Bounded solutions of delay differential equations subject to a generalized nonresonance condition (Q1815645)

The authors study the existence, uniqueness, and qualitative properties of the bounded solutions for the following integro-differential equation with distributed delays of the form \[ x'(t)+ \int_\mathbb{R} g(x(t),x(t-s)) d\mu(s)=f(t), \] where \(\mu\) is a positive finite Borel measure on \(\mathbb{R}\), \(f\) is a bounded continuous real function and \(g:\mathbb{R}^2\to \mathbb{R}\) is continuously differentiable.