# Accession Number:

## AD0673008

# Title:

## SOME GENERALIZED EIGENFUNCTION EXPANSIONS AND UNIQUENESS THEOREMS.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1968-06-01

# Pagination or Media Count:

## 44.0

# Abstract:

A generalized eigenfunction expansion method, Churchills method, and a transform method are used to investigate the uniqueness of the solution of the equation the partial derivative with respect to y of py the partial derivative with respect to y of phix,y qyphi ry the second partial derivative of phi with respect to x 0, minus infinity x plus infinity, 0 y 1 subject to the boundary conditions phi sub yx,0 alpha sub 0 phi sub xx x,0 beta sub 0 phi x,0 0 and phi sub y x, 1 alpha sub 1 phi sub xx x, 1 beta sub 1 phi x, 1 0. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Fluid Mechanics