Displaying similar documents to “Multiple solutions for nonlinear periodic problems with discontinuities”

Existence of two solutions for quasilinear periodic differential equations with discontinuities

Nikolaos S. Papageorgiou, Francesca Papalini (2002)

Archivum Mathematicum

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In this paper we examine a quasilinear periodic problem driven by the one- dimensional p -Laplacian and with discontinuous forcing term f . By filling in the gaps at the discontinuity points of f we pass to a multivalued periodic problem. For this second order nonlinear periodic differential inclusion, using variational arguments, techniques from the theory of nonlinear operators of monotone type and the method of upper and lower solutions, we prove the existence of at least two non trivial...

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.