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

• Datum: 2015
• Hauptverfasser: Gorbachuk, V. M., Горбачук, В. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2015
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/125
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

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...