Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

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.

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Journal
Mathematics
Published
2024-08-26
DOI
https://doi.org/10.3390/math12172646
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

Xiaoxue Han
Mathematics
Spectral Theory in Mathematical Physics
article

Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

Xiaoxue Han
article en

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.

MathematicsVol. 12(17)
Qufu Normal University (CN)
Natural Science Foundation of Shandong Province
Openalex Percentile: Top 75%
Spectral Theory in Mathematical Physics
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Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem — Xiaoxue Han · Mathematics (2024) | TGRS Research Map | TGRS