New Search

Export article
Open Access

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

Ayokunle John Tadema, Ebenezer Olayinka Adeniyi

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) $.
Keywords: differential / Lyapunov function / sixth / ordinary / equations / respect / chosen / quadratic

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

Share this article

Click here to see the statistics on "Earthline Journal of Mathematical Sciences" .
References (6)
    Back to Top Top