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Stability theory for neutral measure functional differential equations

Grant number: 12/18559-1
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): February 01, 2013
Effective date (End): March 31, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Márcia Cristina Anderson Braz Federson
Grantee:Patricia Hilario Tacuri Córdova
Home 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.

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