Abstract differential equations of neutral type with state-dependent delay

• Grant number: 14/25820-3
• Support Opportunities: Scholarships abroad - Research
• Start date: August 14, 2015
• End date: August 13, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Michelle Fernanda Pierri Hernandez
• Grantee: Michelle Fernanda Pierri Hernandez
• Host Investigator: Jianhong Wu
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Institution abroad: York University, Canada

Abstract

The main objective of this research project is to study the existence and qualitative properties of solutions for abstract differential equations of neutral type with state-dependend delay. In particular, we are interested in the study and generalization of some recents works by Jianhong Wu.

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; PIERRI, MICHELLE; WU, JIANHONG. C1+alpha-strict solutions and wellposedness of abstract differential equations with state dependent delay. Journal of Differential Equations, v. 261, n. 12, p. 6856-6882, DEC 15 2016. (14/25820-3)

HERNANDEZ, EDUARDO; PIERRI, MICHELLE. On abstract neutral differential equations with state-dependent delay. Journal of Fixed Point Theory and Applications, v. 20, n. 3, SEP 2018. (14/25820-3)

HERNANDEZ, EDUARDO; WU, JIANHONG; FERNANDES, DENIS. Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay. APPLIED MATHEMATICS AND OPTIMIZATION, v. 81, n. 1, p. 89-111, FEB 2020. (14/25820-3)