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

2018/07/10 by Vu Trong Luong, Luong, Vu Trong, Nguyen Huu Tri +3
Computer Science · Mathematics · #34C27 #35B40 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Primary: 34K06 #Secondary: 35B15

paper · pdf · doi:10.48550/arxiv.1807.03828

openalex publication_date 2018/07/10 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

We study conditions for the abstract linear functional differential equation\n\x=Ax+F(t)x_t+f(t), t\≥ 0 to have asymptotic almost periodic solutions,\nwhere F(\⋅ ) is periodic, f is asymptotic almost periodic. The main\nconditions are stated in terms of the spectrum of the monodromy operator\nassociated with the equation and the circular spectrum of the forcing term f.\nThe obtained results extend recent results on the subject.\n

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