International Journal of Mathematics and Statistics Studies (IJMSS)

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On the Stability of Solutions of Grand General Third Order Non Linear Ordinary Differential Equation

Abstract

This work deals with the stability of solutions of the nonlinear third order autonomous ordinary differential equation. By constructing suitable Liapounov functional, the sufficient conditions for the ordinary stability and asymptotic stability of the trivial solution   to the differential equation are established.

Keywords: Liapounov functional; Positive definite; negative definite, Stability, trivial solution

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This work by European American Journals is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 Unported License

 

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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