Integral Equations via Generalized Riemann Integral

• Grant number: 12/00035-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2012
• End date: November 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Danilo de Camargos Retucci
• 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 iniciate the candidate into the study of the fundamental theory (existence and uniqueness of solutions) of Linear Integral Equations of Volterra type, where the integral involved is the generalized Riemann integral, also known as the Kurzweil-Henstock integral. Therefore, this project involves the investigation of two distinct theories: Non Absolute Integration and Linear Integral Equations.