Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem

DOI10.1016/j.jde.2016.08.035zbMath1355.34122OpenAlexW2508104842MaRDI QIDQ324107

Mervis Kikonko, Angelo B. Mingarelli

Publication date: 10 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.08.035

zbMATH Keywords

Dirichlet problemspectrumturning pointnon-real eigenvaluesindefinite eigenvalue problemnon-definite eigenvalue problemregular Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Spectral bounds for singular indefinite Sturm-Liouville operators with 𝐿¹-potentials, Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications, 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, Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems, Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials, Periodic Indefinite Sturm-Liouville Problems With One Turning Point, 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

Cites Work

• Bounds on the non-real spectrum of differential operators with indefinite weights
• Volterra-Stieltjes integral equations and generalized ordinary differential expressions
• A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems
• The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems
• Non-real eigenvalues of singular indefinite Sturm-Liouville operators
• A survey of the regular weighted Sturm-Liouville problem - The non-definite case
• Estimates on the non-real eigenvalues of regular indefinite Sturm–Liouville problems