Belirli Üçüncü Mertebeden Doğrusal Olmayan Vektörel Diferansiyel Denklemlerin Global Asimptotik Kararlılığı Üzerine Yeni Sonuçlar

Yıl 2017, Cilt: 7 Sayı: 1, 202 - 205, 01.01.2017

Muzaffer Ateş

Öz

Bu çalışmanın amacı, belirli üçüncü mertebeden doğrusal olmayan vektörel diferansiyel denklemlerin global asimptotik kararlılığını garanti etmek için yeterli şartları vermektir. Bu çalışmada sunulan sonuçlar önceden yayınlanmamış ve literatürdeki mevcut bazı sonuçları geliştirmiştir. Ana sonuçlarımızı resimlemek için basit bir örnek de verilmiştir

Anahtar Kelimeler

Doğrusal olmayan diferansiyel denklemler, Global kararlılık, Lyapunov yöntemi

New results on global asymptotic stability of certain third order nonlinear vector differential equations

Öz

The aim of this paper is to give sufficient conditions to guarantee global asymptotic stability of a certain third order nonlinear vector differential equation. The results presented in this work were not published before and upgraded some recent results in the current literature. A simple example is also given to illustrate our main results.

Anahtar Kelimeler

Nonlinear differential equation, Global stability, Lyapunov’s method

Kaynakça

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