Indefinite Sturm–Liouville problems
From MaRDI portal
Publication:4470045
DOI10.1017/S0308210500002584zbMath1056.34038MaRDI QIDQ4470045
Qing Kai Kong, Anton Zettl, Manfred Möller, Hongyou Wu
Publication date: 22 June 2004
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
spectrumKrein spaceSturm-Liouville problemindefinite weight functionlimit-point caselimit-circle casesingular caseregular caseselfadjoint boundary conditions
Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ Singular left-definite Sturm--Liouville problems ⋮ Spectral exactness and spectral inclusion for singular left-definite Sturm-Liouville problems ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Estimates on the lower bound of the eigenvalue of the smallest modulus associated with a general weighted Sturm-Liouville problem ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ A uniqueness theorem for indefinite Sturm-Liouville operators ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point ⋮ Spectrum of a class of fourth order left-definite differential operators ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps ⋮ Non-real eigenvalues of one dimensional \(p\)-Laplacian with indefinite weight ⋮ On finite rank perturbations of definitizable operators ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Inverse indefinite Sturm-Liouville problems with three spectra ⋮ Floquet theory for left-definite Sturm-Liouville problems ⋮ The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints ⋮ Non-real eigenvalues of singular indefinite Sturm-Liouville operators ⋮ Asymptotic Analysis of the SVD for the Truncated Hilbert Transform with Overlap ⋮ Relatively bounded perturbations of \(J\)-non-negative operators ⋮ Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions
