Positive periodic solutions in neutral nonlinear differential equations
We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay \begin{equation} \frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau)) \end{equation} has a positive periodic solution. An example will be provided as an application to our theor...
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| Format: | Article |
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University of Szeged
2007-09-01
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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=276 |
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doaj-36f1c109ee974e3580b0bb2cb23607542021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752007-09-0120071611010.14232/ejqtde.2007.1.16276Positive periodic solutions in neutral nonlinear differential equationsYoussef Raffoul0University of DaytonWe use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay \begin{equation} \frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau)) \end{equation} has a positive periodic solution. An example will be provided as an application to our theorems.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=276 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Youssef Raffoul |
| spellingShingle |
Youssef Raffoul Positive periodic solutions in neutral nonlinear differential equations Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Youssef Raffoul |
| author_sort |
Youssef Raffoul |
| title |
Positive periodic solutions in neutral nonlinear differential equations |
| title_short |
Positive periodic solutions in neutral nonlinear differential equations |
| title_full |
Positive periodic solutions in neutral nonlinear differential equations |
| title_fullStr |
Positive periodic solutions in neutral nonlinear differential equations |
| title_full_unstemmed |
Positive periodic solutions in neutral nonlinear differential equations |
| title_sort |
positive periodic solutions in neutral nonlinear differential equations |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2007-09-01 |
| description |
We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay
\begin{equation}
\frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau))
\end{equation}
has a positive periodic solution. An example will be provided as an application to our theorems. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=276 |
| work_keys_str_mv |
AT youssefraffoul positiveperiodicsolutionsinneutralnonlineardifferentialequations |
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1721303804344795136 |