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Z. Naturforsch. 67a, 180 – 184
(2012)
doi:10.5560/ZNA.2011-0068
Trace Formulae for Matrix Integro-Differential Operators
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China
Received July 4, 2011 / revised October 15, 2011 / published online April 2, 2012
Reprint requests to: C.-F. Y.; E-mail:
chuanfuyang@tom.com
In this paper, we consider the eigenvalue problems for matrix integro-differential operators with separated boundary conditions on the finite interval and find new trace formulae for the matrix integro-differential operators.
Key words: Matrix Integro-Differential Operator; Eigenvalue; Trace formula.
Mathematics Subject Classification 2000: 34A55; 34B25; 47E05