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Home  >  Volume 41

Application of Lyapunov Functions to Some Nonlinear Third Order Differential Equations by Okereke R.N.(pages 89-98)
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Lyapunov functions were initiated by a Russian Mathematician Alexander, M. Lyapunov. It is a generalization based on the well-known observationthat near the equilibrium point of a physical system, the total energy of agiven system is either constant or decreasing. So the idea here is to introduce somefunctions now known as Lyapunov functions which generalize the total energy ofa system. This paper centers on how to obtain Lyapunov functions for nonlinear thirdorder systems and their applications.

Keywords: Lyapunov functions; quadratic form; stability