Existence and qualitative properties of solutions of abstract neutral functional differential equations

• Grant number: 11/17832-3
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2011
• End date: November 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eduardo Alex Hernández Morales
• Grantee: Eduardo Alex Hernández Morales
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In this project we continue our recents developments on abstract functional differential equations. We introduce a new class of abstract functional neutral differential equations which we call of "abstract degenerate neutral functional differential equation". Our purpose is to study the existence and qualitative properties of solutions for this type of abtract differential equations. (AU)

Scientific publications

(4)

(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; O'REGAN, DONAL; PONCE, RODRIGO. On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case. Journal of Mathematical Analysis and Applications, v. 420, n. 2, p. 1814-1831, DEC 15 2014. (11/17832-3)

HERNANDEZ, EDUARDO; O'REGAN, DONAL. On implicit abstract neutral nonlinear differential equations. APPLIED MATHEMATICS AND OPTIMIZATION, v. 73, n. 2, p. 329-347, APR 2016. (11/17832-3)

HERNANDEZ, EDUARDO; O'REGAN, DONAL. On abstract degenerate neutral differential equations. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 67, n. 5, OCT 2016. (11/17832-3)

HERNANDEZ, EDUARDO; O'REGAN, DONAL. On a New Class of Abstract Neutral Integro-Differential Equations and Applications. ACTA APPLICANDAE MATHEMATICAE, v. 149, n. 1, p. 125-137, JUN 2017. (11/17832-3)