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.
Guardat en:
| Publicat a: | Revista Integración |
|---|---|
| Autors principals: | , , |
| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
Universidad Industrial de Santander
2014
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| Matèries: | |
| Accés en línia: | https://www.redalyc.org/articulo.oa?id=327031216006 |
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