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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 2

Oscillation Test for Linear Delay Differential Equation with Nonmonotone Argument

Nurten Kılıç
Pages
310–317
Publication Date
2022-11-02
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also give an example illustrating the result.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we analyze the first order linear delay differential equation x 0 (t) + p(t)x (τ(t)) = 0, t ≥ t0, where p, τ ∈ C ([t0, ∞),R + ) and τ(t) ≤ t, limt→∞ τ(t) = ∞.
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Key Findings & Data:Under the assumption that τ(t) is not necessarily monotone, we obtain new sufficient criterion for the oscillatory solutions of this equation.
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Conclusion & Impact:We also give an example illustrating the result.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, we analyze the first order linear delay differential equation x 0 (t) + p(t)x (τ(t)) = 0, t ≥ t0, where p, τ ∈ C ([t0, ∞),R + ) and τ(t) ≤ t, limt→∞ τ(t) = ∞. Under the assumption that τ(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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Cite This Article

Kılıç, N. (2022). Oscillation Test for Linear Delay Differential Equation with Nonmonotone Argument. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 2, 310–317. https://ajindex.com/articles/609093

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