Proceedings of the 2015 International Conference on Education, Management, Information and Medicine

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

Authors
Zongyi Hou
Corresponding Author
Zongyi Hou
Available Online April 2015.
DOI
https://doi.org/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/).

Download article (PDF)

Volume Title
Proceedings of the 2015 International Conference on Education, Management, Information and Medicine
Series
Advances in Economics, Business and Management Research
Publication Date
April 2015
ISBN
978-94-62520-68-4
ISSN
2352-5428
DOI
https://doi.org/10.2991/emim-15.2015.81How to use a DOI?
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/).

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  -