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Entire solutions of one linear implicit differential-difference equation in Banach spaces

We establish the existence and uniqueness conditions for the solution for the initial problem $Bu\prime (z) = Au(z + h) + f(z),\; z \in C, u(0) = u_0$ in the classes of entire functions of exponential type. Closed linear operators $A$ and $B$ act on Banach spaces and can be degenerate. We also pres...

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Datum:	2018
Hauptverfasser:	Gefter, S. L., Piven’, A. L., Гефтер, С. Л., Півень, О. Л.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2018
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1616
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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