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

Year 2017, Volume: 7 Issue: 1, 202 - 205, 01.01.2017

Muzaffer Ateş

Abstract

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

Keywords

Doğrusal olmayan diferansiyel denklemler, Global kararlılık, Lyapunov yöntemi

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

Abstract

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.

Keywords

Nonlinear differential equation, Global stability, Lyapunov’s method

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