A NEW INSTABILITY RESULT ON THE SOLUTIONS OF NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF THE FIFTH ORDER

Year 2015, , 248 - 258, 06.04.2015

Melike Karta

https://doi.org/10.18185/eufbed.74815

Abstract

The purpose of this paper is to investigate instability of the trivial solution of non-linear vector differential equation of the fifth order by constructing a Lyapunov function to get a new instability result and also to give an example indicate the importance of the topic. Related to a scalar differential equation mentioned in the literature, the findings of this study are beneficial for result of instability of the trivial solution of five order non-linear vectoral differential equations.

Keywords

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BEŞINCI MERTEBEDEN LİNEER OLMAYAN VEKTÖR DIFERENSIYEL DENKLEMLERİN ÇÖZÜMLERİNİN KARARSIZLIĞI ÜZERINE YENİ BİR SONUÇ

Abstract

Bu makalede, reel öklid uzayında

Keywords

Kararsızlık, Krasovskii kriteri, Lyapunov’un ikinci

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