Accession Number:

AD0707777

Title:

MULTIPLE SOLUTIONS OF A NONLINEAR INTEGRAL EQUATION,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s):

• Crandall,Michael G.
• Rabinowitz,Paul H.

Report Date:

1970-01-01

Pagination or Media Count:

11.0

Abstract:

The report contains a simplified proof of a recent result of Pimbley, as corrected by Parter, concerning the number of solutions of the Hammerstein integral equation ux lambda the integral from 0 to 1 of Kx,y Hy,uyuy dy for a given value of lambda.

Descriptors:

• (*INTEGRAL EQUATIONS
• NUMERICAL INTEGRATION)
• NONLINEAR SYSTEMS
• BANACH SPACE
• NUMERICAL ANALYSIS
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE