Relative boundedness and compactness theory for second-order differential operators

DOI10.1155/S1025583497000271zbMath0891.34062MaRDI QIDQ1372384

Terry G. Anderson, Don B. Hinton

Publication date: 2 April 1998

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119485

zbMATH Keywords

energy operatorrelatively compactlimit-pointrelatively boundedSturm-Liouville expression

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators defined by compactness properties (47B07) General spectral theory of ordinary differential operators (34L05) Linear differential equations in abstract spaces (34G10) Molecular physics (81V55) Differential inequalities involving functions of a single real variable (34A40) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ Relative form boundedness and compactness for a second-order differential operator ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Decay of solutions of ordinary differential equations.

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