Trace formula for nonlocal differential operators
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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 wordsSturm-Liouville operator nonlocal boundary condition trace formula
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The authors would like to thank the referee for valuable comments. This research was supported by the National Natural Science Foundation of China (11871031).