A study of the space of continuous functions

• Grant number: 16/11751-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2016
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Andréa Cristina Prokopczyk Arita
• Grantee: Lucas Fernando da Cunha
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

The purpose of this project is to direct some concepts of functional analysis to the study of the properties of the space of continuous functions, also covering applications of some of these results in the study of the existence of solutions to differential equations.