In this paper, we present a numerical integration method to solve singularly perturbed delay differential equations. In this method, we first convert the second order singularly perturbed delay differential equation to first order neutral type delay differential equation and employ the numerical integration. Then, linear interpolation is used to get three term recurrence relation which is solve...

The study of the oscillatory behavior solutions to second order nonlinear differential equations is motivated by their numerous applications in natural sciences and engineering. In presented research, some new oscillation criteria for a class damped neutral with noncanonical operators are established. results extend improve on those reported literature. Moreover, examples provided show signific...

In this paper, we proposed a numerical integration method for the solution of singularly perturbed delay differential equation with dual layer behaviour. In this method, an asymptotically equivalent first order neutral type delay differential equation is obtained from the second order singularly perturbed delay differential equation and employed Trapezoidal rule on it. Then, linear interpolatio...