Estimates on the non-real eigenvalues of regular indefinite Sturm–Liouville problems

DOI10.1017/S0308210513001212zbMath1325.34098arXiv1306.0323MaRDI QIDQ5258353

Jussi Behrndt, Friedrich Philipp, Shaozhu Chen, Jian Gang Qi

Publication date: 25 June 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0323

zbMATH Keywords

a priori boundsnon-real eigenvaluesself-adjoint domainexceptional real eigenvaluesregular indefinite Sturm-Liouville problem

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) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (14)

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 ⋮ Non-real eigenvalues for indefinite \(q\)-Sturm-Liouville problem ⋮ 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 ⋮ Non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems ⋮ Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions

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