Accession Number : AD0707777

Title :   MULTIPLE SOLUTIONS OF A NONLINEAR INTEGRAL EQUATION,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Crandall,Michael G. ; Rabinowitz,Paul H.

Report Date : 1970

Pagination or Media Count : 11

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 u(x) = lambda the integral from 0 to 1 of K(x,y) H(y,u(y))u(y) 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