Direct spring operated pressure relief valves are regular elements of high-pressure
hydraulic systems; however, valve vibrations may still occur endangering the valve and the …

We rigorously investigate the convergence of a new numerical method, recently proposed
by the authors, to approximate the reproduction numbers of a large class of age-structured …

We prove the validity of a Floquet theory and the existence of Poincaré maps for periodic
solutions of renewal equations, also known as Volterra functional equations. Our approach …

We propose a method for computing the Lyapunov exponents of renewal equations (delay
equations of Volterra type) and of coupled systems of renewal and delay differential …

We address the problem of the numerical bifurcation analysis of general nonlinear delay
equations, including integral and integro-differential equations, for which no software is …

The asymptotic stability of the null equilibrium of a linear population model with two
physiological structures formulated as a first-order hyperbolic PDE is determined by the …

Periodic solutions of delay equations are usually approximated as continuous piecewise
polynomials on meshes adapted to the solutions' profile. In practical computations this …

Recently, systems of coupled renewal and retarded functional differential equations have
begun to play a central role in complex and realistic models of population dynamics. In view …

Delay equations generate dynamical systems on infinite-dimensional state spaces. Their
stability analysis is not immediate and reduction to finite dimension is often the only chance …

In recent years we provided numerical methods based on pseudospectral collocation for
computing the Floquet multipliers of different types of delay equations, with the goal of …