Stability Analysis Of Solutions For A Class Of Second Order Impulsive Neutral Delay Differential Equations

In modern mathematics,impulsive neutral delay differential equations are widely used in practical applications,mainly in lossless transmission line networks.which means that its theoretical research is very important.However,it is very difficult to solve the explicit solutions of INDDEs,and some of them can not be solved.In recent years,many scholars have done a lot of research on the analytical and numerical solutions of NDDE,However,there are few studies on INDDEs.especially for second-order INDDEsThis thesis studies the stability of the second order INDDEs and numerical solutions,the problem is using the characteristic equation to discuss the equation.and proves that the Euler method works on the equation.The stability problem of the second-order INDDEs numerical solution is to use the reasonable hypoth-esis that the second-order NDDE with a second-order NDDE can be converted into a second-order NDDE,without a pulse disturbance.Finally,the conclusion is correct.