Existence of the boundary in the Chesaro sense of a limited solution of the evolution equation in the Banach space

• Datum: 1992
• Hauptverfasser: Gorbachuk , O. L., Yakonska , N. O., Горбачук , О. Л., Яконська , Н. О.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8181
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

An existence criterion for the Cesàro limit $\Bigl(\lim_{t \to \infty} \frac{1}{t}\int_{0}^{t} y(\xi) {\rm d}\xi \Bigr)$  of a bounded solution $y(t)$ of the problem ${\rm d}y (t)/{\rm d}t = Ay (t)$, $y(0) = y_0$, $t\in [0, \infty)$, where $А$  is a closed linear operator w...