Integral Equations via Generalized ODEs and applications

• Grant number: 13/22174-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2014
• End date: May 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Rafael dos Santos Marques
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 15/10669-0 - Integral equations via generalized ordinary equations and applications, BE.EP.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.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MARQUES, Rafael dos Santos. Integral equations in the sense of Kurzweil integral and applications. 2016. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.