Stability theory for neutral measure functional differential equations

• Grant number: 12/18559-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2013
• End date: March 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Patricia Hilario Tacuri Córdova
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The aim of this project is to introduce stability concepts for solutions of measure neutral functional differential equations (NFDEs em medida), by means of the correspondence between the solutions of generalized ordinary differential equations (generalized ODEs) and the solutions of measure NFDEs. Besides, we want to develop the stability theory for measure NFDEs through the theory of Lyapunov.