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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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 |
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doaj-707de79c52c04e948270f4862e98befc2021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752008-07-01200751810.14232/ejqtde.2007.7.5316On the differential and difference equation with a power delayed argumentJan Čermák0Technical University of Brno, Brno, Czech RepublicWe 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=316 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jan Čermák |
| spellingShingle |
Jan Čermák On the differential and difference equation with a power delayed argument Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Jan Čermák |
| author_sort |
Jan Čermák |
| title |
On the differential and difference equation with a power delayed argument |
| title_short |
On the differential and difference equation with a power delayed argument |
| title_full |
On the differential and difference equation with a power delayed argument |
| title_fullStr |
On the differential and difference equation with a power delayed argument |
| title_full_unstemmed |
On the differential and difference equation with a power delayed argument |
| title_sort |
on the differential and difference equation with a power delayed argument |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2008-07-01 |
| description |
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. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=316 |
| work_keys_str_mv |
AT jancermak onthedifferentialanddifferenceequationwithapowerdelayedargument |
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1721303836342091776 |