Oscillation Results for second-order quasi-linear neutral delay di erential equations

Objective & Hypothesis:In this paper, some new oscillation criteria are obtained for the second- order quasi-linear neutral delay differential equation r(t)| x(t) + p(t)x(τ (t)) |α−1 x(t) + p(t)x(τ (t)) + f t, x(σ(t)) = 0, t ≥ t0 under the case when ∞ t0 1 1 dt < ∞.

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Key Findings & Data:Our results improve and supple- r α (t) ment some known results in the literature.

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Conclusion & Impact:An example is also provided to illustrate the main results.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Domain Parameters

Abstract

In this paper, some new oscillation criteria are obtained for the second- order quasi-linear neutral delay differential equation r(t)| x(t) + p(t)x(τ (t)) |α−1 x(t) + p(t)x(τ (t)) + f t, x(σ(t)) = 0, t ≥ t0 under the case when ∞ t0 1 1 dt < ∞. Our results improve and supple- r α (t) ment some known results in the literature. An example is also provided to illustrate the main results.

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Cite This Article

SUN, S., Lİ, T., HAN, Z., HAN, B., SUN, Y. (2022). Oscillation Results for second-order quasi-linear neutral delay di erential equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 131–138. https://ajindex.com/articles/530416

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