Long-term behavior of nonautonomous neutral compartmental systems

Novo Sylvia and Villarragut Víctor M.: Long-term behavior of nonautonomous neutral compartmental systems. (2022)

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Abstract

The asymptotic behavior of the trajectories of compartmental systems with a general set of admissible initial data is studied. More precisely, these systems are described by families of monotone nonautonomous neutral functional differential equations with nonautonomous operator. We show that the solutions asymptotically exhibit the same recurrence properties as the transport functions and the coefficients of the neutral operator. Conditions for the cases in which the delays in the neutral and non neutral parts are different, as well as for other cases unaddressed in the previous literature are also obtained.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 7
ISSN: 1417-3875
Number of Pages: 19
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.7
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 17-19. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 23. 15:18
Last Modified: 2022. May. 23. 15:18
URI: http://acta.bibl.u-szeged.hu/id/eprint/75822

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