9 citations · 9 across the 5 of their papers we have counts for
6 papers
Well-posedness and stability for semilinear wave-type equations with time delay
Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a semilinear abstract damped wave-type equation with time delay. We assume that the delay feedback coefficient is variable in time and belonging to $L^1_{l…
Exponential decay for nonlinear abstract evolution equations with a countably infinite number of time-dependent time delays
Alessandro Paolucci
In this paper we analyze a nonlinear abstract evolution equation with an infinite number of time-dependent time delays and a Lipschitz continuous nonlinear term. By using a fixed p…
Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
Alessandro Paolucci, Cristina Pignotti
In this paper we study a class of semilinear wave type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, care…
Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay
Serge Nicaise, Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney bl…
Convergence to consensus for a Hegselmann-Krause-type model with distributed time delay
Alessandro Paolucci
In this paper we study a Hegselmann-Krause opinion formation model with distributed time delay and positive influence functions. Through a Lyapunov functional approach, we provide…
Consensus of the Hegselmann-Krause opinion formation model with time delay
Young-Pil Choi, Alessandro Paolucci, Cristina Pignotti
In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay sa…