1
views
0
recommends
+1 Recommend
1 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Periodic solutions for a class of conservative Liénard-type equations★

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          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.

          Related collections

          Most cited references 22

          • Record: found
          • Abstract: not found
          • Article: not found

          On a Peculiar Class of Acoustical Figures; and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces

           M. Faraday (1831)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Solvability ofm-Point Boundary Value Problems with Nonlinear Growth

             W. Feng,  J.R.L. Webb (1997)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Periodic Solutions of Liénard Equations with Singular Forces of Repulsive Type

               Meirong Zhang (1996)
                Bookmark

                Author and article information

                Journal
                fopen
                https://www.4open-sciences.org
                4open
                4open
                EDP Sciences
                2557-0250
                25 April 2019
                25 April 2019
                2019
                : 2
                : ( publisher-idID: fopen/2019/01 )
                Affiliations
                [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,
                Author notes
                [* ]Corresponding author: wfeng@ 123456trentu.ca
                Article
                fopen180047
                10.1051/fopen/2019003
                © 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.

                Page count
                Figures: 7, Tables: 1, Equations: 275, References: 22, Pages: 15
                Product
                Self URI (journal page): https://www.4open-sciences.org/
                Funding
                Funded by: Natural Sciences and Engineering Research Council of Canada http://dx.doi.org/10.13039/501100000038
                Award ID: RGPIN/6098-2016
                Categories
                Mathematics - Applied Mathematics
                Research Article
                Difference & Differential Equations and Applications
                Custom metadata
                4open 2019, 2, 5
                2019
                2019
                2019

                Comments

                Comment on this article