Geodesic
Further results for some third order differential systems with nonlinear dissipation
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 155-169.

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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.
Classification : 34B15, 34C15, 34C25
Keywords: nonlinear dissipation; sharp and nonuniform nonresonance 
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Ukpera, Awar Simon. Further results for some third order differential systems with nonlinear dissipation. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 155-169. http://geodesic.mathdoc.fr/item/AUPO_2004__43_1_a16/