First-order periodic coupled systems with orderless lower and upper solutions

Autor: Feliz Minhós, Sara Perestrelo
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 7, Pp 16542-16555 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023846?viewType=HTML
Popis: We present some existence and localization results for periodic solutions of first-order coupled nonlinear systems of two equations, without requiring periodicity for the nonlinearities. The arguments are based on Schauder's fixed point theorem together with not necessarily well-ordered upper and lower solutions. A real-case scenario shows the applicability of our results to some population dynamics models, describing the interaction between a criminal and a non-criminal population with a law enforcement component.
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