A blow-up result in a nonlinear abstract evolution system with delay |
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| Authors: | Mohammad Kafini Salim A. Messaoudi Serge Nicaise |
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| Affiliation: | 1.Department of Mathematics and Statistics,KFUPM,Dhahran,Saudi Arabia;2.Université de Valenciennes et du Hainaut Cambrésis,Valenciennes Cedex 9,France |
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| Abstract: | 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. |
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