López Pouso, RodrigoMárquez Albés, IgnacioMonteiro, Giselle Antunes2019-10-262019-10-262018López Pouso, R., Márquez Albés, I., & Monteiro, G. (2018). Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems. Electronic Journal Of Qualitative Theory Of Differential Equations, (38), 1-24. doi: 10.14232/ejqtde.2018.1.38http://hdl.handle.net/10347/19945We use lower and upper solutions to investigate the existence of the greatest and the least solutions for quasimonotone systems of measure differential equations. The established results are then used to study the solvability of Stieltjes differential equations; a recent unification of discrete, continuous and impulsive systems. The applicability of our results is illustrated in a simple model for bacteria population.engThis is an open access article distributed under the Creative Commons Attribution License (CC BY 4.0)http://creativecommons.org/licenses/by/4.0/Measure differential equationsExtremal solutionsLower solutionUpper solutionStieltjes derivativesjournal article10.14232/ejqtde.2018.1.381417-3875open access