Completeness of elementary solutions to a class of second order operator-differential equations

DOI10.1007/S11202-010-0066-8zbMath1259.34048OpenAlexW2161845235MaRDI QIDQ630288

M. Yu. Salimov, Sabir S. Mirzoev

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0066-8

zbMATH Keywords

resolventHilbert spaceboundary value problemselfadjoint operatoroperator-differential equationeigenvectors and associated vectors

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear differential equations in abstract spaces (34G10)

Related Items (2)

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Cites Work

• Multiple completeness of root vectors of polynomial operator pencils corresponding to \(boundaryvalue\) problems on the semiaxis
• On the completeness of a system of elementary solutions of the biharmonic equation in a semi-strip
• MULTIPLE COMPLETENESS FOR A SYSTEM OF OPERATOR PENCILS AND ELLIPTIC BOUNDARY VALUE PROBLEMS
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