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Integral Equations via Generalized ODEs and applications

Grant number: 13/22174-0
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): March 01, 2014
Effective date (End): 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


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.

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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.

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