Abstract
Our concern is to consider linear integral equations with two delays. A new result on necessary and sufficient conditions for the exponential stability is presented by careful study of the characteristic equation. Explicit expressions of limits of solutions in the critical case where integral equations lose exponential stability are also given by use of an asymptotic formula for solutions.
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Acknowledgements
The second author’s work was supported in part by JSPS KAKENHI Grants-in-Aid for Scientific Research (C) Grant Number JP19K03524.
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Kawano, A., Matsunaga, H. Exponential Stability and Asymptotic Periodic Solutions of Linear Integral Equations with Two Delays. J Dyn Diff Equat 35, 1309–1335 (2023). https://doi.org/10.1007/s10884-021-09940-0
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DOI: https://doi.org/10.1007/s10884-021-09940-0