2012/10/16 by Erdoğan Şen, Şen, Erdoğan, O. Sh. Mukhtarov +2
Computer Science · Mathematics · #34B27 #34L10 #34L20 #35R10 #47E05 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.CA #msc:34B27 #msc:34L10 #msc:34L20 #msc:35R10 #msc:47E05
paper · pdf · doi:10.48550/arxiv.1210.4350
23 pages. arXiv admin note: substantial text overlap with arXiv:1201.5494, arXiv:1202.4858, arXiv:1208.5395
openalex publication_date 2012/10/16 · arxiv created 2013/04/22 · arxiv updated 2013/04/23 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper following the same methods in [M. Kadakal, O. Sh. Mukhtarov, Sturm-Liouville problems with discontinuities at two points, Comput. Math. Appl., 54 (2007) 1367-1379] we investigate discontinuous two-point boundary value problems with eigenparameter in the boundary conditions and with transmission conditions at the finitely many points of discontinuity. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We obtain asymptotic formulas for the eigenvalues and eigenfunctions. Also we show that the eigenfunctions of A are complete in H.