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

Year 2024, , 39 - 50, 28.06.2024

Münevver Tuz

https://doi.org/10.37094/adyujsci.1373700

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.

Keywords

Almost Periodic, Neural Network, Time-Varying Delays, Existence, Stability.

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