This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra
integral equations (VIEs), ranging from Volterra's fundamental contributions and the …

The paper addresses a computational method to simulate more accurate models for
population growth with immigration, focusing on integral equations (IEs) featuring a delay …

In this article, a computational Haar wavelet collocation technique is developed for the
solution of linear delay integral equations. These equations include delay Fredholm …

Delay integral equations can be used to model a large variety of phenomena more
realistically by intervening in the history of processes. Indeed, the past exerts its influences …

In this paper the dynamics of differential equation with two linearly state-dependent delays is
considered, with particular attention focused on non-resonant double Hopf bifurcation …

In this article, we study the numerical solutions of the delay Volterra integral equations and
the system of delay Volterra integral equations using Single Term Walsh Series (STWS) …

In this paper, a multiple scales method (MMS) is employed to analyze Hopf bifurcations in
differential equations with two linearly state‐dependent time delays. Firstly, the linear …

Mathematical models for measuring pollutants, by predicting the amount of air quality
elements, play an important role to protect the human health. As one of these models, delay …

In this paper, we introduce a new class of Multistep Collocation Method (MCM) for solving
the non-linear Volterra Functional Integral Equations (VFIEs) including two types of linear …

This paper proposes an extrapolation method to solve a class of non-linear weakly singular
kernel Volterra integral equations with vanishing delay. After the existence and uniqueness …