Geodesic
Recovering Differential Operators on Star-Type Graphs with Different Orders on Different Edges
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 112-116

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An inverse spectral problem is studied for variable orders differential operators on compact star-type graphs. A uniqueness theorem of recovering potentials from the Weyl matrices is provided. A constructive solution of the inverse problem is obtained. 
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     author = {V. A. Yurko},
     title = {Recovering {Differential} {Operators} on {Star-Type} {Graphs} with {Different} {Orders} on {Different} {Edges}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a27/}
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V. A. Yurko. Recovering Differential Operators on Star-Type Graphs with Different Orders on Different Edges. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 112-116. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a27/