Paper Details: Downloads: 537
Serial Number: P1110842411
Title: Stability and Boundedness of Solutions of Certain Third-Order Non-Linear Delay Differential Equation
Authors: A. M. A. Abou-El-Ela and A. I. Sadek1 and A. M. Mahmoud
Abstract: This article presents sufficient conditions for the uniform stability of the zero solution when p equals zero, the uniform boundedness and uniform ultimate boundedness of all solutions in case p does not equal zero of the third-order nonlinear delay differential equation (1). By constructing Lyapunov functionals we achieved new contribution which includes and improves some related results existing in the relevant literature.
Keywords: Lyapunov functional, Stability, Boundedness, Third-order delay differential equations.
Journal/Conference: International Journal of Automatic Control and System Engineering
Volume: 9
Issue: 1
Submission Date: 10/16/2008 12:00:00 AM
Review Date: 11/16/2008 12:00:00 AM
Publishing Date: 3/13/2009 12:00:00 AM
Article Downloads: 537
Download:

Facebook