Data di Pubblicazione:
2013
Citazione:
Nonmonotone equations with large almost periodic forcing terms / J. Campos, M. Tarallo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 254:2(2013 Jan), pp. 686-724. [10.1016/j.jde.2012.09.013]
Abstract:
We consider the scalar differential equation View the MathML source where f(u) is a jumping nonlinearity and h(t) is an almost periodic function, while c is a real parameter deciding the size of the forcing term. The main result is that, if h(t) does not vanish too much in some suitable sense, then the equation admits a (unique) almost periodic solution for large values of the parameter c. The class of the h(t)ʼs to which the result applies is studied in detail: it includes all the nontrivial trigonometric polynomials and is generic in the Baire sense.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Almost periodic solutions; Bounded solutions; Compact groups; Haar measure
Elenco autori:
J. Campos, M. Tarallo
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