Bounded Solutions of Evolutionary Equations. I

Bounded Solutions of Evolutionary Equations. I

We establish necessary and sufficient conditions for the existence of solutions of differential equations bounded on the entire axis in the Fréchet and Banach spaces and a criterion for the existence of almost periodic solutions. Some examples of differential equations illustrating the proposed theo...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.261 (2), p.195-227
Hauptverfasser: Bihun, D. S., Pokutnyi, O. O., Kliuchnyk, I. G., Sadovyi, M. I., Tryfonova, O. M.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We establish necessary and sufficient conditions for the existence of solutions of differential equations bounded on the entire axis in the Fréchet and Banach spaces and a criterion for the existence of almost periodic solutions. Some examples of differential equations illustrating the proposed theory are also presented.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05747-6