Banca de DEFESA: Anna Carolina Martins Machado Lafetá

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : Anna Carolina Martins Machado Lafetá
DATE: 18/11/2022
TIME: 14:00
LOCAL: PPGMAT
TITLE:

 Functional Volterra-Stieltjes Integral Equations

KEY WORDS:

Key-words: Functional integral equations; Volterra--Stieltjes equations; impulsive integral
equations; Delta-integral equations on time scales; periodicity; stability; continuous dependence.

PAGES: 131
BIG AREA: Outra
AREA: Defesa
SUMMARY:

In this thesis, we study the functional Volterra--Stieltjes integral equations given by:
where the integral on the right--hand side is taken in the sense of Henstock--Kurzweil--Stieltjes.
In this work, we present sufficient conditions in order to guarantee the existence, uniqueness and
prolongation of solutions for this type of equations. We also prove the correspondence between
these equations and the functional Volterra delta integral equations on time scales, as well as with
the impulsive functional Volterra--Stieltjes integral equations. We present results concerning
stability, continuous dependence with respect on parameters and periodicity. The new results can
be found in \cite{GL, GLM2, GLM, LMS}.

BANKING MEMBERS:
Externa à Instituição - VALERIA NEVES DOMINGOS CAVALCANTI
Externo à Instituição - GERALDO NUNES SILVA - UNESP
Presidente - 2255457 - JAQUELINE GODOY MESQUITA
Interna - 1858575 - MANUELA CAETANO MARTINS DE REZENDE