Admissibility couples of spaces for linear difference operators and equations
UDC
517.929.2EDN
MUWGOZAbstract
The assumptions are obtained for the subspace $X$ of the space $l_\infty$ under which the admissibility of the couple $(l_\infty,l_\infty)$ for the linear difference operator follows from the admissibility of the couple $(X,l_\infty)$. Using this, the criterion for admissibility of the couple $(X,X)$ for the linear difference equation is derived.
Keywords:
linear difference equation, linear difference operator, space of bounded sequences, admissibility of couples of spacesReferences
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Dates
Submitted
June 14, 2010
Accepted
June 18, 2010
Published
June 30, 2010
How to Cite
[1]
Afanasyeva, T.N., Tsalyuk, Z.B., Admissibility couples of spaces for linear difference operators and equations. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2010, № 2, pp. 12–20.
License
Copyright (c) 2010 Афанасьева Т.Н., Цалюк З.Б.
This work is licensed under a Creative Commons Attribution 4.0 International License.
