Stability Analysis Of A Class Of Second Order Delay Differential Equations

The second order delay differential equations often airse in in pulse，control theory，economicsand so on. But few papers has deal with the stability of theoretical solutions and numerical solu?tions for the second order delay differential equations. The paper is concerned with the stabilityof the second order delay differential equations with multiple delays. Firstly, this paper gives asufficient condition of the asymptotically stable for a second order differential equations with twodelays by analysing the characteristic equation. Secondly we give a sufifcient conditions of RKNmethods of stable for the second order differential equations with two delays.