Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions

DOI10.1007/s11785-022-01202-1zbMath1494.34108OpenAlexW4214814925MaRDI QIDQ2114385

Jinming Cai, Kun Li, Fu Sun

Publication date: 15 March 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01202-1

zbMATH Keywords

nonlocal potentialindefinite Sturm-Liouville problemnon-real eigenvaluenonlocal coupled boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS ⋮ Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions

Cites Work

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• Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem
• 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
• Schrödinger operators with nonlocal point interactions
• On the negative squares of indefinite Sturm--Liouville operators
• Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials
• Non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems
• Non-real eigenvalues of indefinite Sturm-Liouville problems
• A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems
• The parabolic differential equations and the associated semigroups of transformation
• Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
• Inverse nonlocal Sturm–Liouville problem
• Inverse spectral problems for non-local Sturm–Liouville operators
• A nonlocal Sturm–Liouville eigenvalue problem
• Indefinite Sturm–Liouville problems
• Spectral bounds for singular indefinite Sturm-Liouville operators with 𝐿¹-potentials
• A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints
• Estimates on the non-real eigenvalues of regular indefinite Sturm–Liouville problems

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