Explicit abstract neutral differential equations with state-dependent delay.

• Grant number: 24/10920-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: January 01, 2025
• End date: August 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo Rempel Ebert
• Grantee: Rolando Alfredo Urtecho Vidaurre
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

The objective of this project is to devolop studies on the existence and uniqueness of solution for abstract neutral explicit differential equations with state-dependend delay. Our basic objective is to read the article,Hernandez, Eduardo., On Explicit Abstract Neutral Differential Equations with State-Dependent Delay II, To appear in Proc. Amer. Math. soc,on explicit neutral equations with applications to partial differential equations of the neutral type.