Geodesic
Uniqueness of Solution of the Inverse Scattering Problem for Various Order Differential Equation on the Simplest Noncompact Graph with Cycle
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 542-549

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An inverse scattering problem is studied for variable orders differential operators on simplest noncompact graph with cycle. A uniqueness theorem of recovering coefficients of operators from the scattering data is provided. 
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     author = {M. Yu. Ignatyev},
     title = {Uniqueness of {Solution} of the {Inverse} {Scattering} {Problem} for {Various} {Order} {Differential} {Equation} on the {Simplest} {Noncompact} {Graph} with {Cycle}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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M. Yu. Ignatyev. Uniqueness of Solution of the Inverse Scattering Problem for Various Order Differential Equation on the Simplest Noncompact Graph with Cycle. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 542-549. http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a7/