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: | , , , |
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2017-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1292 |
| Summary: | <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 /> |
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| ISSN: | 2291-8639 |