Existence of solutions of non-autonomous second order functional differential equations with infinit

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Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces (2015, methodology): “In [21], Henŕıquez studied the existence of solutions of non-autonomous second-order functional differential equations with infinite delay using Leray–Schauder’s alternative fixed point theorem.”
Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke’s Subdifferential Type (2018, background): “2) are studied by many authors [2,3,14,15,18,44,48,49] and the references cited therein.”
Mild solutions of non-autonomous second order problems with nonlocal initial conditions (2014, background): “We refer the reader to [4,20,29,34,47] for information about this topic.”
Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay (2020, background): “non-autonomous second-order IVP [7, 44, 45], z′′ = A(t)z(t) + E(t), 0 ≤ ξ, t ≤ c, (2.”