Inverse problems for the differential operator on the graph with a cycle with different orders on different edges
Keywords:Geometrical Graphs, Differential Operators, Inverse Spectral Problems, Weyl-type Matrices, Method of Spectral Mappings
AbstractWe consider a variable order differential operator on a graph with a cycle. We study inverse spectral problems for this operator by the system of spectra. Uniqueness theorems are proved, and constructive algorithms are obtained for the solution of the inverse problems.
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