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# Article

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Keywords:
nonlinear dissipation; sharp and nonuniform nonresonance
Summary:
We formulate nonuniform nonresonance criteria for certain third order differential systems of the form $X^{^{\prime \prime \prime }} + AX^{^{\prime \prime }} + G(t,X^{^{\prime }} ) + CX = P(t)$, 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.
References:
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[12] Ukpera A.S.: Periodic solutions of certain third order differential systems with nonlinear dissipation. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 41 (2002), 147–159. MR 1968227 | Zbl 1040.34049

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