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