2020/04/18 by Andrii Goriunov, Goriunov, Andrii
Mathematics · #34B45 #34L40 #Algebraic and Geometric Analysis #Applied mathematics #Boundary (topology) #Boundary value problem #Boundary values #Class (philosophy) #Classical Analysis and ODEs (math.CA) #Combinatorics #Computer science #Constructive #Differential Equations and Boundary Problems #Dissipative system #FOS: Mathematics #Functional Analysis (math.FA) #Interval (graph theory) #Mathematical analysis #Mathematics #Physics #Process (computing) #Pure mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Statistics #Sturm–Liouville theory #TRACE (psycholinguistics) #Value (mathematics) #math.CA #math.FA #math.SP #msc:34B45 #msc:34L40
paper · pdf · doi:10.48550/arxiv.2004.08575
published in arXiv (Cornell University) (Cornell University) · Corrected reference
openalex publication_date 2020/04/18 · arxiv created 2020/04/21 · arxiv updated 2020/04/22 · openalex created_date 2022/07/26 · openalex updated_date 2026/08/05
The paper investigates spectral properties of multi-interval Sturm-Liouville\noperators with distributional coefficients. Constructive descriptions of all\nself-adjoint and maximal dissipative/accumulative extensions in terms of\nboundary conditions are given. Sufficient conditions for the resolvents of\nthese operators to be operators of the trace class and for the systems of root\nfunctions to be complete are found. Results of paper are new for one-interval\nboundary value problems as well.\n