Biorthogonal expansions in root functions of differential operators

DOI10.1134/S0012266111010162zbMath1217.35126OpenAlexW2006002187MaRDI QIDQ542170

Abdizhakhan M. Sarsenbi, Makhmud A. Sadybekov, Tynysbek Sh. Kal'menov

Publication date: 8 June 2011

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111010162

zbMATH Keywords

biorthogonal expansionsnonself-adjoint differential operatorssystem of eigenfunctins

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15)

Related Items (3)

On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems ⋮ Well-posedness of a parabolic equation with nonlocal boundary condition ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

Cites Work

• On the theory of antiprior estimates in the sense of V.A. Il'in
• The use of anti-a priori estimates in the theory of bases in the space \(L_2\)
• Unnamed Item

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