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Periodic solutions for some nonlinear systems with p-Laplacian like operators. (English) Zbl 0905.34038
García, C. (ed.) et al., Proceedings of the 4th Catalan days on Applied Mathematics, Tarragona, Spain, February 11-13, 1998. Tarragona: Univ., Department d’Enginyeria Informàtica, 103-122 (1998).

The existence of a periodic solution is reduced by the Poincaré method of sections to the existence of a fixed point. The period T of the periodic solution (‘distance’ between sections) is presumed to be known. It is not specified whether the ‘forcing function’ f is periodic or not. It is not known in advance whether nonresonant, resonant harmonic, resonant subharmonic, or autonomous periodic solutions are considered.

The method of reduction is not constructive, merely ‘very’ general. No indication is given whether all imposed conditions are necessary.

MSC:
34C25Periodic solutions of ODE
34B15Nonlinear boundary value problems for ODE