scientific article; zbMATH DE number 7619206

MaRDI QIDQ5050498

Hajar F. Movsumova

Publication date: 17 November 2022

Full work available at URL: http://trans.imm.az/volumes/36-1/36-01-11.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hilbert spaceregularized tracetrace class

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear differential equations in abstract spaces (34G10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• A generalization of the trace concept
• On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition
• Higher order regularized trace formula for the regular Sturm-Liouville equation contained spectral parameter in the boundary condition
• Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Distribution of eigenvalues and trace formula for the Sturm–Liouville operator equation
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Traces of operators with relatively compact perturbations
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
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