Well-posedness of abstract integro-differential equations with state-dependent delay

Hernández, Eduardo; Fernandes, Denis; Wu, Jianhong

doi:10.1090/proc/14820

Well-posedness of abstract integro-differential equations with state-dependent delay
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by Eduardo Hernández, Denis Fernandes and Jianhong Wu

Proc. Amer. Math. Soc. 148 (2020), 1595-1609

DOI: https://doi.org/10.1090/proc/14820

Published electronically: December 30, 2019

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Abstract:

We study existence, uniqueness, and well-posedness for a general class of abstract integro-differential equations with state-dependent delay. In the last section, some examples concerning partial integro-differential equations with state-dependent delay are presented.

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