For Schrödinger systems on metric graphs with \delta'-type conditions at the central vertex, firstly, we obtain precise description for the square root of the large eigenvalue up to the o(1/n)-term. Secondly, the regularized trace formulae for Schrödinger systems are calculated with some techniques in classical analysis. Finally, these formulae are used to obtain a result of inverse problem in the spirit of Ambarzumyan.
YANG, CHUAN-FU; HUANG, ZHEN-YOU; and YANG, XIAO-PING
"Trace formulae for Schrödinger systems on graphs,"
Turkish Journal of Mathematics: Vol. 34:
2, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol34/iss2/4