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.
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