?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Facta.bibl.u-szeged.hu%2F76529%2F&rft.title=Fixed-time+and+state-dependent+time+discontinuities+in+the+theory+of+Stieltjes+differential+equations&rft.creator=+Satco+Bianca&rft.subject=01.+Term%C3%A9szettudom%C3%A1nyok&rft.subject=01.01.+Matematika&rft.description=In+the+present+paper%2C+we+are+concerned+with+a+very+general+problem%2C+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%2C+in+the+present+work+we+generalize+this+setting+by+allowing+the+occurrence+of+fixed-time+impulses%2C+as+well+as+the+occurrence+of+state-dependent+impulses.+Along+with+an+existence+result+obtained+under+an+overarching+set+of+assumptions+involving+Stieltjes+integrals%2C+it+is+showed+that+a+least+and+a+greatest+solution+can+be+found.&rft.date=2022&rft.type=Foly%C3%B3irat&rft.type=NonPeerReviewed&rft.format=full&rft.language=hu&rft.identifier=http%3A%2F%2Facta.bibl.u-szeged.hu%2F76529%2F1%2Fejqtde_2022_028.pdf&rft.identifier=+++Satco+Bianca%3A+++Fixed-time+and+state-dependent+time+discontinuities+in+the+theory+of+Stieltjes+differential+equations.++(2022)+++&rft.language=eng