relation: http://acta.bibl.u-szeged.hu/76529/
title: Fixed-time and state-dependent time discontinuities in the theory of Stieltjes differential equations
creator:  Satco Bianca
subject: 01. Természettudományok
subject: 01.01. Matematika
description: In the present paper, we are concerned with a very general problem, namely the Stieltjes differential Cauchy problem involving state-dependent discontinuities. Given that the theory of Stieltjes differential equations covers the framework of impulsive problems with fixed-time impulses, in the present work we generalize this setting by allowing the occurrence of fixed-time impulses, as well as the occurrence of state-dependent impulses. Along with an existence result obtained under an overarching set of assumptions involving Stieltjes integrals, it is showed that a least and a greatest solution can be found.
date: 2022
type: Folyóirat
type: NonPeerReviewed
format: full
language: hu
identifier: http://acta.bibl.u-szeged.hu/76529/1/ejqtde_2022_028.pdf
identifier:    Satco Bianca:   Fixed-time and state-dependent time discontinuities in the theory of Stieltjes differential equations.  (2022)   
language: eng