Asymptotic Behavior of Linear Almost Periodic Differential Equations
The present paper is concerned with strong stability of solutions of non-autonomous equations of the form $\dot u(t)=A(t)u(t)$, where $A(t)$ is an unbounded operator in a Banach space depending almost periodically on $t$. A general condition on strong stability is given in terms of Perron conditions...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | The present paper is concerned with strong stability of solutions of
non-autonomous equations of the form $\dot u(t)=A(t)u(t)$, where $A(t)$ is an
unbounded operator in a Banach space depending almost periodically on $t$. A
general condition on strong stability is given in terms of Perron conditions on
the solvability of the associated inhomogeneous equation. |
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| DOI: | 10.48550/arxiv.1212.0813 |