A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems

DOI10.4171/JST/61zbMath1302.34128arXiv1306.5517MaRDI QIDQ2450827

Shaozhu Chen, Jian Gang Qi

Publication date: 21 May 2014

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5517

zbMATH Keywords

indefinite Sturm-Liouville problembounds for non-real eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear operators on spaces with an indefinite metric (47B50) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (12)

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 ⋮ Estimates on the lower bound of the eigenvalue of the smallest modulus associated with a general weighted Sturm-Liouville problem ⋮ 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 ⋮ Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials ⋮ Non-real eigenvalues of one dimensional \(p\)-Laplacian with indefinite weight ⋮ The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ Unnamed Item ⋮ A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints ⋮ Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions

Cites Work

• Unnamed Item
• Bounds on the non-real spectrum of differential operators with indefinite weights
• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• On the negative squares of indefinite Sturm--Liouville operators
• Sturm-Liouville problems with several parameters
• Ordinary and partial differential equations. Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982
• Non-real eigenvalues of singular indefinite Sturm-Liouville operators
• A survey of the regular weighted Sturm-Liouville problem - The non-definite case
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Negativity indices for definite and indefinite Sturm‐Liouville problems

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