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Existence of solutions of abstract volterra equations in a banach space and its subsets

We consider a criterion and sufficient conditions for the existence of a solution of the equation $$Z_t x = \frac{{t^{n - 1} x}}{{\left( {n - 1} \right)!}} + \int\limits_0^t {a\left( {t - s} \right)AZ_s xds} $$ in a Banach space X. We determine a resolvent of the Volterra equation by differentia...

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Datum:	2000
Hauptverfasser:	Mishura, Yu. S., Мішура, Ю. С.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4459
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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