Győri István and Pituk Mihály: Asymptotic formulas for a scalar linear delay differential equation. (2016)
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Abstract
The linear delay differential equation x 0 (t) = p(t)x(t − r) is considered, where r > 0 and the coefficient p : [t0, ∞) → R is a continuous function such that p(t) → 0 as t → ∞. In a recent paper [M. Pituk, G. Röst, Bound. Value Probl. 2014:114] an asymptotic description of the solutions has been given in terms of a special solution of the associated formal adjoint equation and the initial data. In this paper, we give a representation of the special solution of the formal adjoint equation. Under some additional conditions, the representation theorem yields explicit asymptotic formulas for the solutions as t → ∞.
| Item Type: | Journal |
|---|---|
| Other title: | Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday |
| Publication full: | Electronic journal of qualitative theory of differential equations : special edition |
| Date: | 2016 |
| Volume: | 2 |
| Number: | 72 |
| ISSN: | 1417-3875 |
| Number of Pages: | 14 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2016.1.72 |
| Uncontrolled Keywords: | Differenciálegyenlet - késleltetett |
| Additional Information: | Bibliogr.: p. 13-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 13:35 |
| Last Modified: | 2021. Nov. 12. 09:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73739 |
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