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

Vu Trong Luong; Nguyen Huu Tri; Nguyen Van Minh

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

Dynamical Systems 2018-07-12 v1

Authors: Vu Trong Luong , Nguyen Huu Tri , Nguyen Van Minh

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.

Keywords

linear functional differential equations asymptotic almost periodic solutions monodromy operator circular spectrum half line

Cite

@article{arxiv.1807.03828,
  title  = {Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line},
  author = {Vu Trong Luong and Nguyen Huu Tri and Nguyen Van Minh},
  journal= {arXiv preprint arXiv:1807.03828},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1807.03826

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

Abstract

Keywords

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