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.

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE