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Explicit abstract neutral differential equations with state-dependent delay: Existence, uniqueness and local well-posedness

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Author(s):
Hernandez, Eduardo ; Wu, Jianhong
Total Authors: 2
Document type: Journal article
Source: Journal of Differential Equations; v. 365, p. 62-pg., 2023-05-24.
Abstract

We study the local and global existence and uniqueness of strict solution and the local well-posedness for a class of abstract "explicit" neutral integro-differential equations with state-dependent delay. In the last section some examples motivated by explicit neutral ordinary integro-differential equations arising in the theory of population dynamics are presented.(c) 2023 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 21/12559-9 - Abstract diferential equations with state dependent delay
Grantee:Eduardo Alex Hernández Morales
Support Opportunities: Regular Research Grants