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Ogundare, B.S. (2009) Qualitative and Quantitative Properties of Solutions of Ordinary Differential Equations. University of Fort Hare, Alice, South Africa.

has been cited by the following article:

• TITLE: Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations

  AUTHORS: R. N. Okereke

  KEYWORDS: Nonlinear ODE, Energy, Lyapunov Function, Assymptotic Stability

  JOURNAL NAME: Applied Mathematics, Vol.7 No.16, October 25, 2016

  ABSTRACT: This paper is concerned with the stability analysis of nonlinear third order ordinary differential equations of the form . We construct a suitable Lyapunov function for this purpose and show that it guarantees asymptotic stability. Our approach is to first consider the linear version of the above ODE, by taking and study its Lyapunov stability. Exploiting the similarities between linear and nonlinear ODE, we construct a Lyapunov function for the stability analysis of the given nonlinear differential equation.