Vector Differential–Difference Operators of Infinite Order in Spaces of Entire Functions of Exponential Type

Vector Differential–Difference Operators of Infinite Order in Spaces of Entire Functions of Exponential Type

We study vector differential-difference operators of infinite order in spaces of exponential type entire functions bounded on the real axis. These operators are used for constructing entire solutions to explicit and implicit linear inhomogeneous differential-difference equations in a Banach space.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-01, Vol.196 (4), p.515-523
Hauptverfasser: Gefter, S. L., Stulova, T. E.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We study vector differential-difference operators of infinite order in spaces of exponential type entire functions bounded on the real axis. These operators are used for constructing entire solutions to explicit and implicit linear inhomogeneous differential-difference equations in a Banach space.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1672-y