Global existence and asymptotic behavior of abstract differential equations with state dependent delay

• Grant number: 19/06685-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: August 05, 2019
• End date: August 04, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eduardo Alex Hernández Morales
• Grantee: Denis Fernandes da Silva
• Supervisor: Jianhong Wu
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: York University, Canada
• Associated to the scholarship: 17/01776-3 - Global and Long Time Behaviour of Solutions of Abstract Differential Equations with State-Dependent Delay, BP.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. During the visit of Denis Fernandes to York University, research activities will be developed with prominent researcher Jianhong Wu. (AU)

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; EFENDIEV, MESSOUD; WU, JIANHONG. Finite fractal dimensional global attractor for abstract differential equations with state-dependent delay. Journal of Mathematical Analysis and Applications, v. 519, n. 1, p. 14-pg., 2023-03-01. (19/06685-1)