Geodesic
Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 2, pp. 129-140.

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This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.
Classification : 34B15, 34C15, 34C25
Keywords: non-resonant oscillations; fourth order differential systems; Leray–Schauder continuation techniques 
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Ukpera, Awar Simon; Adesina, Olufemi Adeyinka. Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 2, pp. 129-140. http://geodesic.mathdoc.fr/item/AUPO_2012__51_2_a9/