Recovering Variable Order Differential Operators with Regular Singularities on Graphs
Spectral Theory
2015-03-06 v1 Mathematical Physics
math.MP
Abstract
We study inverse spectral problems for ordinary differential equations with regular singularities on compact star-type graphs when differential equations have different orders on diferent edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.
Cite
@article{arxiv.1503.01751,
title = {Recovering Variable Order Differential Operators with Regular Singularities on Graphs},
author = {Vjacheslav Yurko},
journal= {arXiv preprint arXiv:1503.01751},
year = {2015}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:1410.2007; text overlap with arXiv:1309.5360 by other authors