Theoretical analysis reveals bounds on real and imaginary eigenvalues in complex q-Sturm–Liouville boundary problems, highlighting equation coefficient constraints.
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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Xiaoxue Han (2024) studied this question.
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