Asymptotic and exponential stability of certain third-order non-linear delayed differential equations: Frequency domain method

作者：Afuwape Anthony Uyi^*; Castellanos Jairo Eloy

来源：Applied Mathematics and Computation, 2010, 216(3): 940-950.

DOI：10.1016/j.amc.2010.01.109

• Third order delay differential equation
• Asymptotic stability
• Exponential stability
• Periodic solutions
• Frequency domain method

We use the frequency domain method to prove that the zero solution of certain third order nonlinear delayed differential equations is asymptotically stable, (when there is no forcing term). We also prove the existence of a bounded solution which is exponentially stable, (when there is a bounded forcing term). The situation for which the non-linear term is delayed is also proved.

• 出版日期2010-4-1