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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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/
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