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:

1972-09-28

Pagination or Media Count:

42.0

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