Systems of nonlinear delay integral equations modelling population growth  in a periodic environment

Antonio Cañada; Abderrahim Zertiti

Displaying similar documents to “Systems of nonlinear delay integral equations modelling population growth in a periodic environment”

Existence and uniqueness of periodic solutions of mixed monotone functional differential equations.

Kang, Shugui, Cheng, Sui Sun (2009)

Abstract and Applied Analysis

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Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay

Abdelouaheb Ardjouni, Ahcène Djoudi (2014)

Commentationes Mathematicae Universitatis Carolinae

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We use a modification of Krasnoselskii’s fixed point theorem due to Burton (see [Liapunov functionals, fixed points and stability by Krasnoselskii’s theorem, Nonlinear Stud. 9 (2002), 181–190], Theorem 3) to show that the totally nonlinear neutral differential equation with variable delay $x^{'} (t) = - a (t) h (x (t)) + c (t) x^{'} (t - g (t)) Q^{'} (x (t - g (t))) + G (t, x (t), x (t - g (t))),$ has a periodic solution. We invert this equation to construct a fixed point mapping expressed as a sum of two mappings such that one is compact and the other is a large contraction. We show that the...