Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators. (26th September 2012)

• Record Type: Journal Article
• Authors: Zheng, Zhaowen; Zhang, Wenju
• Other Names: Bertsch Michiel Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-09-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/271657
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The spectral properties for n order differential operators are considered. When given a spectral gap ( a, b ) of the minimal operator T 0 with deficiency index r, arbitrary m points β i ( i = 1, 2, …, m ) in ( a, b ), and a positive integer function p such that ∑ i = 1 m p ( β i ) ≤ r, T 0 has a self-adjoint extension T ̃ such that each β i ( i = 1, 2, …, m ) is an eigenvalue of T ̃ with multiplicity at least p ( β i ) .