Eigenvalue problem associated with the fourth order differential-operator equation

DOI10.1216/RMJ-2018-48-6-1763zbMath1404.34075WikidataQ115240023 ScholiaQ115240023MaRDI QIDQ1627583

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

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1543028436

zbMATH Keywords

eigenvaluesHilbert spacespectrumregularized tracetrace class operatorsdifferential operator equation

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) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear differential equations in abstract spaces (34G10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter, Unnamed Item

Cites Work

• About the spectrum and the trace formula for the operator Bessel equation
• Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• On generalized regularized trace of a fourth-order differential operator with operator coefficient
• Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition
• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• 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
• Asymptotic distribution of the eigenvalues of some boundary-value problems for Sturm-Liouville operator equations
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