Inverse nodal problems for the Sturm-Liouville differential operators on a star-type graph.
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Inverse problems on star-type graphs: differential operators of different orders on different edges
Vyacheslav Yurko (2014)
Open Mathematics
We study inverse spectral problems for ordinary differential equations on compact star-type graphs when differential equations have different orders on different edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function (m-function) for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.
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