Accession Number:
ADA045841
Title:
Bifurcation from Simple Eigenvalues for Several Parameter Families.
Descriptive Note:
Interim rept.,
Corporate Author:
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Personal Author(s):
Report Date:
1977-08-11
Pagination or Media Count:
16.0
Abstract:
If lambda lambda sub 1,..., lambda sub N an element of the set R to the nth power, B,A sub 1,..., A sub N are bounded linear operators from a Banach space X to a Banach space Z, the concept of a simple eigenvalue for the operator B - the sum from j 1 to j N of lambda sub j A sub j is defined. It is then shown that bifurcation always occurs at simpe eigenvalues and the results are applied to a second order ordinary differential equation with boundary conditions at three distinct points. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics