Stability of certain neutral type differential equation and numerical experiment via differential transform method

Authors

  • Yener Altun Van Yuzuncu Yıl University

Keywords:

Stability, Lyapunov method, LMI, DTM.

Abstract

Bu çalışmada, çok sayıda gecikmeli argüman içeren birinci dereceden nötr tip diferansiyel denklemin hem asimptotik kararlılığını hem de sayısal çözümünü elde ettik. İlk olarak, çözümlerin asimptotik kararlılığını oluşturmak için Lyapunov yöntemini kullanarak doğrusal matris eşitsizliği (LMI) cinsinden ifade edilen yeterli spesifik koşulları elde ederiz. İkinci olarak, sayısal çözümleri göstermek için diferansiyel dönüşüm yöntemini (DTM) kullanıyoruz. Son olarak, Matlab tarafından önerilen yöntemlerin ve uygun bir bilgisayar programının etkililiğini ve uygulanabilirliğini göstermek için iki örnek sunulmuştur.

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Published

2021-09-01

How to Cite

Altun, Y. (2021). Stability of certain neutral type differential equation and numerical experiment via differential transform method. International Journal of Maps in Mathematics, 4(2), 82–92. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/84

Issue

Vol. 4 No. 2 (2021): International Journal of Maps in Mathematics

Section

Articles

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