An analysis on the stability of a state dependent delay differential equation
| Autor: | Erman Sertaç, Demir Ali |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Open Mathematics, Vol 14, Iss 1, Pp 425-435 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2391-5455 2016-0038 |
| DOI: | 10.1515/math-2016-0038 |
| Popis: | In this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term τ(u(t))=a+bu(t)c+bu(t).$\tau (u(t)) = \frac{{a + bu(t)}}{{c + bu(t)}}.$ Moreover, we put the some restrictions for the positivity of delay term τ(u(t)) Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation. |
| Databáze: | Directory of Open Access Journals |
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