Geodesic
Bounded and periodic solutions of~nonlinear functional differential equations
Sbornik. Mathematics, Tome 203 (2012) no. 5, pp. 743-767

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Conditions for the existence of bounded and periodic solutions of the nonlinear functional differential equation $$ \frac{d^mx(t)}{dt^m}+(Fx)(t)=h(t), \qquad t\in \mathbb{R}, $$ are presented, involving local linear approximations to the operator $F$. Bibliography: 23 titles.
Keywords: bounded and periodic solutions, nonlinear functional differential equations, invertibility of linear operators. 
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     author = {V. E. Slyusarchuk},
     title = {Bounded and periodic solutions of~nonlinear functional differential equations},
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V. E. Slyusarchuk. Bounded and periodic solutions of~nonlinear functional differential equations. Sbornik. Mathematics, Tome 203 (2012) no. 5, pp. 743-767. http://geodesic.mathdoc.fr/item/SM_2012_203_5_a4/