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Bounds of Eigenvalues for Complex q -Sturm–Liouville Problem

Author

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  • Xiaoxue Han

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

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.

Suggested Citation

  • Xiaoxue Han, 2024. "Bounds of Eigenvalues for Complex q -Sturm–Liouville Problem," Mathematics, MDPI, vol. 12(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2646-:d:1464298
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