Integral equations via generalized ordinary equations and applications

• Grant number: 15/10669-0
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: August 01, 2015
• End date: October 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Rafael dos Santos Marques
• Supervisor: Terry Lee Herdman
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Virginia Polytechnic Institute and State University, United States
• Associated to the scholarship: 13/22174-0 - Integral Equations via Generalized ODEs and applications, BP.MS

Abstract

It is known that certain kinds of Retarded Differential Equations can be expressed as Integral Equations that is why we are interested in investigating this kind of equation. The purpose of this project, therefore, is to develop the theory of Integral Equations, when the integrals are considered in the sense of Kurzweil-Henstock or Kurzweil-Henstock-Stieltjes, through the identification of Integral Equations with Generalized Ordinary Differential Equations. (AU)