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Dergiler / Turkish Journal of Mathematics and Computer Science / 2021 / Volume: 13 Issue: 2

Oscillation Test for Linear Delay Differential Equation with Nonmonotone Argument

Nurten Kılıç(DUMLUPINAR ÜNİVERSİTESİ)0000-0001-9632-6651
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Yayın Tarihi
2021-12-31
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We also give an example illustrating the result.

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Amaç & Hipotez:In this article, we analyze the first order linear delay differential equation \begin{equation*} x^{\prime }(t)+p(t)x\left( \tau (t)\right) =0,\text{ }t\geq t_{0}, \end{equation*} where $p,$ $\tau \in C\left( [t_{0},\infty ),\mathbb{R}^{+}\right) $ and $% \tau (t)\leq t,\ \lim_{t\rightarrow \infty }\tau (t)=\infty $.
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Temel Bulgular & Veri:Under the assumption that $\tau (t)$ is not necessarily monotone, we obtain new sufficient criterion for the oscillatory solutions of this equation.
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Sonuç & Katkı:We also give an example illustrating the result.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Delay equation · nonmonotone argument · oscillatory solution

Abstract

In this article, we analyze the first order linear delay differential equation \begin{equation*} x^{\prime }(t)+p(t)x\left( \tau (t)\right) =0,\text{ }t\geq t_{0}, \end{equation*} where $p,$ $\tau \in C\left( [t_{0},\infty ),\mathbb{R}^{+}\right) $ and $% \tau (t)\leq t,\ \lim_{t\rightarrow \infty }\tau (t)=\infty $. Under the assumption that $\tau (t)$ is not necessarily monotone, we obtain new sufficient criterion for the oscillatory solutions of this equation. We also give an example illustrating the result.

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Bu Makaleye Atıf Yap

Kılıç, N. (2021). Oscillation Test for Linear Delay Differential Equation with Nonmonotone Argument. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 2. https://doi.org/10.47000/tjmcs.893395

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Kaynakça (17)

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