### A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems

In this work we will be concerned with the existence of almost homoclinic solutions for a Newtonian system $q\u0308+{\nabla}_{q}V(t,q)=f\left(t\right)$, where t ∈ ℝ, q ∈ ℝⁿ. It is assumed that a potential V: ℝ × ℝⁿ → ℝ is C¹-smooth and its gradient map ${\nabla}_{q}V:\mathbb{R}\times \mathbb{R}\u207f\to \mathbb{R}\u207f$ is bounded with respect to t. Moreover, a forcing term f: ℝ → ℝⁿ is continuous, bounded and square integrable. We will show that the approximative scheme due to J. Janczewska (see [J2]) for a time periodic potential extends to our case.