Perron's theorem for nondensely defined partial functional differential equations

Autor: Nadia Drisi, Brahim Es-sebbar, Khalil Ezzinbi
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 81, Pp 1-20 (2017)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2017.1.81
Popis: The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise below), then the asymptotic behavior of solutions can be described in terms of the dynamic of the unperturbed linear part of the equation.
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