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Integral equations via generalized ordinary equations and applications

Grant number: 15/10669-0
Support type:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): August 01, 2015
Effective date (End): October 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Márcia Cristina Anderson Braz Federson
Grantee:Rafael dos Santos Marques
Supervisor abroad: Terry Lee Herdman
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: 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)

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