Displaying similar documents to “A multiplicity result for periodic solutions to higher-order ordinary differential equations via the method of upper and lower solutions.”

Further results for some third order differential systems with nonlinear dissipation

Awar Simon Ukpera (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We formulate nonuniform nonresonance criteria for certain third order differential systems of the form X ' ' ' + A X ' ' + G ( t , X ' ) + C X = 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.