Non-real eigenvalues of singular indefinite Sturm-Liouville operators

DOI10.1090/S0002-9939-09-09964-XzbMath1182.47036OpenAlexW2072995091MaRDI QIDQ3642667

Jussi Behrndt, Carsten Trunk, Qutaibeh D. Katatbeh

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09964-x

zbMATH Keywords

Krein spaceSturm-Liouville operatorindefinite weight

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) Linear operators on spaces with an indefinite metric (47B50)

Related Items (18)

The Dirichlet problem for an equation of mixed type with two internal lines of type change ⋮ Eigenvalues of Schrödinger operators with definite and indefinite weights ⋮ Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Spectral bounds for singular indefinite Sturm-Liouville operators with 𝐿¹-potentials ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps ⋮ Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Eigenvalue estimates for singular left-definite Sturm-Liouville operators ⋮ 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 nonlocal indefinite Sturm-Liouville problems

Cites Work

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• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• On the spectral theory of singular indefinite Sturm-Liouville operators
• On the negative squares of indefinite Sturm--Liouville operators
• Boundary value problems in abstract kinetic theory
• Spectral theory of ordinary differential operators
• Eigencurves for two-parameter self-adjoint ordinary differential equations of even order
• Spectral methods in linear transport theory
• Indefinite Sturm-Liouville problems and half-range completeness
• The similarity problem for \(J\)-nonnegative Sturm-Liouville operators
• Accumulation of complex eigenvalues of indefinite Sturm–Liouville operators
• On the number ofL²-solutions of second order linear differential equations
• Square-well representations for potentials in quantum mechanics
• On the location of eigenvalues of second order linear differential operators
• Indefinite Sturm–Liouville problems
• Sturm–Liouville problems with indefinite weights and Everitt's inequality
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Spectral properties of singular Sturm—Liouville operators with indefinite weight sgn x
• Indefinite Sturm-Liouville operators (sgn x)(-d2/dx2+q(x)) with finite-zone potentials

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