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arXiv · 1212.0813

Asymptotic Behavior of Linear Almost Periodic Differential Equations

Bui Xuan Dieu·Luu Hoang Duc·Stefan Siegmund·Nguyen Van Minh
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Abstract

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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BibTeXRIS

Bui Xuan Dieu, Luu Hoang Duc, Stefan Siegmund, Nguyen Van Minh. 2014-07-25. Asymptotic Behavior of Linear Almost Periodic Differential Equations. https://arxiv.org/abs/1212.0813

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