Positive periodic solutions of functional differential equations

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Periodic solutions for scalar functional differential equations (2005, background): “In addition, Wang [20] also establish two criteria for the nonexistence of periodic solutions.”
Periodic solutions of functional dynamic equations with infinite delay (2008, methodology): “9 and [16, 22]), which are a little bit less concrete.”
Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales (2007, background): “Single or twin solutions For the sake of convenience, we define as [39] i0 = number of zeros in the set {f0, f∞} and i∞ = number of infinities in the set {f0, f∞}.”
Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems (2016, unknown): “For other criteria of existence of periodic solutions for scalar periodic DDEs within the class x′(t) = ∓a(t)f(x(t))x(t)±λb(t)g(xt) and based on several fixed point methods, see [4, 10, 19, 27, 30] and references therein.”
A vector version of Krasnosel’skiĭ’s fixed point theorem in cones and positive periodic solutions of nonlinear systems (2007, background): “One of the most common approaches to the existence of positive solutions of various types of nonlinear problems is based on the use of Krasnosel’skĭı’s fixed point theorems in cones (see [1]–[4], [9], [10], [12], [15]–[18]).”