Andréa Cristina Prokopczyk Arita

• Abstract

  The purpose of this project is to study evolution equations by the methods of functional analysis from the theory of operators and fixed point. In particular, we will study qualitative properties for the Blackstock-Crighton-Westervelt equation. (AU)

  Regularized families and evolution equations: qualitative properties, AV.EXT
• 9th AIMS Conference on Dynamics Systems, Differential Equations and Applications, AR.EXT

• Abstract

  Taking advantage of the moment in which we are living due to the pandemic of the new corona virus, we will present a study of the epidemiological model SIR (susceptible infected recovered), which predicts the spread of a contagious disease, to motivate the study of differential equations of fractional order, comparing a mathematical model of fractional order derivative with the traditiona…

  An integer order and a fractional order epidemiologic model, BP.IC

• Abstract

  This project is divided into two parts: the first one is concerned to study some topics of functional analysis that will serve as a basis and tool for then, in the second part, we start developing the theory of semigroups of bounded linear operators. Next, we will apply the results already seen in the study of the abstract Cauchy problem. (AU)

  Functional analysis and an introduction to the theory of semigroups of bounded linear operators, BP.IC

• 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.

  A study of the space of continuous functions, BP.IC

(Only some records are available in English at this moment)