2015/01/30 by Vjacheslav Yurko, Yurko, Vjacheslav
Mathematics · Physics and Astronomy · #34A55 #34L05 #47E05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #math.SP #msc:34A55 #msc:34L05 #msc:47E05
paper · pdf · doi:10.48550/arxiv.1503.01751
10 pages. arXiv admin note: substantial text overlap with arXiv:1410.2007; text overlap with arXiv:1309.5360 by other authors
arxiv created 2015/01/30 · openalex publication_date 2015/01/30 · arxiv updated 2015/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study inverse spectral problems for ordinary differential equations with regular singularities on compact star-type graphs when differential equations have different orders on diferent edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.