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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0352-3,
author = {Vyacheslav Yurko},
title = {Inverse problems on star-type graphs: differential operators of different orders on different edges},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {483-499},
zbl = {1312.34043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0352-3}
}
Vyacheslav Yurko. Inverse problems on star-type graphs: differential operators of different orders on different edges. Open Mathematics, Tome 12 (2014) pp. 483-499. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0352-3/
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