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2014 | 12 | 3 | 483-499
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Inverse problems on star-type graphs: differential operators of different orders on different edges

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Języki publikacji
EN
Abstrakty
EN
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.
Twórcy
Bibliografia
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  • [23] Pokornyi Yu.V., Pryadiev V.L., The qualitative Sturm-Liouville theory on spatial networks, J. Math. Sci. (N.Y.), 2004, 119(6), 788–835 http://dx.doi.org/10.1023/B:JOTH.0000012756.25200.56
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  • [25] Yang C.-F., Inverse spectral problems for the Sturm-Liouville operators on a d-star graph, J. Math. Anal. Appl., 2010, 365(2), 742–749 http://dx.doi.org/10.1016/j.jmaa.2009.12.016
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  • [29] Yurko V.A., An inverse problem for higher order differential operators on star-type graphs, Inverse Problems, 2007, 23(3), 893–903 http://dx.doi.org/10.1088/0266-5611/23/3/003
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  • [31] Yurko V., Inverse problems for Sturm-Liouville operators on bush-type graphs, Inverse Problems, 2009, 25(10), #105008 http://dx.doi.org/10.1088/0266-5611/25/10/105008
  • [32] Yurko V., An inverse problem for Sturm-Liouville differential operators on A-graphs, Appl. Math. Lett., 2010, 23(8), 875–879 http://dx.doi.org/10.1016/j.aml.2010.03.026
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  • [34] Yurko V.A., Inverse spectral problems for arbitrary order differential operators on noncompact trees, J. Inverse Ill-Posed Probl., 2012, 20(1), 111–131
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0352-3
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