Volume 2, 2019
Difference & Differential Equations and Applications
|Number of page(s)||15|
|Section||Mathematics - Applied Mathematics|
|Published online||25 April 2019|
Periodic solutions for a class of conservative Liénard-type equations★
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: firstname.lastname@example.org
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.
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