DOAJ Open Access 2017

Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

Özkan Öcalan Nurten Kilic Sermin Sahin Umut Mutlu Ozkan

Abstrak

<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 />

Penulis (4)

Ö

Özkan Öcalan

N

Nurten Kilic

S

Sermin Sahin

U

Umut Mutlu Ozkan

Format Sitasi

Öcalan, Ö., Kilic, N., Sahin, S., Ozkan, U.M. (2017). Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments. http://www.etamaths.com/index.php/ijaa/article/view/1292

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Tahun Terbit
2017
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DOAJ
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Open Access ✓