Session S12 - Delay and functional differential equations and applications

Wednesday, July 21, 16:00 ~ 16:35 UTC-3

Stability for nonautonomous linear differential equations with infinite delay

Teresa Faria

Universidade de Lisboa, Portugal   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study the asymptotic and the exponential asymptotic stability of general nonautonomous linear differential systems with infinite delays. Delay independent criteria, as well as criteria depending on the size of bounded diagonal delays are established. Our results encompass DDEs with discrete and distributed delays, and improve some recent achievements in the literature.

[1] T. Faria, Stability for nonautonomous linear differential systems with infinite delay, J. Dyn. Diff. Equat. (2020). https://doi.org/10.1007/s10884-020-09873-0

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