous boundary formshomogeneous differential expressionsplitting boundary conditions

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

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• Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel
• The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions
• Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators
• Finite-dimensional perturbations of Volterra operators

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