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

López Pouso, Rodrigo and Albés, Ignacio Márquez and Monteiro, Giselle A.: Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems. (2018)

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Abstract

We 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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 38
ISSN: 1417-3875
Page Range: pp. 1-24
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 22-24. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 06. 14:01
Last Modified: 2020. Jul. 29. 12:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/55708

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