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.
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 
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/
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