| Issue |
4open
Volume 2, 2019
Difference & Differential Equations and Applications
|
|
|---|---|---|
| Article Number | 5 | |
| Number of page(s) | 15 | |
| Section | Mathematics - Applied Mathematics | |
| DOI | https://doi.org/10.1051/fopen/2019003 | |
| Published online | 25 April 2019 | |
Research Article
Periodic solutions for a class of conservative Liénard-type equations★
1
Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada
2
Department of Mathematics and Statistics, Queen’s University, Kingston, ON, Canada
3
Department of Mathematics, Trent University, Peterborough, ON, Canada
* Corresponding author: wfeng@trentu.ca
Received:
29
December
2018
Accepted:
18
February
2019
In this paper, we study solvability of a class of second-order differential equations in a conservative Liénard form subject to periodic boundary conditions. Results on existence of non-trivial T-periodic solutions or positive T-periodic solutions are obtained respectively. Applications of the theorems are shown by examples. The results are proved by applying the coincidence degree theory for semilinear operator equations.
Key words: Boundary Value Problem / Coincidence degree theory / Fixed point theorem / Nonlinear operator / Periodic solution / Semilinear operator equation
© E.R. Korfanty et al., Published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.