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Linear semi-dynamical systems

✍ Scribed by Otomar Hájek


Publisher
Springer
Year
1968
Tongue
English
Weight
451 KB
Volume
2
Category
Article
ISSN
1433-0490

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📜 SIMILAR VOLUMES


On the Spectrum, Complete Trajectories,
✍ V.Q. Phong 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 594 KB

Let \(\{T(t)\}_{1 \geqslant 0}\) be a \(C_{0}\)-semigroup in a Banach space \(X\) with generator \(A\). We prove that if \(\{T(t)\}_{t \geqslant 0}\) is bounded and sun-reflexive, and the sun-dual semigroup is not asymptotically stable, then there exist bounded complete trajectories under \(\{T(t)\}