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Nemytskii operator on generalized bounded variation space

In this paper we show that if the Nemytskii operator maps the (φ, α)-bounded variation space into itself and satisfies some Lipschitz condi- tion, then there are two functions g and h belonging to the (φ, α)-bounded variation space such that f (t, y) = g(t)y + h(t) for all t ∈ [a, b], y ∈ R.

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Publicat a:Revista Integración
Autors principals: René Erlín Castillo, Humberto Rafeiro, Eduard Trousselot
Format: Artigo
Idioma:Inglês
Publicat: Universidad Industrial de Santander 2014
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Accés en línia:https://www.redalyc.org/articulo.oa?id=327031216006
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