Positive periodic solutions for a neutral differential equation with iterative terms arising in biology and population dynamics

	Positive periodic solutions for a neutral differential equation with iterative terms arising in biology and population dynamics
International Journal of Nonlinear Analysis and Applications
مقاله 87، دوره 13، شماره 2، مهر 2022، صفحه 1041-1051 اصل مقاله (372.83 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26264.3281
نویسندگان
Lynda Mezghiche؛ Rabah Khemis^* ؛ Ahleme Bouakkaz
Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS),University of 20 August 1955, Skikda, Algeria
چکیده
In this article, a class of first order neutral delay differential equations with iterative terms is investigated. The proofs of the existence of positive periodic solutions rely on the Krasnoselskii's fixed point theorem together with the Green's functions method. Furthermore, by the aid of the Banach fixed point theorem and under an extra condition, we establish the existence, uniqueness and stability results. We provide an example to show the accuracy of the conditions of the obtained findings which extend and generalize earlier ones in the literature.
کلیدواژه‌ها
Neutral functional-differential equations؛ Continuous dependence؛ Fixed point theorems؛ Periodic solutions
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