Existence and Uniqueness of Almost Periodic Solution for A Class of Nonlinear Delay Integro-differential Equation

DOI

10.2991/emim-15.2015.81How to use a DOI?

Keywords

Delay nonlinear system; Almost periodic solution; Existence; Lyapunov functional; Globally uniformly asymptotically stable.

Abstract

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - 10.2991/emim-15.2015.81
ID  - Hou2015/04
ER  -