Some spectral properties of fourth order differential operator equation

DOI10.7153/oam-2018-12-19zbMath1398.34126OpenAlexW2789756796WikidataQ115157725 ScholiaQ115157725MaRDI QIDQ4565214

Nigar M. Aslanova, Mehmet Bayramoğlu, Khalig M. Aslanov

Publication date: 8 June 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2018-12-19

zbMATH Keywords

Hilbert spacespectrumregularized traceinterlacingtrace class operatorsdifferential operator equation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear differential equations in abstract spaces (34G10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition

Cites Work

• The asymptpotics of eigenvalues and trace formula of operator associated with one singular problem
• About the spectrum and the trace formula for the operator Bessel equation
• On generalized regularized trace of a fourth-order differential operator with operator coefficient
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Distribution of eigenvalues and trace formula for the Sturm–Liouville operator equation
• Traces of operators
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Asymptotic distribution of the eigenvalues of some boundary-value problems for Sturm-Liouville operator equations
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