TY - JOUR
AU - O. Boyko
AU - O. Martynyuk
AU - V. Pivovarchik
PY - 2024/09/04
Y2 - 2024/10/11
TI - On the scattering problem and problem of recovery of the shape of a graph
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 76
IS - 8
SE - Research articles
DO - 10.3842/umzh.v76i8.8151
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/8151
AB - UDC 517.9We consider a scattering problem generated by the Sturmâ€“Liouville equation on a tree formed by an equilateral compact subtree with a lead (a half-infinite edge) attached to this compact subtree. It is assumed that the potential on the lead by is identically equal to zero and the potentials on finite edges are real $L_2$-functions. We show how to determine the shape of the tree by using the S-function and the eigenvalues of the scattering problem.
ER -