On the Aronszajn property for integral equations in Banach space
Szufla, Stanisław
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 83 (1989), p. 93-99 / Harvested from Biblioteca Digitale Italiana di Matematica
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For the integral equation (1) below we prove the existence on an interval J=[0,a] of a solution x with values in a Banach space E, belonging to the class Lp⁢(J,E), p>1. Further, the set of solutions is shown to be a compact one in the sense of Aronszajn.

Usando il concetto di misura di non-compattezza si danno delle condizioni di compattezza per l'insieme di tutte le soluzioni Lp di un'equazione integrale non lineare di Volterra in uno spazio di Banach.

Publié le : 1989-12-01
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     author = {Stanis\l aw Szufla},
     title = {On the Aronszajn property for integral equations in Banach space},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
     volume = {83},
     year = {1989},
     pages = {93-99},
     zbl = {0739.45013},
     mrnumber = {1142445},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLINA_1989_8_83_1_93_0}
}

Szufla, Stanisław. On the Aronszajn property for integral equations in Banach space. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 83 (1989) pp. 93-99. http://gdmltest.u-ga.fr/item/RLINA_1989_8_83_1_93_0/

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