Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842048 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 8 Pages |
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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Authors
Soraya Labidi, Nasser-eddine Tatar,