Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-0811-7
Keywords
Schrödinger systems, metric graph, \delta'-type conditions, trace formula, Ambarzumyan-type theorem.
First Page
181
Last Page
196
Recommended Citation
YANG, C, HUANG, Z, & YANG, X (2010). Trace formulae for Schrödinger systems on graphs. Turkish Journal of Mathematics 34 (2): 181-196. https://doi.org/10.3906/mat-0811-7
