The characteristic equation of a system of delay differential equations (DDEs) is a nonlinear
equation with infinitely many zeros. The stability of a steady state solution of such a DDE …

This paper is concerned with the numerical solution of delay differential equations (DDEs).
We focus on the stability behaviour of Runge-Kutta methods for nonlinear DDEs. The new …

This paper is concerned with the stability of numerical processes that arise after semi-
discretization of linear parabolic equations wit a delay term. These numerical processes are …

This paper is concerned with the study of the stability of Runge-Kutta-Pouzet methods for
Volterra integro-differential equations with delays. We are interested in the comparison …

This paper is concerned with the stability of numerical methods for linear neutral Volterra
delay-integro-differential system. A sufficient condition such that the system is asymptotically …

This paper deals with the asymptotic stability of exact and discrete solutions of neutral
multidelay-integro-differential equations. Sufficient conditions are derived that guarantee the …

This paper is concerned with asymptotic stability property of linear θ-method for partial
functional differential equations with delay. A sufficient condition for the underlying partial …

The asymptotic stability of theoretical and numerical solutions for neutral multidelay-
differential equations (NMDEs) is dealt with. A sufficient condition on the asymptotic stability …

This paper deals with the singularly perturbed initial value problem for quasilinear first-order
delay differential equation depending on a parameter. A numerical method is constructed for …

In this article, we put forward an efficient method on the foundation of a few reproducing
kernel spaces (RK-spaces) and the collocation method to seek the solution of delay …