An approximation solvability method for nonlocal differential problems in Hilbert spaces

Benedetti, Irene; Loi, Nguyen V.; Malaguti, Luisa; Obukhovskii, Valeri

doi:10.1142/S0219199716500024

A new approach is developed for the solvability of nonlocal problems in Hilbert spaces associated to nonlinear differential equations. It is based on a joint combination of the degree theory with the approximation solvability method and the bounding functions technique. No compactness or condensivity condition on the nonlinearities is assumed. Some applications of the abstract result to the study of nonlocal problems for integrodifferential equations and systems of integro-differential equations are then showed. A generalization of the result by using nonsmooth bounding functions is given.

An approximation solvability method for nonlocal differential problems in Hilbert spaces / Benedetti, Irene; Loi, Nguyen V.; Malaguti, Luisa; Obukhovskii, Valeri. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - ELETTRONICO. - (2017), pp. 1-33.

Data di pubblicazione:	2017
Titolo:	An approximation solvability method for nonlocal differential problems in Hilbert spaces
Autore/i:	Benedetti, Irene; Loi, Nguyen V.; Malaguti, Luisa; Obukhovskii, Valeri
Autore/i UNIMORE:	Benedetti, Irene Loi, Nguyen V. MALAGUTI, Luisa Obukhovskii, Valeri mostra contributor esterni nascondi contributor esterni
Digital Object Identifier (DOI):	http://dx.doi.org/10.1142/S0219199716500024
Rivista:	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Pagina iniziale:	1
Pagina finale:	33
Codice identificativo ISI:	WOS:000395154200001
Codice identificativo Scopus:	2-s2.0-84964331043
Citazione:	An approximation solvability method for nonlocal differential problems in Hilbert spaces / Benedetti, Irene; Loi, Nguyen V.; Malaguti, Luisa; Obukhovskii, Valeri. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - ELETTRONICO. - (2017), pp. 1-33.
Tipologia	Articolo su rivista

File in questo prodotto:

File	Descrizione	Tipologia
BLMO.pdf	Articolo principale	Post-print dell'autore (bozza post referaggio)	Open Access Visualizza/Apri
Benedetti Loi Malaguti Obukhovskii 2017.pdf	reprint	Versione dell'editore (versione pubblicata)	Administrator Richiedi una copia

Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11380/1082386

Citazioni

I documenti presenti in Iris Unimore sono rilasciati con licenza Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia, salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris