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Breakdown for a Kirchhoff-type Beam with a Fractional Boundary Feedback.
- Source :
- Journal of Dynamical & Control Systems; Jan2008, Vol. 14 Issue 1, p71-94, 24p
- Publication Year :
- 2008
-
Abstract
- Abstract  A Kirchhoff-type equation describing the transversal vibrations of a beam is considered. The beam is clamped to a rigid base at one part of its edge and free at the remaining part. On the free part, it is subject to a feedback involving fractional derivatives instead of the classical velocity of the deflection and angular velocity. In presence of an external nonlinear source we prove that solutions blow up at a finite time. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
ALGEBRA
MATHEMATICS
SPEED
Subjects
Details
- Language :
- English
- ISSN :
- 10792724
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Dynamical & Control Systems
- Publication Type :
- Academic Journal
- Accession number :
- 29368369