Function bounds for solutions of Volterra integro dynamic equations on time scales
| Autor: | Murat Adıvar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Electronic Journal of Qualitative Theory of Differential Equations, Vol 2010, Iss 7, Pp 1-22 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2010.1.7 |
| Popis: | Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases $\mathbb{T}=\mathbb{R}$ and $\mathbb{T}=\mathbb{Z}$. Extending the scope of time scale variant of Gronwall's inequality we determine function bounds for the solutions of the integro dynamic equation. |
| Databáze: | Directory of Open Access Journals |
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