A Priori Bounds for Periodic Solutions to Nonlinear Differential Equation with Delay
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- priori bound; nonlinear differential equation; periodic solution; coincidence degree
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.
- © 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
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 -