Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions. (12th March 2023)

• Record Type: Journal Article
• Authors: Li, Jia; Hao, Xiaoling; Li, Kun; Yao, Siqin
• Is Part Of: Numerical functional analysis and optimization. Volume 44:Number 4(2023)
• Page Start: 296
• Page End: 310
• Publication Date: 2023-03-12
• Subjects: 2nth-order boundary value problems -- eigenvalues -- finite spectrum -- transmission conditions; Primary 34B24 -- 34L15 -- Secondary 34L05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2023.2171053
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: For any positive integer 2 n and any positive integer m, l, a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most ( 2 n − 1 ) ( m + l + 1 ) + 1 eigenvalues is constructed. The key to this analysis is the division of intervals and an iterative construction of the characteristic function. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n ( m + l + 2 ) .