Nonlinear second order oscillators off resonance at certain functional spaces

TL;DR

This paper establishes existence and uniqueness results for odd second order oscillators off resonance within certain functional spaces, without relying on topological assumptions on the nonlinear component.

Contribution

It provides new existence and uniqueness results for nonlinear second order oscillators in specific functional spaces without topological constraints.

Findings

Existence of solutions for odd second order oscillators.

Uniqueness of solutions under specified conditions.

Results applicable to off-resonance scenarios.

Abstract

We obtain existence and uniqueness for odd second order oscillators in the space of odd functions without topological assumptions on the nonlinear part.