On the differential and difference equation with a power delayed argument
We study the qualitative behaviour of solutions of the differential equation $$ \dot{y}(t)=a\,y(t^{\alpha})+b\,y(t),\qquad t\in [1,\infty ), $$ where $0<\alpha <1$, $a\ne 0$, $b\le 0$ are real scalars. Our aim is to present (and using the analysis of the numerical discretization also partly ex...
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| Format: | Article |
| Language: | English |
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University of Szeged
2008-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=316 |
| Summary: | We study the qualitative behaviour of solutions of the differential equation
$$
\dot{y}(t)=a\,y(t^{\alpha})+b\,y(t),\qquad t\in [1,\infty ),
$$
where $0<\alpha <1$, $a\ne 0$, $b\le 0$ are real scalars. Our aim is to present (and using the analysis of the numerical discretization also partly explain) some specific properties of solutions on the unbounded as well as the compact domain. |
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| ISSN: | 1417-3875 1417-3875 |