IJPAM: Volume 19, No. 1 (2005)

ESTIMATES OF WEIGHTED EIGENVALUES
FOR THE ELASTIC VIBRATING PLATE

Min Wang$^1$, Peiguang Wang$^2$
$^1$College of Mechanical and Civil Engineering
Hebei University
Baoding, 071002, P.R. CHINA
$^2$College of Electronic Information and Engineering
Hebei University
Baoding, 071002, P.R. CHINA
e-mail: pgwang@mail.hbu.edu.cn


Abstract.In this paper, the corresponding eigenvalue problem for the vibration of elastic plates under the natural boundary condition is considered. The aim of this paper is to give an upper estimate for weighted eigenvalues of the vibrating plate.

Received: January 27, 2005

AMS Subject Classification: 35P15

Key Words and Phrases: elastic plate, natural boundary condition, vibrating, weighted eigenvalue

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 1