On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem. (2nd July 2020)

• Record Type: Journal Article
• Authors: Liu, Xiaoyun
• Other Names: Curto Raúl E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-07-02
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6953602
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 y n j, r x, λ n j, r 2 j = 1 ∞ of eigenfunctions which are all vectorial functions of type (CZ), then the potential matrix Q x and A are simultaneously diagonalizable by the same unitary matrix U . Subsequently, some multiplicity results of eigenvalues are obtained.