Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

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A Priori Bounds for Periodic Solutions to Nonlinear Differential Equation with Delay

Authors
Xinyi Chen
Corresponding Author
Xinyi Chen
Available Online May 2016.
DOI
10.2991/amsm-16.2016.36How to use a DOI?
Keywords
priori bound; nonlinear differential equation; periodic solution; coincidence degree
Abstract

A priori bounds are established for periodic solutions of a nonlinear differential equation with delay. By means of these bounds, an existence theorem for periodic solutions can be obtained by means of Mawhin's continuation theorem. Our work generalizes the known result.

Copyright
© 2016, 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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Volume Title
Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
Series
Advances in Computer Science Research
Publication Date
May 2016
ISBN
978-94-6252-198-8
ISSN
2352-538X
DOI
10.2991/amsm-16.2016.36How to use a DOI?
Copyright
© 2016, 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

risenwbib
TY  - CONF
AU  - Xinyi Chen
PY  - 2016/05
DA  - 2016/05
TI  - A Priori Bounds for Periodic Solutions to Nonlinear Differential Equation with Delay
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 157
EP  - 160
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.36
DO  - 10.2991/amsm-16.2016.36
ID  - Chen2016/05
ER  -