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Z. Naturforsch. 67a, 429 – 434 (2012)
doi:10.5560/ZNA.2012-0041
Trace Formula on Transmission Eigenvalues of the Sturm–Liouville Problem
Chuan-Fu Yang
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China
Received January 10, 2012 / published online August 2, 2012
Reprint requests to: C. F. Y.; E-mail: chuanfuyang@tom.com
In this paper, we consider eigenvalues and traces of a special Sturm–Liouville problem, which originates from an acoustic scattering problem with a spherically symmetric speed of sound. Regularized trace formulae on transmission eigenvalues of the Sturm–Liouville problem are obtained.
Key words: Sturm–Liouville Problem; Transmission Eigenvalues; Trace Formula.
Mathematics Subject Classification 2000: 34A55; 34B24; 47E05
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