WELL-POSEDNESS OF ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Hernandez, Eduardo; Fernandes, Denis; Wu, Jianhong

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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.)

WELL-POSEDNESS OF ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

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Author(s):	Hernandez, Eduardo ^[1] ; Fernandes, Denis ^[2] ; Wu, Jianhong ^[3] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP - Brazil ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil ^[3] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3 - Canada Total Affiliations: 3
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 148, n. 4, p. 1595-1609, APR 2020.
Web of Science Citations:	0
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. (AU)

FAPESP's process:	17/01776-3 - Global and Long Time Behaviour of Solutions of Abstract Differential Equations with State-Dependent Delay
Grantee:	Denis Fernandes da Silva
Support Opportunities:	Scholarships in Brazil - Doctorate

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