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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 14 Sayı: 1

Existence and Uniqueness of Almost Periodic Solutions to Time Delay Differential Equations

Münevver Tuz(fırat üniversitesi)0000-0003-4797-207X
Pages
39–50
Publication Date
2024-06-28
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AI Summary & Key Takeaways

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

Bulunan sonuçlar öncekilerden farklı ve onları tamamlayıcı niteliktedir.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Bu çalışmada zaman gecikmeli bir ilişkisel sinir ağı modeli incelenmiştir.
📊
Key Findings & Data:Bu denklemin neredeyse periyodik çözümlerinin varlığı araştırılmış, Lyapunov nokta teoremi ve diferansiyel eşitsizlik yardımıyla tekliği ve kararlılığı kanıtlanmıştır.
💡
Conclusion & Impact:Bulunan sonuçlar öncekilerden farklı ve onları tamamlayıcı niteliktedir.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Almost Periodic · Neural Network · Time-Varying Delays

Abstract

Bu çalışmada zaman gecikmeli bir ilişkisel sinir ağı modeli incelenmiştir. Bu denklemin neredeyse periyodik çözümlerinin varlığı araştırılmış, Lyapunov nokta teoremi ve diferansiyel eşitsizlik yardımıyla tekliği ve kararlılığı kanıtlanmıştır. Gerçek dünyada sinir ağının sinyal iletim süreci periyodik olarak değiştiğinden, birçok bilim adamı bu konuya ağırlık vermiş ve pratik olaylara daha uygun olması sebebi ile neredeyse periyodik fonksiyon çok önem kazanmıştır. Bulunan sonuçlar öncekilerden farklı ve onları tamamlayıcı niteliktedir.

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Cite This Article

Tuz, M. (2024). Existence and Uniqueness of Almost Periodic Solutions to Time Delay Differential Equations. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 14 Sayı: 1, 39–50. https://doi.org/10.37094/adyujsci.1373700

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