| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0425 |
| Dependence of Eigenvalues on the Regular Fourth-Order Sturm-Liouville Problem |
| Jianqing Suo |
| Keywords:Fourth-order Sturm–Liouville problems, continuous dependence on parameters, Eigenvalues |
| Abstract: |
| In this paper, the eigenvalues of a regular fourth-order Sturm-Liouville (SL) problems are studed. The eigenvalues depend not only
continuously but smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a coefficient,
or the weight function, are found. |
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