Asymptotic behavior of solutions of periodic linear partial functional differential equations on the half line

[摘要] We study conditions for the abstract linear functional differential equation (x) over dot = Ax + F(t)x(t) + f (t), t >= 0 to have asymptotic almost periodic solutions, where F(.) 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. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-09-25

[关键词] Partial functional differential equation;Asymptotic almost periodicity