TY - JOUR
AU - Yurko, Vjacheslav
PY - 2015/09/30
Y2 - 2022/09/27
TI - Inverse problems for higher order differential systems with regular singularities on star-type graphs
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 46
IS - 3
SE - Papers
DO - 10.5556/j.tkjm.46.2015.1754
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1754
SP - 257-268
AB - We study an inverse spectral problem for arbitrary order ordinary differential equations on compact star-type graphs when differential equations have regular singularities at boundary vertices. 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.
ER -