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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On abstract differential equations with state dependent non-local conditions

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Author(s):
Hernandez, Eduardo
Total Authors: 1
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 466, n. 1, p. 408-425, OCT 1 2018.
Web of Science Citations: 1
Abstract

In this paper we introduce the concept of ``state dependent nonlocal condition{''} and study the existence and uniqueness of solution for a general class of abstract differential equations with state dependent delay subject to this class of conditions. In this type of problem the nonlocal condition can be dependent on times or time intervals determined by the (unknown) solution. Some examples on partial differential equations with state dependent delay arising in population dynamics are presented. (C) 2018 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 17/13145-8 - Global solutions for abstract differential equations with state dependent delay
Grantee:Eduardo Alex Hernández Morales
Support Opportunities: Regular Research Grants