Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems
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University of Szeged
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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.
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López 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.2018.1.38
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https://doi.org/10.14232/ejqtde.2018.1.38Sponsors
Rodrigo López Pouso was partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia REDES 2016 GI-1561 IEMath-Galicia and GRC2015/004. Ignacio Márquez Albés was partially supported by Xunta de Galicia under grant ED481A-2017/095. The project was financed by the SASPRO Programme. The research of Giselle A. Monteiro leading to these results has received funding from the People Programme (Marie CurieActions) European Union’s Seventh Framework Programme under REA grant agreement No. 609427. Research has been further co-funded by the Slovak Academy of Sciences. The Institute of Mathematics of the Czech Academy of Sciences is supported by RVO: 67985840.
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This is an open access article distributed under the Creative Commons Attribution License (CC BY 4.0)