Some results on the existence of forced oscillations in mechanical systems

TL;DR

This paper provides new sufficient conditions for the existence of forced oscillations in non-autonomous mechanical systems, applicable to systems with or without friction, supported by illustrative examples.

Contribution

It extends previous results by establishing conditions for forced oscillations in a broader class of mechanical systems, including frictionless cases.

Findings

Sufficient conditions for forced oscillations are derived.

Results apply to systems with and without friction.

Examples illustrate the theoretical findings.

Abstract

We present sufficient conditions for the existence of forced oscillations in non-autonomous mechanical systems. Previously, similar results were obtained for systems with friction. Presented results hold both for systems with and without friction. Some examples are given.