Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations  

作　　者：R. N. Okereke R. N. Okereke(Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria)

机构地区：[1]Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria

出　　处：《Applied Mathematics》2016年第16期1971-1977,共8页应用数学（英文）

摘　　要：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.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.

关 键 词：Nonlinear ODE ENERGY Lyapunov Function Assymptotic Stability 

分 类 号：O17[理学—数学]