Accession Number : AD0767130

Title :   Bifurcation, Perturbation of Simple Eigenvalues and Linearized Stability.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

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

Report Date : 28 SEP 1972

Pagination or Media Count : 42

Abstract : The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), BANACH SPACE, MATRICES(MATHEMATICS), SET THEORY, MAPPING(TRANSFORMATIONS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE