DEPENDENCE OF EIGENVALUES ON THE REGULAR FOURTH-ORDER STURM-LIOUVILLE PROBLEM

Jianqing Suo; Zhijie Shi; Zhen Wei

doi:10.11948/20230425

2024 Volume 14 Issue 5

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Jianqing Suo, Zhijie Shi, Zhen Wei. DEPENDENCE OF EIGENVALUES ON THE REGULAR FOURTH-ORDER STURM-LIOUVILLE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2788-2807. doi: 10.11948/20230425

Citation:

Jianqing Suo, Zhijie Shi, Zhen Wei. DEPENDENCE OF EIGENVALUES ON THE REGULAR FOURTH-ORDER STURM-LIOUVILLE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2788-2807. doi: 10.11948/20230425

DEPENDENCE OF EIGENVALUES ON THE REGULAR FOURTH-ORDER STURM-LIOUVILLE PROBLEM

1.
School of Mathematical Sciences, Inner Mongolia University, Daxue West Road 235, 010021 Hohhot, China

Author Bio: Email: SZJshizhijie@163.com(Z. Shi); Email: 15044974134@163.com(Z. Wei)
Corresponding author: Email: sjq.hello@163.com(J. Suo)
Fund Project: The authors were supported by the National Nature Science Foundation of China (12361027), Inner Mongolia Autonomous Region Natural Science Foundation (2017MS0119) and Specialized Research Fund for the Doctoral Program of Higher Education (20131501120006)

Abstract

Abstract

In this paper, the eigenvalues of a regular fourth-order Sturm-Liouville (SL) problems are studied. 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.
- Fourth-order Sturm-Liouville problems /
- continuous dependence on parameters /
- eigenvalues
MSC: 34B20, 34B24, 34B05

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References

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