%D 2022
%O Bibliogr.: p. 15-17. ; ĂśsszefoglalĂĄs angol nyelven
%N 28
%C Szeged
%X 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.
%L acta76529
%T Fixed-time and state-dependent time discontinuities in the theory of Stieltjes differential equations
%A  Satco Bianca
%K DifferenciĂĄlegyenlet