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Indian Journal of Pure and Applied Mathematics

, Volume 50, Issue 4, pp 1107–1114 | Cite as

Trace formula for nonlocal differential operators

  • Xin-Jian XuEmail author
  • Chuan-Fu YangEmail author
Article
  • 21 Downloads

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.

Key words

Sturm-Liouville operator nonlocal boundary condition trace formula 

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Notes

Acknowledgement

The authors would like to thank the referee for valuable comments. This research was supported by the National Natural Science Foundation of China (11871031).

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Copyright information

© Indian National Science Academy 2019

Authors and Affiliations

  1. 1.Department of Applied Mathematics, School of ScienceNanjing University of Science and TechnologyNanjing, JiangsuPeople’s Republic of China

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