Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations

DOI10.1112/S0024610799007012zbMath0930.34061OpenAlexW2146542244WikidataQ128252698 ScholiaQ128252698MaRDI QIDQ4265410

Remling, Christian

Publication date: 13 October 1999

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

Full work available at URL: https://doi.org/10.1112/s0024610799007012

zbMATH Keywords

solutionsasymptotic integrationasymptotic formulaefourth-order selfadjoint equationTitchmarsh-Weyl \(M\)-matrix

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)

Related Items (17)

Boundedness of solutions for singular Hamiltonian differential systems with applications to deficiency indices ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ Spectral theory of Hamiltonian systems with almost constant coefficients ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Two singular point linear Hamiltonian systems with an interface condition ⋮ Spectral theory of difference operators with almost constant coefficients ⋮ Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients ⋮ Simplicity and spectrum of singular Hamiltonian systems of arbitrary order ⋮ Spectral analysis of fourth order differential operators III ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Spectral analysis of higher order differential operators with unbounded coefficients ⋮ Spectral analysis of higher order differential operators with unbounded coefficients II ⋮ Absolutely continuous spectra for matrix Dirac systems ⋮ Spectral properties of a differential system ⋮ The spectrum of differential operators with almost constant coefficients. II ⋮ Absolutely continuous spectrum of fourth order difference equations

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