Accession Number:
AD0687012
Title:
BOUNDARY PROBLEMS AND EIGENVALUES OF THE GENERALIZED BIHARMONIC EQUATION,
Descriptive Note:
Corporate Author:
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
Personal Author(s):
Report Date:
1969-01-31
Pagination or Media Count:
24.0
Abstract:
The solution of boundary value and eigenvalue problems for a generalized biharmonic equation is analyzed utilizing the P-transformation methods developed by G. N. Polozhii. Two kinds of boundary conditions are defined and five cases are distinguished. The five cases are 1 on one side of a rectangle the boundary conditions of the first kind are satisfied and on the other sides the boundary conditions of the second kind are satisfied 2 on two opposite sides the boundary conditions of the first kind and on the other sides the boundary conditions of the second kind are satisfied 3 on two adjacent sides the boundary conditions of the first kind, and on the other sides the boundary conditions of the second kind are satisfied 4 on three sides the boundary conditions of the first kind and on one side the boundary conditions of the second kind are satisfied 5 on all sides the boundary conditions of the first kind are satisfied. The formula of summary representations, written in the scaler form, establishes the basis for solving the boundary-value and eigenvalue problems for all five cases of boundary conditions.
Descriptors:
Subject Categories:
- Theoretical Mathematics
- Mechanics