SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS

DOI10.1017/S0024611505015480zbMath1099.34073OpenAlexW2121301063MaRDI QIDQ3377428

Horst Behncke

Publication date: 22 March 2006

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0024611505015480

zbMATH Keywords

asymptotic integrationabsolutely continuous spectrumKummer-Liouville transformationapproximately constant coefficient

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (19)

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ Spectral theory of higher order differential operators by examples ⋮ Spectral theory of Hamiltonian systems with almost constant coefficients ⋮ Application of comparison algebras in construction of commutative composites of symmetric higher order differential operators ⋮ Real-parameter square-integrable solutions and the spectrum of differential operators ⋮ The spectrum of differential operators and square-integrable solutions ⋮ Two singular point linear Hamiltonian systems with an interface condition ⋮ Asymptotically constant linear systems ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ Spectral theory of Hamiltonian difference systems with almost constant coefficients ⋮ Spectral theory of difference operators with almost constant coefficients ⋮ Spectral theory of difference operators with almost constant coefficients II ⋮ Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients ⋮ Spectral analysis of fourth order differential operators III ⋮ Unnamed Item ⋮ Spectral analysis of higher order differential operators with unbounded coefficients ⋮ Spectral analysis of higher order differential operators with unbounded coefficients II ⋮ Spectral theory of higher order difference operators ⋮ Absolutely continuous spectrum of fourth order difference equations

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