Abstract:
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.
Fulltext:
PDF file (635 kB)
