On solutions of differential equations in Banach space on the whole real axis

We consider an equation of the form $\left(\frac{d}{dt} - A\right)^n\left(\frac{d}{dt} + A\right)^my(t) = 0, \ t \in = (-\infty, \infty)$, \ $n, m \in \mathbb{N}_{0} = \{0\}\cup \mathbb{N}, \ n + m \geq 1 $, where $A$ is the generator of a bounded analytic $C_{0}$-semigroup of linear operators in a...

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Bibliographic Details
Date:2015
Main Authors: Gorbachuk, V. M., Горбачук, В. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/125
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine