Existence and Uniqueness of Almost Periodic Solution for A Class of Nonlinear Delay Integro-differential Equation
- https://doi.org/10.2991/emim-15.2015.81How to use a DOI?
- Delay nonlinear system; Almost periodic solution; Existence; Lyapunov functional; Globally uniformly asymptotically stable.
In this paper, we consider a general delay nonlinear system. The existence of almost periodic solution of the system is discussed under some relatively weaker conditions by means of constructing a class of Lyapunov functional and asymptotic almost periodic functions. Finally, some examples are given to support our theoretical analyses.
- © 2015, the Authors. Published by Atlantis Press.
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- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Zongyi Hou PY - 2015/04 DA - 2015/04 TI - Existence and Uniqueness of Almost Periodic Solution for A Class of Nonlinear Delay Integro-differential Equation BT - Proceedings of the 2015 International Conference on Education, Management, Information and Medicine PB - Atlantis Press SP - 416 EP - 420 SN - 2352-5428 UR - https://doi.org/10.2991/emim-15.2015.81 DO - https://doi.org/10.2991/emim-15.2015.81 ID - Hou2015/04 ER -