### Further results for some third order differential systems with nonlinear dissipation

We formulate nonuniform nonresonance criteria for certain third order differential systems of the form ${X}^{{}^{\text{'}\text{'}\text{'}}}+A{X}^{{}^{\text{'}\text{'}}}+G(t,{X}^{{}^{\text{'}}})+CX=P\left(t\right)$, which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.