Construction of Lyapunov Functions for the Stability of Sixth Order Ordinary Differential Equation-Reference-Cited by-同舟云学术

Construction of Lyapunov Functions for the Stability of Sixth Order Ordinary Differential Equation

Published:2022-09-01 Issue: Volume: Page:423-438
ISSN:2581-8147
Container-title:Earthline Journal of Mathematical Sciences
language:en
Short-container-title:EJMS

Author:

Tadema Ayokunle John¹,Adeniyi Ebenezer Olayinka¹

Affiliation:

1. Department of Mathematics, University of Ibadan, Nigeria

Abstract

This study employed Lyapunov function method to investigate the stability of nonlinear ordinary differential equations. Using Lyapunov direct method, we constructed Lyapunov function to investigate the stability of sixth order nonlinear ordinary differential equations. We find $ V(x) $, a quadratic form, positive definite and $ U(x) $ which is also positive definite was chosen such that the derivative of $ V(x) $ with respect to time was equal to the negative value of $ U(x) $.

Publisher

Earthline Publishers

Subject

General Medicine

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