The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems

DOI10.1090/proc/12854zbMath1341.34081OpenAlexW2295045961MaRDI QIDQ2789854

Bing Xie, Shaozhu Chen, Jian Gang Qi

Publication date: 2 March 2016

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

Full work available at URL: https://doi.org/10.1090/proc/12854

zbMATH Keywords

a priori boundsKrein spaceindefinite Sturm-Liouville problemnon-real eigenvalue

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 (9)

Instability of the Rayleigh problem with piecewise smooth steady states ⋮ Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem ⋮ Research on singular Sturm-Liouville spectral problems with a weighted function ⋮ 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 ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials ⋮ A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints

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