The third regularized trace formula for the Sturm-Liouville operator with the bounded operator coefficient

DOI10.1016/j.mcm.2010.07.014zbMath1205.34113OpenAlexW2025218347MaRDI QIDQ623097

Ehliman Adigüzelov, Özlem Bakşi

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.07.014

zbMATH Keywords

spectrumSturm-Liouville operatorself-adjoint operatorasymptoticnegative eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

The regularized trace of Sturm–Liouville problem with discontinuities at two points ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential

Cites Work

• A generalization of the trace concept
• Asymptotics of the eigenvalues of boundary-value problems for differential equations in a space of vector functions
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
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