We consider a beam problem with a polynomial source and boundary damping of order between 0 and 1... more We consider a beam problem with a polynomial source and boundary damping of order between 0 and 1. Sufficient conditions on initial data are established to have blow-up of solutions in finite time.
... Permissions & Reprints. Exponential and polynomial decay for a quasilinear viscoelastic e... more ... Permissions & Reprints. Exponential and polynomial decay for a quasilinear viscoelastic equation. Salim A. Messaoudi Corresponding Author Contact Information , a , E-mail The Corresponding Author and Nasser-eddine Tatar a , E-mail The Corresponding Author. ...
ABSTRACT A nonlinear beam equation describing the transversal vibrations of a beam with boundary ... more ABSTRACT A nonlinear beam equation describing the transversal vibrations of a beam with boundary feedback is considered. The boundary feedback involves a fractional derivative. We discuss the asymptotic behavior of solutions. In fact, we prove that solutions blow up in finite time under certain assumptions on the nonlinearity.
We consider a beam problem with a polynomial source and boundary damping of order between 0 and 1... more We consider a beam problem with a polynomial source and boundary damping of order between 0 and 1. Sufficient conditions on initial data are established to have blow-up of solutions in finite time.
... Permissions & Reprints. Exponential and polynomial decay for a quasilinear viscoelastic e... more ... Permissions & Reprints. Exponential and polynomial decay for a quasilinear viscoelastic equation. Salim A. Messaoudi Corresponding Author Contact Information , a , E-mail The Corresponding Author and Nasser-eddine Tatar a , E-mail The Corresponding Author. ...
ABSTRACT A nonlinear beam equation describing the transversal vibrations of a beam with boundary ... more ABSTRACT A nonlinear beam equation describing the transversal vibrations of a beam with boundary feedback is considered. The boundary feedback involves a fractional derivative. We discuss the asymptotic behavior of solutions. In fact, we prove that solutions blow up in finite time under certain assumptions on the nonlinearity.
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