Üçüncü mertebeden gecikmeli bir diferansiyel denklem için çözümlerin sürdürülebilirliği ve sınırlılığı

Year 2021, Volume: 23 Issue: 1, 334 - 344, 29.01.2021

Timur Ayhan

https://doi.org/10.25092/baunfbed.854814

Abstract

Bu çalışmada Lyapunov’un ikinci metodu kullanılarak üçüncü mertebeden gecikmeli bir diferansiyel denklemin çözümlerinin sınırlılığı ve sürdürebilirliği ile ilgili yeni sonuçlar elde edilmiştir. Bu çalışma literatürde üçüncü mertebeden gecikmeli ve gecikmesiz diferansiyel denklemler üzerine iyi bilinen bazı sonuçları kapsamış ve daha ileri götürmüştür. Ayrıca çalışmada elde ettiğimiz sonuçların daha iyi anlaşılması için bir örnek verilmiştir.

Keywords

Lyapunov fonksiyonu, sürdürebilirlik, sınırlılık, üçüncü mertebe

Continuability and boundedness of solutions to a differential equation of third order with multiple deviating arguments

Abstract

In this study, Lyapunov's second method is used to obtain criteria for continuability and boundedness of solutions to a kind of third order differential equations with multiple deviating arguments. The result obtained in this work includes and extends some well known results on third order differential equations with and without delay in the literature. We also give an example for better understanding our result.

Keywords

Lyapunov function, continuability, boundedness, third order

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