Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
<p>Consider the first-order nonlinear retarded differential equation</p> <p>$$</p> <p>x^{\prime }(t)+p(t)f\left( x\left( \tau (t)\right) \right) =0, t\geq t_{0}</p> <p>$$</p> where $p(t)$ and $\tau (t)$ are function of positive real numbers such that $...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2017-07-01
|
| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1292 |
| _version_ | 1819062169331826688 |
|---|---|
| author | Özkan Öcalan Nurten Kilic Sermin Sahin Umut Mutlu Ozkan |
| author_facet | Özkan Öcalan Nurten Kilic Sermin Sahin Umut Mutlu Ozkan |
| author_sort | Özkan Öcalan |
| collection | DOAJ |
| description | <p>Consider the first-order nonlinear retarded differential equation</p> <p>$$</p> <p>x^{\prime }(t)+p(t)f\left( x\left( \tau (t)\right) \right) =0, t\geq t_{0}</p> <p>$$</p> where $p(t)$ and $\tau (t)$ are function of positive real numbers such that $%\tau (t)\leq t$ for$\ t\geq t_{0},\ $and$\ \lim_{t\rightarrow \infty }\tau(t)=\infty $. Under the assumption that the retarded argument is non-monotone, new oscillation results are given. An example illustrating the result is also given.<br /> |
| first_indexed | 2024-12-21T14:54:30Z |
| format | Article |
| id | doaj.art-32bc8a2d21254c0daad57a8142c6bde9 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-21T14:54:30Z |
| publishDate | 2017-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-32bc8a2d21254c0daad57a8142c6bde92022-12-21T18:59:47ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-07-01142147154248Oscillation of Nonlinear Delay Differential Equation with Non-Monotone ArgumentsÖzkan Öcalan0Nurten KilicSermin SahinUmut Mutlu OzkanAkdeniz University<p>Consider the first-order nonlinear retarded differential equation</p> <p>$$</p> <p>x^{\prime }(t)+p(t)f\left( x\left( \tau (t)\right) \right) =0, t\geq t_{0}</p> <p>$$</p> where $p(t)$ and $\tau (t)$ are function of positive real numbers such that $%\tau (t)\leq t$ for$\ t\geq t_{0},\ $and$\ \lim_{t\rightarrow \infty }\tau(t)=\infty $. Under the assumption that the retarded argument is non-monotone, new oscillation results are given. An example illustrating the result is also given.<br />http://etamaths.com/index.php/ijaa/article/view/1292 |
| spellingShingle | Özkan Öcalan Nurten Kilic Sermin Sahin Umut Mutlu Ozkan Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments International Journal of Analysis and Applications |
| title | Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments |
| title_full | Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments |
| title_fullStr | Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments |
| title_full_unstemmed | Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments |
| title_short | Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments |
| title_sort | oscillation of nonlinear delay differential equation with non monotone arguments |
| url | http://etamaths.com/index.php/ijaa/article/view/1292 |
| work_keys_str_mv | AT ozkanocalan oscillationofnonlineardelaydifferentialequationwithnonmonotonearguments AT nurtenkilic oscillationofnonlineardelaydifferentialequationwithnonmonotonearguments AT serminsahin oscillationofnonlineardelaydifferentialequationwithnonmonotonearguments AT umutmutluozkan oscillationofnonlineardelaydifferentialequationwithnonmonotonearguments |