Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. II: Application

DOI10.1007/s11425-012-4426-7zbMath1257.47075OpenAlexW2004778474MaRDI QIDQ1935706

Yakov Yakubov

Publication date: 19 February 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4426-7

zbMATH Keywords

eigenvaluesroot functionsdiscrete spectrumregular problemsfold completeness

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Spectral theory of functional-differential operators (34K08)

Cites Work

• Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. I: Abstract theory
• On completeness of root functions of elliptic boundary problems in a domain with conical points
• Completeness of root vectors for an Agmon-Douglis-Nirenberg elliptic problem with an indefinite weight in \(L_p\) spaces.
• Alcuni risultati di teoria spettrale per i problemi ai limiti lineari ellittici
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Completeness theorems for systems of differential equations
• Basis property of chains of eigenfunctions for certain boundary-value problems
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