Bounds of Eigenvalues for Complex q -Sturm–Liouville Problem

Xiaoxue Han ()
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Xiaoxue Han: School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China

Mathematics, 2024, vol. 12, issue 17, 1-11

Abstract: The eigenvalues of complex q -Sturm–Liouville boundary value problems are the focus of this paper. The coefficients of the corresponding q -Sturm–Liouville equation provide the lower bounds on the real parts of all eigenvalues, and the real part of the eigenvalue and the coefficients of this q -Sturm–Liouville equation provide the bounds on the imaginary part of each eigenvalue.

Keywords: complex q-Sturm–Liouville problem; complex valued coefficient; non-real eigenvalue; upper bounds; lower bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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