Display Abstract

Title Asymptotic stability for a class of semilinear evolution equations with time delay

Name Cristina Pignotti
Country Italy
Email pignotti@univaq.it
Co-Author(s) Serge Nicaise
Submit Time 2014-02-25 06:19:53
Session
Special Session 97: Analysis and control of nonlinear partial differential equation evolution systems
Contents
We study the asymptotic behaviour of solutions to an abstract semilinear evolution equation in presence of a time delay in the feedback. It is well-known that a time delay, even arbitrarily small, may destroy the stability of an exponentially stable model. On the other hand, time delay effects are often present in many applications and practical problems. We give an exponential stability result under suitable conditions. Some concrete examples that enter into our abstract framework are also illustrated.