Extremal solutions of systems of measure differential equations and\n applications in the study of Stieltjes differential problems

2018/03/23 by Rodrigo López Pouso, Pouso, Rodrigo Lopez, Ignacio Márquez Albés +3
Mathematics · Medicine · #26A24 #34A12 #34A34 #34A36 #45G15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1803.08860

openalex publication_date 2018/03/23 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We use lower and upper solutions to investigate the existence of the greatest\nand the least solutions for quasimonotone systems of measure differential\nequations. The established results are then used to study the solvability of\nStieltjes differential equations; a recent unification of discrete, continuous\nand impulsive systems. The applicability of our results is illustrated in a\nsimple model for bacteria population.\n

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