Title of article :
On an Riesz basis of generalized eigenvectors
of the nonselfadjoint problem deduced
from a perturbation method for sound radiation
by a vibrating plate in a light fluid
Aref Jeribi، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
In this paper we prove that the system of generalized eigenvectors of the operator (I + εK)−1 ×
d4/dx4 forms a Riesz basis of L2(]−L,L[) where K is the integral operator with kernel the Hankel
function of the first kind and order 0. This operator was introduced in J. Sound Vibration 177 (1994)
259–275. We give positive answers to the hypotheses posed in that article.
2003 Elsevier Inc. All rights reserved.
Journal title :
Journal of Mathematical Analysis and Applications