A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini , Salim Messaoudi , Serge Nicaise (1)

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Domaines: Mathématiques [math]

Mohammad Kafini, Salim Messaoudi, Serge Nicaise. A blow-up result in a nonlinear abstract evolution system with delay. Nonlinear Differential Equations and Applications, 2016, 23 (2), p. 1-14. ⟨10.1007/s00030-016-0371-4⟩. ⟨hal-03163602⟩