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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
When the delay term τ (t) is not necessarily monotone, we present a new sufficient condition for the oscillation of first-order delay dynamic equations on time scales.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this work, we consider the first-order dynamic equations x ∆(t) + p(t)x (τ (t)) = 0, t ∈ [t0, ∞)T where p ∈ Crd ( [t0, ∞)T, R + ) , τ ∈ Crd ([t0, ∞)T, T) and τ (t) ≤ t, limt→∞ τ (t) = ∞.
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Temel Bulgular & Veri:In this work, we consider the first-order dynamic equations x ∆(t) + p(t)x (τ (t)) = 0, t ∈ [t0, ∞)T where p ∈ Crd ( [t0, ∞)T, R + ) , τ ∈ Crd ([t0, ∞)T, T) and τ (t) ≤ t, limt→∞ τ (t) = ∞.
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Sonuç & Katkı:When the delay term τ (t) is not necessarily monotone, we present a new sufficient condition for the oscillation of first-order delay dynamic equations on time scales.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
In this work, we consider the first-order dynamic equations x ∆(t) + p(t)x (τ (t)) = 0, t ∈ [t0, ∞)T where p ∈ Crd ( [t0, ∞)T, R + ) , τ ∈ Crd ([t0, ∞)T, T) and τ (t) ≤ t, limt→∞ τ (t) = ∞. When the delay term τ (t) is not necessarily monotone, we present a new sufficient condition for the oscillation of first-order delay dynamic equations on time scales.
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Bu Makaleye Atıf Yap
ÖCALAN, Ö. (2022). An improved oscillation criteria for first order dynamic equations. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 487–495. https://ajindex.com/articles/607409