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Global and Long Time Behaviour of Solutions of Abstract Differential Equations with State-Dependent Delay

Grant number: 17/01776-3
Support Opportunities:Scholarships in Brazil - Doctorate
Start date: July 01, 2017
End date: February 28, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Eduardo Alex Hernández Morales
Grantee:Denis Fernandes da Silva
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated scholarship(s):19/06685-1 - Global existence and asymptotic behavior of abstract differential equations with state dependent delay, BE.EP.DR

Abstract

The objective of the project is the study of the existence and qualitative properties of global solutions for abstract differential equations with state-dependent delay. We have special interest in the study of the qualitative properties of global solutions and attractors. The project consider the visit of Denis Fernandes to York University, Canada, to develop research activities with the prominent researcher Jianhong Wu. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
HERNANDEZ, EDUARDO; FERNANDES, DENIS; WU, JIANHONG. WELL-POSEDNESS OF ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY. Proceedings of the American Mathematical Society, v. 148, n. 4, p. 1595-1609, . (17/01776-3)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SILVA, Denis Fernandes da. Wellposedness and asymptotic behavior of solutions of abstract differential equations with state-dependent delay. 2021. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.