An inverse problem for the differential operator on the graph with a cycle with different orders on different edges

2013/09/20 by Natalia P. Bondarenko, Bondarenko, Natalia
Mathematics · #34A55 34L05 47E05 #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1309.5360

openalex publication_date 2013/09/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a variable order differential operator on a graph with a cycle. We study the inverse spectral problem for this operator by the system of spectra. The main results of the paper are the uniqueness theorem and the constructive procedure for the solution of the inverse problem.

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