Aktaş Mustafa F.: Periodic solutions of relativistic Liénard-type equations. (2020)
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Abstract
In this paper, we prove that the relativistic Liénard-type equation d dt x˙ |x˙| p−2 1 − |x˙| p � p−1 p + f (x) x˙ + g (x) = 0, p > 1, and its special case, relativistic Van der Pol-type equation, have a periodic solution. Our results are inspired by the results obtained by Mawhin and Villari [Nonlinear Anal. 160(2017), 16–24] and extend their results to this more general case.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 38 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.38 |
| Uncontrolled Keywords: | Liénard-típusú egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 10-12. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Nov. 30. 13:08 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/70151 |
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