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arXiv · 1807.03828

Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line

Vu Trong Luong·Nguyen Huu Tri·Nguyen Van Minh
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Abstract

We study conditions for the abstract linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t), t\ge 0$ to have asymptotic almost periodic solutions, where $F(\cdot )$ is periodic, $f$ is asymptotic almost periodic. The main conditions are stated in terms of the spectrum of the monodromy operator associated with the equation and the circular spectrum of the forcing term $f$. The obtained results extend recent results on the subject.

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Vu Trong Luong, Nguyen Huu Tri, Nguyen Van Minh. 2018-07-10. Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line. https://arxiv.org/abs/1807.03828

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