Trace formula for nonlocal differential operators

Xin-Jian Xu () and Chuan-Fu Yang ()
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Xin-Jian Xu: Nanjing University of Science and Technology
Chuan-Fu Yang: Nanjing University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 1107-1114

Abstract: Abstract The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields. In this paper, we consider a class of differential operators with nonlocal boundary condition, and give its trace formula of Gelfand-Levitan type.

Keywords: Sturm-Liouville operator; nonlocal boundary condition; trace formula (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0378-8

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