Z. Naturforsch. 68a, 421 – 426
Trace for Differential Pencils on a Star-Type Graph
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China
Received October 19, 2012 / revised January 22, 2013 / published online May 1, 2013
In this work, we consider the spectral problem for differential pencils on a star-type graph with a Kirchhoff-type condition in the internal vertex. The regularized trace formula of this operator is established with the contour integration method in complex analysis.
Key words: Differential Pencils; Star-Type Graph; Trace Formula.
PACS numbers: 03.65.Nk; 73.63.-b; 85.35.-p