On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem

Author

Liu, Xiaoyun

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-07-02

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

An m-dimensional vectorial inverse nodal Sturm-Liouville problem with eigenparameter-dependent boundary conditions is studied.

We show that if there exists an infinite sequence ynj,rx,λnj,r2j=1∞ of eigenfunctions which are all vectorial functions of type (CZ), then the potential matrix Qx and A are simultaneously diagonalizable by the same unitary matrix U.

Subsequently, some multiplicity results of eigenvalues are obtained.

American Psychological Association (APA)

Liu, Xiaoyun. 2020. On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185756

Modern Language Association (MLA)

Liu, Xiaoyun. On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185756

American Medical Association (AMA)

Liu, Xiaoyun. On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185756

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185756