An existence result for an abstract nonlocal boundary value problem is given. To avoid compactness conditions, the weak topology is employed. The result applies also in non reflexive spaces under a hypothesis concerning the De Blasi measure of noncompactness. Even in the case of initial value problems, the required condition is essentially milder than previously known results.
Semilinear inclusions with nonlocal conditions without compactness in non-reflexive spaces
BENEDETTI, Irene
;
2016
Abstract
An existence result for an abstract nonlocal boundary value problem is given. To avoid compactness conditions, the weak topology is employed. The result applies also in non reflexive spaces under a hypothesis concerning the De Blasi measure of noncompactness. Even in the case of initial value problems, the required condition is essentially milder than previously known results.File in questo prodotto:
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