article · SHILAP Revista de lepidopterología · 2014

Nemytskii operator on generalized bounded variation space

René Erlín Castillo, Humberto Rafeiro, Eduard Trousselot

Cited by 2Open access

Abstract

"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."

Cite this paper

APA 7

Castillo, R. E., Rafeiro, H., & Trousselot, E. (2014). Nemytskii operator on generalized bounded variation space. SHILAP Revista de lepidopterología.

MLA 9

Castillo, René Erlín, et al. “Nemytskii operator on generalized bounded variation space.” SHILAP Revista de lepidopterología, 2014.

Chicago

Castillo, René Erlín, Humberto Rafeiro, and Eduard Trousselot. 2014. “Nemytskii operator on generalized bounded variation space.” SHILAP Revista de lepidopterología.

Harvard

Castillo, R.E., Rafeiro, H. and Trousselot, E. (2014) ‘Nemytskii operator on generalized bounded variation space’, SHILAP Revista de lepidopterología.

BibTeX

@article{castillo2014nemytskii,
  title = {{Nemytskii operator on generalized bounded variation space}},
  author = {Castillo, René Erlín and Rafeiro, Humberto and Trousselot, Eduard},
  journal = {SHILAP Revista de lepidopterología},
  year = {2014}
}

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