Amster Pablo and Kuna Mariel Paula and Santos Dionicio P.: On the solvability of the periodically forced relativistic pendulum equation on time scales. (2020)
Preview |
Teljes mű
ejqtde_2020_062.pdf Download (537kB) | Preview |
Abstract
We study some properties of the range of the relativistic pendulum operator P, that is, the set of possible continuous T-periodic forcing terms p for which the equation Px = p admits a T-periodic solution over a T-periodic time scale T. Writing p(t) = p0(t) + p, we prove the existence of a nonempty compact interval I(p0), depending continuously on p0, such that the problem has a solution if and only if p ∈ I(p0) and at least two different solutions when p is an interior point. Furthermore, we give sufficient conditions for nondegeneracy; specifically, we prove that if T is small then I(p0) is a neighbourhood of 0 for arbitrary p0. The results in the present paper improve the smallness condition obtained in previous works for the continuous case T = R.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 62 |
| ISSN: | 1417-3875 |
| Number of Pages: | 11 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.62 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 10-11. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 05. 11:43 |
| Last Modified: | 2021. Nov. 05. 11:57 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73623 |
Actions (login required)
 |
View Item |
