2 papers
math.OC2021
On the extension of battys theorem on the semigroup asymptotic stability
Grigory M. Sklyar, Piotr Polak, Bartosz Wasilewski
The well-known Batty's theorem states that if a -semigroup is bounded and the spectrum of the generator is contained in the open left-half plane of , th…
math.AP2013
On estimation of solutions of neutral type systems on nonclosed sets
G. M. Sklyar, P. Polak
We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of solutions of the system in question on some nonclosed set. Our resu…